FOIA
SCIENTIFIC ABSTRACT ZVOLANKOVA, K. - ZVOLINSKIY, N.V.
Document Type:
Collection:
Document Number (FOIA) /ESDN (CREST):
CIA-RDP86-00513R002065710016-3
Release Decision:
RIF
Original Classification:
S
Document Page Count:
100
Document Creation Date:
November 2, 2016
Document Release Date:
September 26, 2002
Sequence Number:
16
Case Number:
Publication Date:
December 31, 1967
Content Type:
SCIENTIFIC ABSTRACT
File:
| Attachment | Size |
|---|---|
 CIA-RDP86-00513R002065710016-3.pdf | 5.79 MB |
Body:
XRONDL) A.,- MICHALEG) G.- VAVIUMCOVA, 11.1 VOKAO, V.; s~tatisLicke
zhodnoceni ZVOLAIMOVA) K.
Effect of the concentration of bile acids forzetabolism of lipids.
1. The degree and emulsion of lipids in man., Gesk.'gastroent., vyz.~
25 no.1:31-38 F 161.
1'. Ustav pro vyzkum vyzivy lidu v Fraze, roditel doe. MUDr. Josef
Masek Laborator pro proteosyntezu University KarlovV,v Praze, prednosts,
prof. Jar. Ho.rejsi.
(BILE ACIDS AND SALTS physiolJ
(LIPIDS metabolism)
HATLE, J,; ZVOLANKOVA) Ke
Seasonal variations in nutritional characteriStics., 2. Cesk,
gastroent. v7z. 17 no-6067-370 a 163.
1. Ustav pro vyzkum vrivy lidu v Prazap reaitel pr4. dr.
J. Masek, DrSo.
NUTRITION SURVErS) . (SEASONS)
DIETARY PROTEINS) (DIETARY FATS)~
~DIETARY CARBOHYDRATES) (VITAMIN9.)
i
i
i
i
i
i
i
i
I
i
i
!
i
I
i
MASEK, J.; KRIK&VA, L.; OSANCOVA, K.; statisticke zpracovafii,ZVOLANKOVA, K.;
HATLE, J.
Blood levels of cholesterol and phospholipids in the population.
III. Influence of diet and physical work (population studies).
Cas. lek. cesk. 102 no.8:198-204 22 F 163.
1. Ustav pro vyzkum vyzivy lidu, Praha-Kref'redital prof. dr. JAaek.
(BLOOD CHOLESTEROL) (PHOSPHOLIPIDS) (BLOOD LIPIDS)
(EXERTION) (FATS) (DIETARY PROTEINS) (ASCORBIC AGID)
(BLOOD CIMUCAL.A.14ALYSIS)
RATH, R.; PIACER, Z.; SIABOCHOVA, Z.; Technicka spoluprace: HRADIL07A, L.;
MUNCLINGEROVA, 14.; Statisticka spoluprace: ZVOIANXOVA, K... inz.
Body water space. Part 8. Cesk. gastroent. vyz. 19 no.6:335-339
S 165.
1. Ustav pro vyzkum vyzivy lidu v Praze (reditel prof. dr.
Jo Masek, DrSc.).
RATH, R.~Praha-Krc,, Budejovicka 800) MASEXj, J.; PETRASEXO R.; Techni.cka
spoluprace: M11CLINGEROVA, M.; Statioticka spoluprace:
_KYgLANXUA."., inz.
Some problems in obesity and body composition. Caso 16k. cesk.
104 no.5lil386-1389 .17 D 165.
1. Ustav pro vyzkum vyzivy lidu v Prate (reditel"pror. dr.
J. Masek, DrSc.). Submitted Anuary 1965.
ZVARA, V.; KOTULA, V.;
Ureterocele and its clinical significance. Cloak. radiol. 19
no.2:130-136 Mr 165.
1. Urolo icka klinika, (Prodnostat MUDr.F.Akas); rl, detska
klinika lprednostat prof. dr.~J. Michalickovila) Lokarskej
fakulty University Karlovy v Bratislave.
ZLVOLENS .M.; KAFELLEROVA, A.1 STEFANOVICOVA, V.
Recurrent and -,hronlc respiratory disease in Infanbts. Ce3k.
pediat. 19 no.8&688-692 Ag 164.-
1. 11. Detska klinika Lekarskej fakulty UniveraityXomenekeho
v Bratislave (prednostka prof. dr. J. Mchalickova).
S/126/~O/OOP/010/008/q16/XX
A0331k133
AUTHORS1 Gellperin, H.`V.; Zvolinskayat-1. V#; Par"enov, V. S.f ands
Sherman, A. D.
TITLEs Technological process of casting crankshafts for the AB-30
(DV-30) engine at the Vladimorovskiy traktarAyy zavod (.Vladi-
mirov Tractor Plant)!
PERIODICALt Liteynoye prdzvodstvo, no.,.10,-196o, 16,','-' 17
f
TEXTs Based on the experience of the Khar I kov' S orp,i molot"jiPlant,
the Vladimirov Tractor Plant started the casting of'orajakshafts for the
DV-30 engine. The authors enumerate the defioienoies oactirring during the
casting of the crankshaft for the 6MA-7 (SMD-,7) engine at;' the. "Serp i molottl
Plant and point out that the elimination of black spots by Increasing the
machining tolerances is not expedient; therefore, it is n:ecessary to pre-
vent the origination of black spots which can be attained by the desulfuri-
zation of the cast iron, bringing the $-content down to 0.008 - 0.005%.
This is possible if the cast iron is smelted in a bdaio electric furnace.
AttemptB were made to eliminate the technical difficulties connected with the
Card 113
S/128/60/000/010/008/616/zx
Technological process of casting crankshafts... A033A133
production of magnesium-modified cast iron by using other modifiers,1ikez'
cerium, tellurium, oalcium, strontium, lithium, etc. Tests proved oel~ium'
and foundry alloys on the base of cerium to be the most suitable modifiers,
In comparison with magnesium, cerium offers the following advantagess~no
metal ejection during modification; the assimilability of cerium amounts:to
not less than 30%; lower sensitivity of the cast iron to demodifiers; in-
significant cast iron temperature drop during the modification process (be-
tween 20 and 4000; uniform distribution of sulfur over the casting and tLb-
sence of black spots on its surface. In order to maintain-a constant;ohem-
ical cast iron composition during the investigations basic cast iron of the
following chemical composition (in %) wag smelted in a 3-tdn acid electric
furnaoet 3.5 - 3-6 C; 2.0 - 2.2 Si; 0.8 - 1.0 Mn; knot more than M4 S.
Then this cast iron was remelted in a 50-kg capacity Iacid induction furnace.
The metal was heated to 1,480 - 1,4500C, the modifiers (compositiont 5 - 7%
Mg, lWo Fe, 40 - 50~6 Ce, the rest rare earths) amounting to 0.4 - 0-35~0 of
the liquid metal weight was put on the ladle bottom.. To remove cementite'
formations and increase the mechanical properties, the cast iron Was subje.0i.
ed to additional modification by 0-3 - 0-40/6 CH (Si) 75 fer�ouilicium.. After
two minutes holding in the ladle the metal was poured into the crankshaft
Gard 2/3
Sll28V6,010001010100810161Xx
Technological process of casting crankshafts... A033/433
shell molds. Besides,.ppecimens were cast to determine thotmacro- and:
microstructure and the mechanical properties. Table 1 shows the results
obtained. The sand-resin mixture was prepared In a miier of NIILITMASh de~-
sign, model 821, the shell mold was made on a model 83P machine of KItITME2
design. The cast crankshaft structure con-tained ledeburite'oementite.' The
crankshafts were annealed as to the following conditio~st holding at 9500C
for 2 - 5 hours, cooling in the furnace to 6300C, holding at 6300C fOr~l
hour, cooling in the furnace to 4500C, further cooling.in the air. in;com-
pariaon to die-forged crankshafts 22 kg metal were saved with-each cast
crankshaft. The economic effect amounts.to,15~ of the crankshaft Costa
price. There are 4 figures, 2 tables and 4 Soviet-bloo references.
q
Card 3/3
~hu c-f the u L~
de tura 1. t-liag,:ams
of ir i-,arbor,--.vi!?ur klilip. ,;8.'na.2t483--JM
(M7Rk 17: 8)
1. Institut tekstilln,~'ga iTaBhincitroyantya,:
ADRIANOYA, V.P.; ANDREM, T.T.; ARANOVICH, H.S.; BAILSKly. B.S.; GJWMOV'~ N.Pw-'
GUBSTICH, B.Te.; DYOMN, B.S.; IMZAMOY, N.F.; ZVOLUSKI
KABLUKOYSKIT, A.F. ; KAMOYIC.H, A.P.
H.D.;.KCLOSOV, H.I.; KOROLU, A.A.; KOCHIM, TeJ,; LESKOV,! A.T,;
LITSHITS, M.A.; KATYUSHINA, N.Y.; MOROZOY,*A.N.-, POLUKAROYV~ D.I.;
RAYDEL's P.G.; ROKOTTAN, U.S.; SMOLTARENKO, D.A SOKOLOV, A.N.~;
USHKIN, I.N. -, SHAPIRO, B.S.;: EPSUM, Z.D*I; AU;4SKATA. R.F. . red.
izd-va; KARA A.I., tekhn.red.
(Brief handbook on metallurgy, 19601 Kratkiii spravochnik metallur-
ga, 1960. Moskva. Gos.nauchno-tekhn.izd-vo lit-iy po chernoi i~
tsvetnoi metallurgii, 1960. 369 p. (MIRA 1317)
(Ketallurgy)
VOLKOT, Yu.I., inch.; GAPANOVICH, A.A., kand.tekhn.rwuk; OLOKOV, N.G.,
kand.sellskokhoz.neuk; GORKUM, A.Ye., agr~,j ZHITNEY. 11.7.0 insh.;
UHIN, A.Y., kand.tekhn.nauk; ZAUSHITSY11, Y.Te., kand.tekhn.nauk;~
ZELITSERMAN. I.M., kand.te'khn.nauk; KAIPOV, A.1109
kand.tokhn.nauk; KASPAROVA, S.A., kand.sellskokhol4neuk; KOLOTUMKINA,
A.P., kand.ekon.nauk; KRUGLYAKOV, A.M., ingh.; KMUTIKOV, I.I., inzh.;
LAVRENTIYEV, L.F.. inzh.; LEBEM. B.M., kand.tekhn.nauk; LEVITIN,
Yu.I., inzh.; MAKHLIN, Ye.A., inzh.; HIKOLATI*,*V, G.S., Inch.;
PCLESHCBMiKO, P.V.. kand,tekhn.nnuk,- POLMIOCIIEV, 1.11., agr.-, PIYAKKOV,
I.P., kond.sel'skokhoz.neuk; RABINOVIC11, X.P., kand.tekhn.nauk;
:SOKCLOV, A.F., kand.sellskokhoz.nauk; STISMOVSKIY, A.A., inzh.*,
TURBIN, B.G., kand.tekhn.neuk; CHARAW, I.Y., inzh~; CHAPKETIC11, A.A.,
kand.tekhn.nauk; CMIOV, G.G., kand.tekhnnauk;:SOUUV. B.M., kand.
tekhn.nauk; KRAMUCHMO, A.V., inch., red.4 ELnSMM, M.I., inch.,
red.; MOLYUKOV, G.A., inzh., red.; X~AGOMM;Y]OVA,,N.Tu., inch., red.;
UVAROVA, A.F., tekhn.red.
[Reference book for the designer of agricalt.11ral machinery in~Wo
volumes] Spravochnik konstruktore sel1skokhaziais'tvennykh mas.hin.
v dvukh tomakh. Moskva. GoB.nguchno-teklin.izd-vo.,mashinostro~t.
lit-ry. Vol.l. 1960. 653 p. (HIRA 1.3:11)
(Igricultural machinery--Design and conatruction)
LAYWER, B.G.; CHUKAK, A.T.. insh., red.; BEZRUCHKIN, I.P.., kand.takhn,
nauk, red.; WIN, A.T., kand,tekhnonsuko redo; AQgNSKIT, N.P.,
inzh., red.; ITANOV, I.S., inzh., red.; U=59JR,
PWROV, G.D., kand.takhn.nauk, red.; PUSTYGIN, H..A~, doktor to).hn.
nauk, redo; RABINOVICH~J.P., 1wnd.tekhn.nauk, red:; RUDASMSKIY,
D.Sh., kBnd.tekhn,nauk, red.; SINECKOV, G.N*, doktor tekhn.nauk, rods;
SYSOYEV, N.L. kand.takhn.nauk, red.; F-RDOROV, V.A., insh,', redo;
CHAPERVICH, A.A., kand.takhn.nauk, redo; PONCRARETA, A.A., takhnored.
(Bibliographic manual on tillage machinery 9101 implements] Biblio-
graficheekii spravochnik po pochvoobrabetyvalushchim mashinam I orm-
diiam. Moskva, Gosplanizdat. No.2. (Literature in the Russian
language from 1730-1051 Literature na rueskom iazyke za 1730-1935 gg.
Pod red. G.H.Sinookova. 1959. 2163 p (MIRA 13:9);
1. Moscow. Vaesoyuznyy nauchno-issledovatel!skiy inBtitut sollsko-
khozyayetvannogo mashinostroyonlya,
(Bibliography-Agricaltural maoh:itery)
1 7
I I ~ t
ZVOLINSKIY, H.P.
Mounted three-section untie, Biul.tekh.-ekon.inlorm. no.,1334-
59 '59. (MMA 12:2)
A(Agricultural machinery);
1 11 it 1) 11 WA
a L.-S-9-J-6 p- 4, 1- a t -#A. a,
-P P-Ouolbr-4% -all
o* c TGVWOO 911, rat wiWqr Twatom.. V. W PLIa Ond M .00
S1*,-cOw#*s RAW" (Iwwjpl to PAW. d4o Sasloww. V"N
Ir-t OP, 101-IK 11M. lot Sir ding t6 tho Iinrar~
ellish."Mmo,
elasticity, the State of alrella of 4 prism subi4rclod to losiddlit%I t0tokm 4ioll
tension Is obtained by, vaperyclaing ths two wo of sttes"ta for forviort
and
.00,
te"XIOM acting Onximtely. and thiaw-ult'does Rat ILCC I with expeirimmt.
00 g
v%j)rvA%Wn kot the
In this palwt. wolul-4)"lor lorm 11TV MR111CRI in
ro 0
o6
0 0, 3 tho r INVO VVIAtioll! tWinfilAl Stle*W% jol I Vj Iih IVIIIIIIII)w
stfains, oolld i
-t
14 fin(W dimillacturentO t1lit vxciluiling tM
o be
Is acturowd t,
amptions r
40*
00 .
4
limit of propodiocoality. a, + "I. An coollit"Sioll Is tba
no*
0"
~
.
Z Q-&
worked out kr the tonkaW stifineso; T of the prism, lihi(h 11tovides a
: carmfirig factm to T. the stleloon In the atw"" of tv.114M. 11- P. A.
e
I see
O
'I 400
g 'tie -0
t
Pi
1141loOl too*
I'
5 r W
40 no 0 It
-
";
-
U
~p 0 OF0 go 0 419 A 14 It It of It " . ! -v It Is 11 a, I
IT40
0 0 0 0 o
O
0
0 0
09000,00 00 f 410900 S 0 0 40 0 0 0 Ill 46 o * 46 0 o 0 go
4or :;,
,, IS * 4R #00 0 el el o&.6 18
0 0,0 11
0
0-11
317. _P al; "Pum *Svc# ha Auda 4waadjue ---o-
-
"T
j
A A Laijul'), r. It.
UMSS, Ajw, 10, 1017, %uL 66, tw~ 1. ljo. 10-M. .00
III* jwjwr sleaU with l1w Iw%q*a%Lkm 4 IOAcm wnv~* in an
Q~
. ~ t '
-00
00 flamill Ovilli4mim mvestj Wilk a favel 44 inliovid twill-fivosibla
vale 40
I
00
.
bna&ty Ot 11M 044fe IWJIUM, While 16 W41YO ItOWS *AV IM911Vd
00 WIL Tweam*AmewwWwW .00
fude of the VvItwity q(P"4*Nx*m aftIve PUM wat", uml 4 the
,
vm in the swiii. i ~ By
swu slimific velijef" C4 philmalka of w%
the um of &6 6WO&CY culpfitiwi. ON vtwdty 1~11eIIII&I Uj Qjd
se
--
00 npres"I 0 Ifflialli wtuis I11vtAvIf* tvvu AdAtmfy rull(AkAie.
09 a 11M PAIWf Ill CII-Ally 1110tl"(W by
0
0 au ANAft-Alkasm at nunwtical ivauhs am given, .14 maj- 61 wii--
Joe
ImwrJ ujils wtwk 0~~ IV. ft. Ansil, M. VR.%9,
by V,
val. 0, pue. TI ft&Wtiw ama whact" 1w too A
41
110
USSR, Im, Is (w Kwwilu)j and M J- 196
Am&
AmL USSR, 1045, m MOD R~
"PLIPA
,
k Raud",
'00
lop I L A "IALLU04KAL LfTINAT1649 CLASSOKATICO
141roj it 441s
u UP L, f
W a ty lip 14 v a
I I.
a a It a w * 4 w cc it 19 n 1 '%4 OW
+
0 0 0 go* * 000
..
00 0 0 0 00 * 0 O'o 0 40 0 of 6 0 0W0 C$
0
L
;
a
9 00 go 10- 0 0 0 * 0 0 0 0 06 0 0 .0 ~O
O 0 0 6 ;g 4 00. 0.0 0
N 'M'Nm- ,lkm~ m -M.
1 -1 J-1 74
ZVOLIKSKIYJ N.V. DOC -PIIYSIMTH SCI
Dissertation: "Certain Problems of Vibration Piopaeation In an elastic Medium
vith Plane-Parallel Boundaries."
18 may 49
~-4
p
t1l
176T43
USSR/Geopbyacs - Seiawgraphy Jan/yeb 51
"Analysis of Head Wave Occurring in the Boundary Between Two ElastI6 Liquids," L.:P.
W.sev., N. V. Zorlinakiy, Geopbys Inst, Acad Sci UM
"1z Ak -'%uk SWRp Ser Geog i Geofie Vol XV0 No is pp 20-39
Dynamic properties of head wave produced byincidence of uave::I~vith nonplanar front on
boundary between 2 elastic media. Prqperttfis of this wave aiai of Interest for analysis
of seismographic observations. Wave analysis is processed by function-invariant soln
suggested by V. I. Smirnov and S. L. Sobolerv, assuming plane-polarized oscillations in
boundary plane between the 2-media. Oscillator is assumed to be poLut source of cen
propagation type*
PA 176T43
Cara 1/1
Author ZvolinBkiy, H. V., Dr. Phys-Math. Sci.;
Cand Phys-Math. Sci.;
Molo4enskiy, M. S., Corr. Mem. Acad. Sc i. US51i
Title Vnutrenneye stroyeniye zemli [Internal structure of,the Earth),
by V. F. Bonchkovskiy
Periodical : Izv. Ali SSSR, Ser geofiz. 3, p 299,- May/Jun 19,54
Abstract : Favorable review of geophysics:book, belonging to the popular:4cience
series put out by the Acad. Sci. USSR. The book contains a large
amount of material in the form of numerous graphs, maps., and tables.
Institution
Submitted
IliBLINSKIY, A.Yu.; ZVOL;NSKIY, N.Y.; STEPAnKKO, I.Z.~;
Theory of elasticity.DokI.AY SSSR 93 no.4:799- )I Ap 134.
(MLRA 7:13)
1. Dayetvitellayy chlea AL-ademii nauk USSR (for Ichlinekiy).
(Soil meahanics) (Blasting)
LEMINZON, Leonid Sarmilovich, 1879-1951 (deceased) Oro A.I.,
akadenik; TIKHONOT, A.N.; ILITUSHIM, A.A.; SOKOLOVSKI1,11 Y.T.1 GALI~,
L.A.; SHCHAMACM, V.N., doktor tokhnicheskikh hauk-, TM11F. P.A,,
doktor tekhnicheskikh nauk; GRIGORIM, A.S., kan4idat tekbnicheskikh
nauk; SKDOV, L.I., akademik, redaktor;ZTOLIWrr T.. profosoor.
rodaktor; ALESMETA, T.Y., tekhnichegn7 redaktot'-6--w
(Coilected works] Sobranis trudev. Koskva, Itd-v~IAlmdemli nm SSSR.
Vol.4[ Hydroasrodynamics. Geophysics) Gldroaerodln~nilm, Oeofizika.
1955. 398 P. Omak a-11)
1. Chlen-karrespondent AN SSSR (for Tikhonov. lllymshtnlv~ Sokolovskiy,
Galin)
(Geophysics) (Fluid dynamice)
FD-3091.
Card 1/1 Pub. 85 - 6116
Author : Zvolinskiy N. V., Ishlinskiy, A. Yu.; Stepanenko, 1. Z.
Title : Remarks on S. S. Grigoryan's article "Stating of,dynamic problems
for ideal plastic media"
Periodical Prikl. mat. i mekh., 19) Nov-Dec 1955, 733
Abstract The present authors remark that S. S. Grigoryan carried out'interesting
investigations of the equation of state of.plastic medium, wh~ich~
equation was proposed by them ("Dynamics of~grounii masses," DAN,SSSR,
95, No 4, 1954), and his results deserve atiention. Grigorya.h pointed
out that the energy condition on the surface of strong discontinuity
is fulfil-led during the entire time of the process only if in'the.
external region the pressure equals the critical pressure, as~was
assumed in the authors' work, and he also made a conclusion cbncer'ning
the impossibility ofthe existence of a certain zone III etc., As;,a
result Grigoryan concludes categorically that the:stated problem can-
not be solved by.means of the authors' equation of state. The present
authors cannot agree with the categorical character of this conclusion.
The authors consider their scheme as a limiting scheme and not as'com-
pletely solving the problem of deformation of densification of grounds.
The entire problem consists in whether their description gives the main
outlines of the phenomenon of dynamic densification of grounds'. The
problem remains open.
Submitted
.:ZVOLINSKIT. N.V.; SKURIDIX. G.A..
Aa7mptotic oolution of dynamidproblemo on the theory of elasticity,
Izv.AN SSSR.Ser.geofiz.no*2:134-143. Ir 156. (MA 9:7)
1,Akedemiya nauk SSSR, Geofizicheakiy institut.
(miasticity) (Waves)
SOV/124-57-9-10813
Translation from: Referativnyy zhurnal. Mekhanika, 1957, Nr 9, p 140 (USSR)
"IM"'S ''Zvolinskiy--Ni~V
AUTHORS: Antsyferov,,--. 4-Zod s ta nti nova, A. G~.
TITLE: On the Emission and Propagation of Quasi-harmonic Elastic Vaves
Under the Conditions Obtaining in Undergrotind Mines (Ob izuchenii
i raspostranenii kvazigarmonicheskikh uprugikh voln v usloviyakh
podzemnykh vyrabotok)
PERIODICAL: Tr. Geofiz. in-ta. AN SSSR, 1956, Nr ~.34 (16.1), pp ZBO-Z95
ABSTRACT- The authors examine problems. relating to the emission and pro-
pagation of quasi-harmonic stationary. elastic wavez under conditions
obtaining in underground mines. For the purposes of their examina-
tion of these problems the medium is considered to be ideally' horno-
geneous. They examine two types of driving forces: 1) Forces actin g
from within the elastic medium [ three -dime ns ion:al (spherical; Transl.
Ed. Note)] waves and Z) forces acting on them free boundary of a semi-
infinite medium (surface waves). It is ~esta6tished that the driving
power needed to excite surface waves having a given amplitude is ap-
proximately two orders of magnitude smaller than the driving power
Card 1/2 needed to excite three-dimensional waves having that same amplitude,
SOV/124-57-9-1,0813
On the Emission and Propagation of Quasi.harmonic Elastic Waves Under the (cont.)
Also, the authors elucidate the law whereby the intensity,;of the' emissive powe:r must
increase with the observer' s distance from the emitter. An account is given of ob-
servation methods used ,and the results obtained thereby!, in coal mines of the Don-
bass. While, in general, the author's experimental findings do support their theo-
retical conclusions, the wave - ~ttenuatlon picture as traced by1hem is rendered more
complicated in some respects by the operation of interference and resonance factors.
Included are experimental data on the propagation distance of elastic waves (in the
300-1, 000 cps frequency range) in Donbass coal seams and inthe rock enclosi Ing
them.
Authors' r6sum4
Card 2/?.
.4h,
;,~i 104 7 1111 ii'm if 4 -Tyl h i I 11 FuRl ftR I g 11 M ffs I I IRI 111 t 1] 11 ii I I I Ii-F :I ~
AUTHOR: Zvolinskiv, N. Vo 49-10-1/10
TITLE: Reflected and primary waves occurrinE at a plane boundary
of division of two elastic media. Part I. (Otrazhennyye
i golmyye volny, voznikayushchiye na ploskoy grani-coe
razdela dv-ukh uprugikh Bred. I)
PERIODICAL: Izvestiya Akademii Nauk SSSR, Seriya Geofizicheskaya,
1957, No.10, pp.1201-1218 (-USSR)
ABSTRACT: In 1933 Smirnov, V. and Sobolev, S~ (Re.f.1) published
a paper (in French) in which they mounded a new~method
of integration of the wave equation~6y means of the ~
functional-invariant solution. In earlier work, them
author of this paper and Zaytsev, L.P. (Refs.2 and 3)
found that this method is very suitable for studying
the near front zone of the wave and1eads to physically
clear results but they studied only~very simple problems.
G. S. Markhasev, G.S. (Ref.4) also.6onsidered them ~
reflection and refraction of spherical waves on a plane
boundary of two elastic media; he developed a method
of separating the asymptotic part of theiwave field.
However, he did not consider important features of the
wave field and his final results arein a too general.
Card 1/3 form which makes their practical utilisation difficult.
49-lo-i/io~,
Reflected end primary waves occurring at a plane boundary of
division of two elastic media. Part I.
In this paper the author shows that tile method of,
functionally invariant solutions can be 'applied f or the
ne&r front zone of the waves enterinp; on the backgrouind
of the preceding wave field in addition to the firsts
entries of the reflected waves and primary waves. Using
the method of functionally invariant solutions, the :
author studies the reflected and the main.waves forming
at a plane boundary of division of two elastic media.,
The author also describes a method of separating the:
asymptotic part of the field in a different formulation
which &Lves clearer results and the finalform of which
is convenient for practical application. ' The problem of
reflection and refraction of elastic waves on a plane.
boundary has also,been studied by other authors (Refs'.5-8)
who used different variants of the~method of sub-division
of the variables. However, for the given problem, the
method of functionally invariant solutiohs leads to the
same final formulae as the sub-divislon of the variables
and, therefore, the formulae arrived at in this paper T
are not new; they approach closely those.published by,
Card 2/3 Ogurtsov, K. I. (Ref.8). The derived final formulae,for
4~-10-1/10
Reflected and primary waves occurring at a plane boundary of
division of two elastic media. Part 1.
the incident and the reflected waves, eqs. (261") and -(25119
are given on p.1217; these are based on the assumption '
that the duration of the action of,the source is so small
that all the caused disturbances are located within thel
near front zone.
There are 8 figures and 10 references,~? of which are
Slavic.
SUBMITTED: February 7, 1957.
ASSOCIATION: Ac.Sc.-, U.S.S.R. Institute of Physics bf the Earth,:
(Akademiya Nauk 83SR Institut Fiziki Umli).
AVAILABLE: TAbrary of Congress
Card 3/3
>/ 49-1-1/16
AUTHOR: Zvolinskiy, N.V.
TITLE: Reflected and Direct Waves Occurring at~the Plane Boundaxy
of Division Between Two Elastic Media. I ; (Otraz hennyye ' i,
golovnyp volnyp voznikayushchiye na ploskoy granitse
razd6lu dvukh uprugikh sred. II)
PERIODICAL: Izvestiya Akademii Nauk SSSR, Seriya Qeofizicheskayaf
195BY Nr 1, pp.3-16 (USSR).
ABSTRACT: The problem was investigated in Ref A)of the reflection
and the refraction of sphbrical waves at~a plane boundary
between two elastic half-spaces. The solution of this pro-
blem was derived by the method of functionally~ invariant ~
solutionsp and the possibility of approximately describing
~he reflected wave PP in the region of incidence was
indicated. In the present paper the author considers the
approximate description of the reflected wave, PS and the
direct waves in the region of incidence. . The statement of
the problemg the choice of a frame of reference and them
choice of symbols are as in Ref.(J). It'is assumed that
at a distance, z0 from the plane boundary division
there consists a point source of disturbance emitting a
sphericalf longitudinal wave. The source strength is
Card /,,given by:
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
1p0 (r, Z, t) - a, (alt - Ro) when alt > no
0 when alt 110 (Eq~'.I)
The velocities of propagation of the waves in the two half-
spaces are assumed to satisfy the inequality
b a b
/, a
(Sq. 1,
2
2
Under these conditions there are two refleot'~ d waves PP
and PS , two refracted waves PPI and PSI , and five
direct waves PPP, PPSF Put PSSI PPSi, The radial
and axial components of the disturbance specified by the
wave PS are expressed by the formulae (Ref'.1):
Card 2/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media'. II.
2 Tr
b Cos wdto
qs Re B
1r
0
A
a2 dto
(Eq.2')
wS Re B
IT
0
VT
Here A is a function of r, z, t, w, defined by
Card 3/11
49-1-1/16-';
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
l~-
t r Cos 1 z
7
;2-
2
-V'bl
is the coefficient of reflection of the reflected
tran.sverse wave (Ref'.1). Anew variable is introduced by
the relation
I - b 2,U%, 2
In terms of the new variable Eq*. (3) take.s the form
b t r /1 S2 Cos w zS aOVS2 0
Card 4/11
49-1-1/16
Reflected and Direct Waves Occurring at tile Flane Boundary of
Division Between Two Elastic Media. II.
where b2
2
T
a
The integral expressions (Eq'.2.) are transfo=ed to
Re
I(bly- YS-1 '--r I VY1- rim 4)
ts
Card 5/11
S
Res
-VI ST sin Q
9
-Reflected and Direct Waves Occurring at- the Plane Boundaxy of
Division tetween Two Elastic Media'. II.
B(s) denotes the coefficient of refLea'tion'of the trans-
verse wave regarded as a function of the new variable s,.
The path of integration obtained by transforming the I
straight line segment (0170 in the plane w is denoted
by Is In order to clarify the characteristic properties
of the line 1 . and the possibility of transforming the
path of integrationt it is necessary to study the trans-'
formation of the plane of the complex variable s des-
cribed by the function
b t za - a0
W Cos
It is proved that the equation dW/ds 0 has a s ingle
root wbich-lies on the real axis to the right of the
point y . The zeros of dW/ds lying in the finite part
of the plane are given by
Card 6/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.,
z + Z. (1 y2 b ts, 0 q
71 0 W,0)
VS-F T
By considering the change in argW1 round a closed
contour in which W, (s) is regular, it is seen that
there is one real root'. If W, (1) -c-' 0 , then the root
lies in the interval (y, 1) '. The author considers t he
contour 1 under the supposition that the above in-
s
equality holds, and derives:
Card 7/11
Reflected and Direct Waves Oc=-ring at the Plane.Boundary of
Division Between Two Elastic Media'. II.
(z.s +-zYs'- Y' - 6,t)s*L S
7rb Ir Re (S)
(Sq-0 21 1
0-1 ReSS(S) -S9S ds
S Irb,
1-S (SM S - 9 1 J -(SL - 5)
in which s1 and s 2 are the images of t~e points
W= +1 and W = -1 and x(s) is a holomorphic
function which does not vanishin the plane in 'which there
is a out between the po ints S, and s 2 The problems
Card 8/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
now arises of obtaining from Eqs.(211),'asymptotic expres.s-
ions describing the field of disturbance in the region of
incidence of wave PS. The required expressions are:
a1 R(cos m) sin a cos2 M
qs b f, (6n)
R
al B(cos m) cos a sin2 a
w fs (A n)
R
0V
where R is given by
z sin P~cos M
R (Eq-141
V sin Cos 0
and cos s0 and 8 0 is the value of s at the
vertex of the wave front? and f(s) is~given by:
Card 9/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
.Division Between Two Elastic Media. If.
f (S) M r2 (3. - r,2) sin:20 = X
2 (s) (s - s (Eq'.13)
The author goes on to study the direct waves, and obtains
from Eq'. (21 1
a 1 sin?- P., (cos 021)5/2
S, 2b Ilio L3 42 f (An) (E62V
sinF P,
and (cos g~21)3/2
W, B 21,
s 2b 10 -Ve-,t 372- f (A.n) (Eq.22'.t)
1
where B10 is the coefficient of the direct wave PPSO
Card 10/11
'Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
COs r s in 0
T2 l 2it bit ZY21 7-01R21 T2 2
rL dr sin m + dz cos r Cos a - (I+ z 0 s in., a
There are 10 figures and 2 Slavic references.
ASSOCIATION: Ac~'. of Sciences USSR, Institute of;Earth, Physics
(Ake.demiya naut SSSRj Institut fiziki Zemli)
SUBMITTED: September 27, 1957.
AVAILABLE: Library of Congress.
Car
C) L' I "V S K //Y /V
AUTHOR: Zvolinskdy, N. V.
TITLE: Reflected and Direct Waves 0'.'CurlAnf~ -'wt the Pland
Boundary Between Two Elastic Metila. III.
(Crtrazheraiyye i Solovnyje volny,' VOW(iikayasht~hl7q'
na ploskoy granitse razdela dvuldi upr%t,--Jk1i s:ved. 111.)
oe,pj? Geafizicheska~,,a.
PMLIODICAL: Izvestiya Akademii JTauk
1958, 1fr. 21 pp. 165-174. tu's4'-
ABSTI-UCT: In Refs. 1 and 2 were discussed refliact-ed and:di3~ect
waves occurrinG on a bac.1%,round
Of such a character aTe the waves PPP. and
PPS, and also the reflected vva-~os PIJ and PC) i-n
ree,ions up. to the criti--~al ane;J e13eyond the, critical
ant,le the nature of the refle(-~ttllid X'Mve e,~hanges markedly.
A similar chan,6e takes place in.t1ie waves PSP and
PSS by comparison virith 111-T zinl PPS r--spectivejy.
This raises a number of questiciv~ which are discu'ps-od
in the present paper. In sttid-tring tbo~ field of
Card 1/7 PSP and PSS we .91mll define 'a':.nly t;hose components
Reflected and Direct 'Waves Occu.r,M*nG --Lt the -Boundary
Two Elastic T.Aedia III
of the field which an di.sconrinuouF,~at the front::.
In order to study the wave PSP~i i t, is. necesoa~ry o
return to the represen.Aatio,a of t he
reflected lon(,;itudinal warve which vizira
Eqs.16 of Ref.l. The auttlor tkl~ln goes to. t...Ier~tvo
closed fomulao for the daiucitin 1,s,,, nai6rabotixbood ~,,r
the front of the %tave PSP f.)r the ifher,
incident wave has the form of ~a ~s*'-,epfl If tW11
has arbitrary fora, then the rssii-U be
by the method of aupe rpo sit, ior,, vith addill-Jonial
condition that the displac-emon't',ii. on the ini*AidenLt:
wave are non-zexc~ only for a
neiGhbourhood of the:fi!ont, V1, a tMl
investigated in a similar mannov~, and. the trani3itlora
-to an arbitrary wa-im-form, is made, in tile same AV,
ay
as for the wave ~SP. Ta Section 5 of Ref and
Section 2 of Ref.2 weze given e-xPresaions fo-.c thit,
-,hl
displacement fields in tho ne'j-& poi,rhoods of
fronts of the imaves PP and Pro' ior thr;r-e part-s of
Card 2/7 the front, which are situated beb-14,na. tile initla~', t,()Urcl:~,
Refloc t ed and Dixe ct *Waves Occurring, the T" 1-ane -Bounda Be: t~,-e ea
Two Blastic 1,1,e d ia . I I I
of the direct waves. For othor'Tartz of the txcnts
which appear on the backoround ahoad of the direct
waves the character of the disph:icemeiat field IMOI I'aln-
additional component. This commorLen'; is si-atlar to
that which appears in the rofle(~7tion of a pland %,E-
beyond -the critical angle. Thio situatrion can ,-.,c r
in four different forms: the ivla've PP, can DO
oI--,(,rved aj~ainst the backGroiuid of the, direct vrav-,;-:
PPP or the dimet vrave PSP; the reflected:1,1a.Vn
can be obser,,red aGainst the backgr-our-A Lof P-PS
PSS Avoidinr,~ sunerfluous
-these cases need be discussed in de t;ail; fov e.-!~3 a-ale
Une ca2e of tne zave PP ap "D or PPI-7 ~ :~,
�Or
the other cases only the final re, Sults are nM_V*eV_.
U .
The general expression for displ8l.e"ORIE"Alts in the
reflected lonsitudiral 1'ra-ve was, ~;iven' by formula 16
o-'L.' Ref.2. in the three: bases for %,.rhich re.,mlts a.,,re
C'ard mey-~'.- auoted,. the form-ulae~ apply Wlhon the -.,,ave I has
Reflected and Diroct 'JaveB Occurring, at he Plane 11 o--,xudar 'Y
~Mo 'ilastic Media. III.
the form ofa step. The a~ithoZ noter, errorO
which haw been noti,~ed in his pvF-1VjC~-,jC, nkra,
In Re f in -the denominators i n -161he fo---mulae an
-p./4-8 the index 31/4, should be roplalced 'by 7, 21~
This orrov affects some of 't"he at the.
end of the paper. In "lie formulae foi, q,, and w.
on p.47 a loSarithmic term has been OrAtted" Ial Rcf.
4 an e--nplicit e-.m_ression for the reflected. T."'alre
appearinG after a direcF, wave nct deduced, ar-A this
led to an incorrect interprot-ti,c~'r"
4,
reflection coefficientiE;
the. end' of Section -2, on p.~q 7.
k~ - -A- A
and on P.45 at the end of Seation 5)~~ In hii~
conclusions to the three papers tlie w.-ttlior st,,~,teljz,
1. -[results of Refs. I and 2 and the present pa-;per
ma,!-.e it possible to derive formalae from
ceneral intega-Lil reprermntatiowq) whiC,11. arena Ai-alid in
the nei,,:-hbourhoods of the fronts of the separate waves.
Card 4/7 These foriailae are sufficiently s.-laple for
-3/2-8
49-53-~2 !
L4 r nF "u- t-hc, 1:;Iano T 2etneen
he-flect-ed and j'aves acc,-,,,.' a
'
-10 Blas
21 tic Ve(~; 0'. 111
t po--7~ iibl-a solve the
quescion of the foorin, o. fti'--,e m`- the. in-
ten;3-.*Lty o-.1'" the matc I V!;, S li~hose formulae are
Li'Lentical i,ith -,-hoso obt:Anod by =U-1102~s
-1010.
to in the introd-,.,.c-~U-ion o, first aa~fj-
U.
2. In -'-'Yl .:~S' behind th-e
first soin?ce of Wic- dlirect .,I-ave, tli~;Ifoa:-u of the
U
oscillations remains, Iihe scmo :~.,s in t-he inci6e~,t
Wave The form. and ,uniplitude; 'froil
lormalae 25 of Ref.1, and D-jr'
111. -ect vroves P111, mil FT31 th-,, form of
In "Ghe UiL It
the oscillat-ions is obtained b-Ir fitactions
describin~G the foism of the -~r-ve. 1"orL-alae
for calculatin(~, the fi(-,,ld of the~--,e vmv-3-s deduced
in Ref.2.
4. In the reflected t.-aves PF P3 ahebA of - the
source of the first di-rect -.,ave th-:~- foim of'the
oscillations changes. '-ilo the eou-
t-1 L)onent v.-hi ch
Card 3/7 duplicates the oscillations in the incident wave is
49-58-2-3/18
R,e-Clected and-:-Virect -.V,,_',.ves Occ-arri,1_2; Lit thel Plane Boundary, B etm e e n
o 31,q st ic Eedia. III.
a dl d e d -a t e r Ta which has a form em"IjuGate t-o the o mr, i
of the incident wave. Calculat-.on of the field is
carriea out from formulao 'In) to (12) off the present
pap e r
5. The oscillationn in tho OLiracu "'iaves FSP i, and
S also consist of t-,-io components. The fitst
duplicates the form of the vv,71.v.,C PF2 and FSP, h e
second has a conjugate form. Calculation of'a
field is carried out -fox-mulv%e (4); (41) 6~.nd:'(G)
of the present paper.
6. The intensity of the o-ricillations (amplitiade')
of the separate waves '.Lepenas not only on their type
_; -md1tho --maplitude: of ~ the
the pro-portuies of the rnidir.
incic"Lonit wave, biit also on IJU-IjA. .o mul This shov-1-s that
re,mlr,~IinG the arqj)lituJ,.) ol" a viave as a (:Ilyni~~[..A6 P.':'o-_ICrtY
in the interpretation c-it seisr1olo,,,;ica,1 obse.-.,WLt ions, it
is necesoai-j to talze into account -the -forn of.the
incident wave. ~,Ihoa!e ,,'xo 2 fij~.,mror'j ond 11. U~isoiZ.ii
referunces.
Mart
Reflected and Direct Waves OccurrinE4 at the Planei ounrlau7
B .1, Be-aeen.
Two Elastic Media. III
ASSOCIATION: Academy of Sciences USSR, Institute of Earth, Yhypics
(Akademiya nauk SSSR, Institut f'7zilci Zenll)
SUBIMTED: September 2?, 195?-
AVAIIABLE: Library of Congress.
Card
VSTCHINKIN, Vladimir Petrovich;,.,gTOLINSKIY, N.Y,, otv,red,;.POLYAKHOT,
N.Y., otv.red.; SHAPOVAIA'h',
takhn#red.-
[Selected works] Isbrannya trady. Moskva, lid-vo Akad.nauk
SSSR. Tol.2. (Borew propellerso' Strength of:airplanaej
Grebaye vinty. Prochnosto samAeta. 1959. 431 p. (KIRA 1217)
(Propellers, Aerial) (Airplanes--.Design aid construction):
Al
13
Al
I
list
lot
21
- 1 t
'80 Ali~t
-lid j g
16-7300 77989
AUTHOR: Zvolinskly, N. V. (Moscow)
TITLE.- Propagation of an Elastic Wave Due toa Spherical Ground
Explosion
PERIODICAL: Prlkladnaya matemattka I mekhanika 196o, Vol Nr 1,
pp 126-133 (USSR)
ABSTRACT: This article extenda some reaults for~rigldly plastic
material (6btained by the authorl~jointly with A~. Yu.
Ishlinskly and I. Z. Stepanenko:(DAN~',1954, Vol 95'?
Nr 11)) to material which Is elastic-plastic. He :
considers the adiabatic propagation o;f a s0heri cal wave
due to a blasting charge occupying a spherIcal:cav,ity
(the wave process Inside the cavity ls'.not considered).
Several assumptions are made which thbauthor notes are
subject to empirical verification. Ftrat. the~wovk of
plastic deformation Increases with In:-1veasIng mean, stress
0-, and in passing from one state to a neighb6rin'g
state, the change In'work Is g Ive nby:
Card 1/5
Propagation of an Elastic Wave Due to a ;7798
Spherical f
tround Explosion SOVII? -17/28
&A - ~m(o)j&(JdV
In writing this down,,the change in elomental wo19C Ls
assumed to be proportional to the''maxl6wn shear 0 ' )
W Ith the p roport tonal ity f ac tor m(, Cr Cr/2 + 2Y_ /3
and mt > 0. Secondly, the medium can.exist In only
two s ,ates: an initial elastic st ate and a packed
incompressible state, the passage,from,the ftrst.to~
the second occurring instantaneously. :,This model is
a special case of one,proposed by".S. S.. Grigorya,n
(DAN, 1959, Vol 1211 '1 Nr 2) and is'I;similar to models
used by Ishlinskiy (Uk~. matem. zhiurnal, 1954, Vol
Nr 4) and A. Kompaneyets.(DAN,- 1966, Vol 109., Nr.1).
When the initial stress Is largeenougti, the ground:
becomes packed In the neighborhood of the cavity, and
this packing continues to spread.' A derivation of the
equations and boundary conditlons:ts then given per-
tinent to four stages which are characterized by:
Card 2/5 (a) a shock due to the packing of the ground which
1011 of' an W;lv(! Due 116, ,1
Sphet.l.cmi (Wound Explosioll sov/)l o - ~?)l - I -
B
-,r)V0,Ud!J Vel.AlVe LO t;)K' Lill, I Ui 1; u vba~d me o 1. 11m; (1)) an clazi-
tic, wave propalratIng volul,Jve to the uqdABtuvbed mfudlum;
1,he packed zone fallowtngr~ after I V~ the: 8hockrt, 66t
cevve.9 ai a boundavy, and the padt ILng of,the gvound
continues; (c) an elastic wave [a prop;.igating; Wie
packed zone follows after, it With !;vcon Itact discOn-
t1M11ty M'I a boundavy; the plmjtli~ V.1ow continuesh 'ut
U d d I
-t1Qt],R1 J!J-00tld PaCICII-Itf, dOeO Hot OCCUP (d) the
s Loppag ,e o V L he packed :7.one; the b;ick 1front or the
ela."'tic wave brealm off, and the w, 'ive goeti off to inri-nity.
Ener,gy canaldevatlano lead t1o a con(MA011 relating the
vadial stresj and: the vemal-nIng, st'vensin component
cr
(Ta 3
0
ThIs Ls imed In connect,ion wLt;ii tho. equatlon of motibn
and the condItion to abtal.n expresl3lons
for- Cr In th(~ fll-St 11wee Inval."flng, cevtbln~
a rh 1. t va I orl.-. f-, it) t o an 'At
Aic unknoW6 l'unt:tIono v (t) a wl
1-TopagatIon of' an Elastic Wave Due to:a 77989
Spher-l-cal. GL-Ound Explo-3 Ion -24 - 1-17/2,8
"ov/11o
Vor the uphericai cavity and nhoelc wave. :In
eacli case It Is shown how .the bour)(hiry i.,ondillona' on,
the shock and moving v~.ivlty, ao well a.,31: tabllit'k, In',
the fir-st stage and i , -implIfyIng Imoumption in the
secont-.1 stage, i,eduec the pr-oblem to,detet-ml-ning on Ly
the f,unctioll 1, (t). in -Aag
-,(3 (a), a rl~i-.It-omler
linear. dIfTeveriblal equation 1'01:- "01, (1 v
a depende"I.- V, and z ;~4 v-
I, I ab I a-,3-1 11, lepen (jell t
variable lo coru~itvuuted, Thl,-i r~-qOO;Iuw .511owu f, 11. ra t,
the oliockf'r-ottt speed deeve,:uies andilappmwAiet, ze t-o j
I . e .,the !'Lv3t Btag
_,e cannot contlt,~ue Inderinitely.
When the spoed of' the shock becomoli equal arid sniallev
th,Jn 30LInd SpeCd 111 bil(~ till d IS f 111CI(J-11API, an ellp- Otic
Wave avlse.; and the oecond st;q,le b0sgln;3~. In ,,tag,e
(1)), a nonlinear, I'li-st-ot-det, (II[Terent-fill equatioln Ii)
obtained f'ot- the ol,mw vavlabler; A111(.1 z, whicli ag*uLni
t;lIe ,pe(.!(1I of' J,I)(,, t1joi-!j~ (I r. Zd 1, 111 o I -I o t or un Iy
Propagation of an Elastic Wave Due to a 77989'
Spherical Ground Explosion SOV/40-24-1-17/28
decreases to zero. However, the law or conservation
of mass shows that at a certain Instant, the shock
i! continues.
ceases to exist, though the motLo)
this third stage, the author introdLlCeBa contact d 'is-
continuity separating the packed veglon and elastic~wave
and suitable boundary'conditions on it:, Again
an
.
equatiop for the above variables Is obtained which shows
3/dt)2
z (dr vanishes at a certain value. This
corresponds to the end of the flow of the plastic
layer and the start of the fourth~stage, This stage
can be handled by known methods.::A, A~. Git-b and S. S.
Grigcryan assisted in the preparation of the paper. There
are 3 figures; and 6 Soviet references~.
SUBMITTED: October 12, 1959
Card 5/5 i
L-38709-66 an(l). GD
ACC NRt AT6016916 0) SOURCE CODE: UP./60a,/65/000/000/0432/0443
AUTHOR: Zvolinskiy, N. V Flitman, L. M.; Kostrov, B.
L.;:Afanaslyev, V. At
ORG: Institute of P~jsics of the Earth, AN SSG;R,.Moscow (Institut fiziki Zemli AN
SSSR); Institute of Proble LAf Sciences, SSSR,(Instittit problem
mekhaniki Akademii nauk SSSR)
TITLE: Some problems in the diffraction of elastic waves
SOURCE: International Symposium on Applications of the Theog of Functions of Con-
tinuum Mechanics. Tiflis. 1963. Prilozheniya orii funktaiy v-i-ekhanike sploshnoy
sredy. t. 1: Mekhanika tverdogo tela (Applications of the theory of functions In con-
tinuun mechanics. v. 1: Mechanics of solids); trudy simpoziuma. Moscow, Izd-vo Nauka,
1965, 432-443
TOPIC TAGS: elasticity theory, partial differential equation, integral equation',
boundary value problem, approximate solution
ABSTRACT: Three problems are studied., (1) That of waves fomed in an elastic medium
as a result of momentary disturbance of the continuum along an infinitely long plane
strip of finite width. The dynamic equations of elasticity theory are solved under
boundary value conditions corresponding to time with initial conditions zero. thi "
problem is shown to be reducible to the Wiener-Hopf problem; (2) The problem of Iootion
under the action of a plane wave of a solid infinite strip in an elastic space. ~ This E
Card l/ 2
L 38709-66
ACC NRs AT6016916
problem is a generalization of the problem of diffraction ~f a plane elastic wave on
a screen in the form of a strip. Parameters of motion of the strip are defined;to sa-
tisfy the equations of motion; (3) The problem of the "transparent prism": two elas-
tic (acoustic) media separated by an angular boundary. An effective method is pre-
sented for computing the field diffraction for this problem. The authors thank! G. F.
Manqftyidze for valuable consultation. Orig. art. bas: .,4i fomulas, 3 figures.
SUB CODE: 20,12/ SUBM DATE: 13Aug65/ ORIG REF:: ~010/ OTH REF!s 0.02
Card 2/2 f~~
Tial
1LU1, A-":
VIZ.
1011 sit:
AVMORSt Zvolinskiyo N. V. (MUSCOW) Rykov, G, V. (Moscoll)
!TITLE: Reflection of a planar plastic wave and its rei'rmation at the bouxtdA17
two half spaces I
SOURCE: Prikladnaya matematika I atekhanika, v- 29o no- 41 1965p 672-660
.TOPIC TAGSi vibration, shook wave propagationt shook wmv4ii diffraction, shock WiLve
reflection, plastic deformation, elastic deformation
~ABSTRA.M The action of a plant[r plastic wave striking In a normml direotion Upon
the boundary of two claeto-plastic half-Races io studied. It 0 assumed WuLt the
initial portion of a compression diagTan (see Tie. 1 on We Encloaure) correaponding
to elastic deformation is a straight line (OC in Fig. 1) partiom of a monot(micia
increasing curve. In all, six asses of the qualitative natirre (elastic or plmsti~a
of the three waves (incident, reflected, and. refracted) mre poenible. The current
study deals w-ith two cases: 1) all three wares are plastic, andl 2) the incident and
reflected waves are plastic, wid the refracted wave Is elamtic., Yhd atudy Ls for
the puxWse of obtaining quantitative deocriptione of tho waves, md also to
Idetermino th~ conditions causfiM, special canes. Lagranglan aoca4imstes are uae4l as
expressed in the equation
I x(h,t) - h + U(htt)
t Card t4
iA
:.-,-L 041-66
1 561bN Re AP50213(3:i
;where u is displacement, and x is an Euler coordinate. Stresses and straixis are
related by the equations
oil
W 0 W
41
z (h'. Q + Z. 9) - rf me (1)
6 01
+
where P0 is initial density, and- P is the density boyand the front of the iaoiden~
wave (p e- P.). Additional equations are given describing the nature of the shock
fronts leading to an equation for the shock front in. Lograulgian aoordinatea. Elach
of the th-ree wwre typee ia desaribed mathematically in raLa,ti= tm stress,, strain,
and propagation apeed in the coordinates defined~ Reflection and. refraction
coefficients 3.re developed. The methods derived azg applied to certain special
casea. -1--lig. airt. hajr*k 3' eqA;Ltiaue and 2 figuxes.
Z~ E
HPI
ASSOCIAT1091 none
$OMITTED t 15DeC64 ERCLc 01 sm:cbwt~ Hsi:
NO REF SOVt 002 MSMI 000
ad 2/3
14041-66
LCCESSIOIT NR A.P5021302
Entosm, 01
Fig* I
ZVOLINSKIYA_N.V. (Moskva)
Wave problems in the theory of elasticity ota continuous medium.
Izv, AN SSSR. Mekh. no.1.109-12) ja-F 165.
ZVOLINSKIY, NJ,_; RYKoV, G.V.
Reflection and refraction of plancs plaotle silras. Dokl. AN SSSi~ 16Z
no.5s1041-1043 Ap 1650 (NIRA 181-5)
1. Institut fiziki Zemli im. O.Yu.Shmidta AN SSSR. Submitted
November 11, 1964*
GRIGORYAN, S.S.; GRIB, A.A.; KAC,HANOV, L-PI4.; PETWSHEN) G.I.
E.I.Shemiakin's axiticlo "Expansion of a gas cavit on a nonecimproi.asible
elastoplastic medium; study of the action of'an explosion oalthe;~
groundO and N.S.Medyedeva and E.I.Shemiakin's art;icle Oftrain waves
caused by underground explosion in rocks. , ImAM SSSR.Otd.tekh.:na4k.
Makh.i. mashinostr. no-5:173-177 S-0 162. . (K~4 15:10)
(Explosions) (Shemiakin, B.I.) (Madiedva, U.S.)
1,w;-n 3",-,27 la
L 11
he a-u t-. or s J[ c',- r '-~c 7" L)i
a- t - :m
I -L-! L 1 :1:. 11:1 i, I L~~! -1:
1(1,:c, /ri:3 i'027,~noL/ojj/027
),ast-;C
0~ Ll
c -f
T
1+1 4t
17f
T%e re I cc t ion of a 7)'- a!3 t- c wxrc D
a finite interval -
,V~t
0- titlc,
cr
.,
zero. ~ 1-10 C~jre o f reflecf,-4,0~1 ~1-!
C -'13
Ile 1. -u -,IC- (I
"Arc
u It
-Iv
3 C~ctooer 24, 19 6 2
C-ard 3/3
XRONDL) A.,- MICHALEG) G.- VAVIUMCOVA, 11.1 VOKAO, V.; s~tatisLicke
zhodnoceni ZVOLAIMOVA) K.
Effect of the concentration of bile acids forzetabolism of lipids.
1. The degree and emulsion of lipids in man., Gesk.'gastroent., vyz.~
25 no.1:31-38 F 161.
1'. Ustav pro vyzkum vyzivy lidu v Fraze, roditel doe. MUDr. Josef
Masek Laborator pro proteosyntezu University KarlovV,v Praze, prednosts,
prof. Jar. Ho.rejsi.
(BILE ACIDS AND SALTS physiolJ
(LIPIDS metabolism)
HATLE, J,; ZVOLANKOVA) Ke
Seasonal variations in nutritional characteriStics., 2. Cesk,
gastroent. v7z. 17 no-6067-370 a 163.
1. Ustav pro vyzkum vrivy lidu v Prazap reaitel pr4. dr.
J. Masek, DrSo.
NUTRITION SURVErS) . (SEASONS)
DIETARY PROTEINS) (DIETARY FATS)~
~DIETARY CARBOHYDRATES) (VITAMIN9.)
i
i
i
i
i
i
i
i
I
i
i
!
i
I
i
MASEK, J.; KRIK&VA, L.; OSANCOVA, K.; statisticke zpracovafii,ZVOLANKOVA, K.;
HATLE, J.
Blood levels of cholesterol and phospholipids in the population.
III. Influence of diet and physical work (population studies).
Cas. lek. cesk. 102 no.8:198-204 22 F 163.
1. Ustav pro vyzkum vyzivy lidu, Praha-Kref'redital prof. dr. JAaek.
(BLOOD CHOLESTEROL) (PHOSPHOLIPIDS) (BLOOD LIPIDS)
(EXERTION) (FATS) (DIETARY PROTEINS) (ASCORBIC AGID)
(BLOOD CIMUCAL.A.14ALYSIS)
RATH, R.; PIACER, Z.; SIABOCHOVA, Z.; Technicka spoluprace: HRADIL07A, L.;
MUNCLINGEROVA, 14.; Statisticka spoluprace: ZVOIANXOVA, K... inz.
Body water space. Part 8. Cesk. gastroent. vyz. 19 no.6:335-339
S 165.
1. Ustav pro vyzkum vyzivy lidu v Praze (reditel prof. dr.
Jo Masek, DrSc.).
RATH, R.~Praha-Krc,, Budejovicka 800) MASEXj, J.; PETRASEXO R.; Techni.cka
spoluprace: M11CLINGEROVA, M.; Statioticka spoluprace:
_KYgLANXUA."., inz.
Some problems in obesity and body composition. Caso 16k. cesk.
104 no.5lil386-1389 .17 D 165.
1. Ustav pro vyzkum vyzivy lidu v Prate (reditel"pror. dr.
J. Masek, DrSc.). Submitted Anuary 1965.
ZVARA, V.; KOTULA, V.;
Ureterocele and its clinical significance. Cloak. radiol. 19
no.2:130-136 Mr 165.
1. Urolo icka klinika, (Prodnostat MUDr.F.Akas); rl, detska
klinika lprednostat prof. dr.~J. Michalickovila) Lokarskej
fakulty University Karlovy v Bratislave.
ZLVOLENS .M.; KAFELLEROVA, A.1 STEFANOVICOVA, V.
Recurrent and -,hronlc respiratory disease in Infanbts. Ce3k.
pediat. 19 no.8&688-692 Ag 164.-
1. 11. Detska klinika Lekarskej fakulty UniveraityXomenekeho
v Bratislave (prednostka prof. dr. J. Mchalickova).
S/126/~O/OOP/010/008/q16/XX
A0331k133
AUTHORS1 Gellperin, H.`V.; Zvolinskayat-1. V#; Par"enov, V. S.f ands
Sherman, A. D.
TITLEs Technological process of casting crankshafts for the AB-30
(DV-30) engine at the Vladimorovskiy traktarAyy zavod (.Vladi-
mirov Tractor Plant)!
PERIODICALt Liteynoye prdzvodstvo, no.,.10,-196o, 16,','-' 17
f
TEXTs Based on the experience of the Khar I kov' S orp,i molot"jiPlant,
the Vladimirov Tractor Plant started the casting of'orajakshafts for the
DV-30 engine. The authors enumerate the defioienoies oactirring during the
casting of the crankshaft for the 6MA-7 (SMD-,7) engine at;' the. "Serp i molottl
Plant and point out that the elimination of black spots by Increasing the
machining tolerances is not expedient; therefore, it is n:ecessary to pre-
vent the origination of black spots which can be attained by the desulfuri-
zation of the cast iron, bringing the $-content down to 0.008 - 0.005%.
This is possible if the cast iron is smelted in a bdaio electric furnace.
AttemptB were made to eliminate the technical difficulties connected with the
Card 113
S/128/60/000/010/008/616/zx
Technological process of casting crankshafts... A033A133
production of magnesium-modified cast iron by using other modifiers,1ikez'
cerium, tellurium, oalcium, strontium, lithium, etc. Tests proved oel~ium'
and foundry alloys on the base of cerium to be the most suitable modifiers,
In comparison with magnesium, cerium offers the following advantagess~no
metal ejection during modification; the assimilability of cerium amounts:to
not less than 30%; lower sensitivity of the cast iron to demodifiers; in-
significant cast iron temperature drop during the modification process (be-
tween 20 and 4000; uniform distribution of sulfur over the casting and tLb-
sence of black spots on its surface. In order to maintain-a constant;ohem-
ical cast iron composition during the investigations basic cast iron of the
following chemical composition (in %) wag smelted in a 3-tdn acid electric
furnaoet 3.5 - 3-6 C; 2.0 - 2.2 Si; 0.8 - 1.0 Mn; knot more than M4 S.
Then this cast iron was remelted in a 50-kg capacity Iacid induction furnace.
The metal was heated to 1,480 - 1,4500C, the modifiers (compositiont 5 - 7%
Mg, lWo Fe, 40 - 50~6 Ce, the rest rare earths) amounting to 0.4 - 0-35~0 of
the liquid metal weight was put on the ladle bottom.. To remove cementite'
formations and increase the mechanical properties, the cast iron Was subje.0i.
ed to additional modification by 0-3 - 0-40/6 CH (Si) 75 fer�ouilicium.. After
two minutes holding in the ladle the metal was poured into the crankshaft
Gard 2/3
Sll28V6,010001010100810161Xx
Technological process of casting crankshafts... A033/433
shell molds. Besides,.ppecimens were cast to determine thotmacro- and:
microstructure and the mechanical properties. Table 1 shows the results
obtained. The sand-resin mixture was prepared In a miier of NIILITMASh de~-
sign, model 821, the shell mold was made on a model 83P machine of KItITME2
design. The cast crankshaft structure con-tained ledeburite'oementite.' The
crankshafts were annealed as to the following conditio~st holding at 9500C
for 2 - 5 hours, cooling in the furnace to 6300C, holding at 6300C fOr~l
hour, cooling in the furnace to 4500C, further cooling.in the air. in;com-
pariaon to die-forged crankshafts 22 kg metal were saved with-each cast
crankshaft. The economic effect amounts.to,15~ of the crankshaft Costa
price. There are 4 figures, 2 tables and 4 Soviet-bloo references.
q
Card 3/3
~hu c-f the u L~
de tura 1. t-liag,:ams
of ir i-,arbor,--.vi!?ur klilip. ,;8.'na.2t483--JM
(M7Rk 17: 8)
1. Institut tekstilln,~'ga iTaBhincitroyantya,:
ADRIANOYA, V.P.; ANDREM, T.T.; ARANOVICH, H.S.; BAILSKly. B.S.; GJWMOV'~ N.Pw-'
GUBSTICH, B.Te.; DYOMN, B.S.; IMZAMOY, N.F.; ZVOLUSKI
KABLUKOYSKIT, A.F. ; KAMOYIC.H, A.P.
H.D.;.KCLOSOV, H.I.; KOROLU, A.A.; KOCHIM, TeJ,; LESKOV,! A.T,;
LITSHITS, M.A.; KATYUSHINA, N.Y.; MOROZOY,*A.N.-, POLUKAROYV~ D.I.;
RAYDEL's P.G.; ROKOTTAN, U.S.; SMOLTARENKO, D.A SOKOLOV, A.N.~;
USHKIN, I.N. -, SHAPIRO, B.S.;: EPSUM, Z.D*I; AU;4SKATA. R.F. . red.
izd-va; KARA A.I., tekhn.red.
(Brief handbook on metallurgy, 19601 Kratkiii spravochnik metallur-
ga, 1960. Moskva. Gos.nauchno-tekhn.izd-vo lit-iy po chernoi i~
tsvetnoi metallurgii, 1960. 369 p. (MIRA 1317)
(Ketallurgy)
VOLKOT, Yu.I., inch.; GAPANOVICH, A.A., kand.tekhn.rwuk; OLOKOV, N.G.,
kand.sellskokhoz.neuk; GORKUM, A.Ye., agr~,j ZHITNEY. 11.7.0 insh.;
UHIN, A.Y., kand.tekhn.nauk; ZAUSHITSY11, Y.Te., kand.tekhn.nauk;~
ZELITSERMAN. I.M., kand.te'khn.nauk; KAIPOV, A.1109
kand.tokhn.nauk; KASPAROVA, S.A., kand.sellskokhol4neuk; KOLOTUMKINA,
A.P., kand.ekon.nauk; KRUGLYAKOV, A.M., ingh.; KMUTIKOV, I.I., inzh.;
LAVRENTIYEV, L.F.. inzh.; LEBEM. B.M., kand.tekhn.nauk; LEVITIN,
Yu.I., inzh.; MAKHLIN, Ye.A., inzh.; HIKOLATI*,*V, G.S., Inch.;
PCLESHCBMiKO, P.V.. kand,tekhn.nnuk,- POLMIOCIIEV, 1.11., agr.-, PIYAKKOV,
I.P., kond.sel'skokhoz.neuk; RABINOVIC11, X.P., kand.tekhn.nauk;
:SOKCLOV, A.F., kand.sellskokhoz.nauk; STISMOVSKIY, A.A., inzh.*,
TURBIN, B.G., kand.tekhn.neuk; CHARAW, I.Y., inzh~; CHAPKETIC11, A.A.,
kand.tekhn.nauk; CMIOV, G.G., kand.tekhnnauk;:SOUUV. B.M., kand.
tekhn.nauk; KRAMUCHMO, A.V., inch., red.4 ELnSMM, M.I., inch.,
red.; MOLYUKOV, G.A., inzh., red.; X~AGOMM;Y]OVA,,N.Tu., inch., red.;
UVAROVA, A.F., tekhn.red.
[Reference book for the designer of agricalt.11ral machinery in~Wo
volumes] Spravochnik konstruktore sel1skokhaziais'tvennykh mas.hin.
v dvukh tomakh. Moskva. GoB.nguchno-teklin.izd-vo.,mashinostro~t.
lit-ry. Vol.l. 1960. 653 p. (HIRA 1.3:11)
(Igricultural machinery--Design and conatruction)
LAYWER, B.G.; CHUKAK, A.T.. insh., red.; BEZRUCHKIN, I.P.., kand.takhn,
nauk, red.; WIN, A.T., kand,tekhnonsuko redo; AQgNSKIT, N.P.,
inzh., red.; ITANOV, I.S., inzh., red.; U=59JR,
PWROV, G.D., kand.takhn.nauk, red.; PUSTYGIN, H..A~, doktor to).hn.
nauk, redo; RABINOVICH~J.P., 1wnd.tekhn.nauk, red:; RUDASMSKIY,
D.Sh., kBnd.tekhn,nauk, red.; SINECKOV, G.N*, doktor tekhn.nauk, rods;
SYSOYEV, N.L. kand.takhn.nauk, red.; F-RDOROV, V.A., insh,', redo;
CHAPERVICH, A.A., kand.takhn.nauk, redo; PONCRARETA, A.A., takhnored.
(Bibliographic manual on tillage machinery 9101 implements] Biblio-
graficheekii spravochnik po pochvoobrabetyvalushchim mashinam I orm-
diiam. Moskva, Gosplanizdat. No.2. (Literature in the Russian
language from 1730-1051 Literature na rueskom iazyke za 1730-1935 gg.
Pod red. G.H.Sinookova. 1959. 2163 p (MIRA 13:9);
1. Moscow. Vaesoyuznyy nauchno-issledovatel!skiy inBtitut sollsko-
khozyayetvannogo mashinostroyonlya,
(Bibliography-Agricaltural maoh:itery)
1 7
I I ~ t
ZVOLINSKIY, H.P.
Mounted three-section untie, Biul.tekh.-ekon.inlorm. no.,1334-
59 '59. (MMA 12:2)
A(Agricultural machinery);
1 11 it 1) 11 WA
a L.-S-9-J-6 p- 4, 1- a t -#A. a,
-P P-Ouolbr-4% -all
o* c TGVWOO 911, rat wiWqr Twatom.. V. W PLIa Ond M .00
S1*,-cOw#*s RAW" (Iwwjpl to PAW. d4o Sasloww. V"N
Ir-t OP, 101-IK 11M. lot Sir ding t6 tho Iinrar~
ellish."Mmo,
elasticity, the State of alrella of 4 prism subi4rclod to losiddlit%I t0tokm 4ioll
tension Is obtained by, vaperyclaing ths two wo of sttes"ta for forviort
and
.00,
te"XIOM acting Onximtely. and thiaw-ult'does Rat ILCC I with expeirimmt.
00 g
v%j)rvA%Wn kot the
In this palwt. wolul-4)"lor lorm 11TV MR111CRI in
ro 0
o6
0 0, 3 tho r INVO VVIAtioll! tWinfilAl Stle*W% jol I Vj Iih IVIIIIIIII)w
stfains, oolld i
-t
14 fin(W dimillacturentO t1lit vxciluiling tM
o be
Is acturowd t,
amptions r
40*
00 .
4
limit of propodiocoality. a, + "I. An coollit"Sioll Is tba
no*
0"
~
.
Z Q-&
worked out kr the tonkaW stifineso; T of the prism, lihi(h 11tovides a
: carmfirig factm to T. the stleloon In the atw"" of tv.114M. 11- P. A.
e
I see
O
'I 400
g 'tie -0
t
Pi
1141loOl too*
I'
5 r W
40 no 0 It
-
";
-
U
~p 0 OF0 go 0 419 A 14 It It of It " . ! -v It Is 11 a, I
IT40
0 0 0 0 o
O
0
0 0
09000,00 00 f 410900 S 0 0 40 0 0 0 Ill 46 o * 46 0 o 0 go
4or :;,
,, IS * 4R #00 0 el el o&.6 18
0 0,0 11
0
0-11
317. _P al; "Pum *Svc# ha Auda 4waadjue ---o-
-
"T
j
A A Laijul'), r. It.
UMSS, Ajw, 10, 1017, %uL 66, tw~ 1. ljo. 10-M. .00
III* jwjwr sleaU with l1w Iw%q*a%Lkm 4 IOAcm wnv~* in an
Q~
. ~ t '
-00
00 flamill Ovilli4mim mvestj Wilk a favel 44 inliovid twill-fivosibla
vale 40
I
00
.
bna&ty Ot 11M 044fe IWJIUM, While 16 W41YO ItOWS *AV IM911Vd
00 WIL Tweam*AmewwWwW .00
fude of the VvItwity q(P"4*Nx*m aftIve PUM wat", uml 4 the
,
vm in the swiii. i ~ By
swu slimific velijef" C4 philmalka of w%
the um of &6 6WO&CY culpfitiwi. ON vtwdty 1~11eIIII&I Uj Qjd
se
--
00 npres"I 0 Ifflialli wtuis I11vtAvIf* tvvu AdAtmfy rull(AkAie.
09 a 11M PAIWf Ill CII-Ally 1110tl"(W by
0
0 au ANAft-Alkasm at nunwtical ivauhs am given, .14 maj- 61 wii--
Joe
ImwrJ ujils wtwk 0~~ IV. ft. Ansil, M. VR.%9,
by V,
val. 0, pue. TI ft&Wtiw ama whact" 1w too A
41
110
USSR, Im, Is (w Kwwilu)j and M J- 196
Am&
AmL USSR, 1045, m MOD R~
"PLIPA
,
k Raud",
'00
lop I L A "IALLU04KAL LfTINAT1649 CLASSOKATICO
141roj it 441s
u UP L, f
W a ty lip 14 v a
I I.
a a It a w * 4 w cc it 19 n 1 '%4 OW
+
0 0 0 go* * 000
..
00 0 0 0 00 * 0 O'o 0 40 0 of 6 0 0W0 C$
0
L
;
a
9 00 go 10- 0 0 0 * 0 0 0 0 06 0 0 .0 ~O
O 0 0 6 ;g 4 00. 0.0 0
N 'M'Nm- ,lkm~ m -M.
1 -1 J-1 74
ZVOLIKSKIYJ N.V. DOC -PIIYSIMTH SCI
Dissertation: "Certain Problems of Vibration Piopaeation In an elastic Medium
vith Plane-Parallel Boundaries."
18 may 49
~-4
p
t1l
176T43
USSR/Geopbyacs - Seiawgraphy Jan/yeb 51
"Analysis of Head Wave Occurring in the Boundary Between Two ElastI6 Liquids," L.:P.
W.sev., N. V. Zorlinakiy, Geopbys Inst, Acad Sci UM
"1z Ak -'%uk SWRp Ser Geog i Geofie Vol XV0 No is pp 20-39
Dynamic properties of head wave produced byincidence of uave::I~vith nonplanar front on
boundary between 2 elastic media. Prqperttfis of this wave aiai of Interest for analysis
of seismographic observations. Wave analysis is processed by function-invariant soln
suggested by V. I. Smirnov and S. L. Sobolerv, assuming plane-polarized oscillations in
boundary plane between the 2-media. Oscillator is assumed to be poLut source of cen
propagation type*
PA 176T43
Cara 1/1
Author ZvolinBkiy, H. V., Dr. Phys-Math. Sci.;
Cand Phys-Math. Sci.;
Molo4enskiy, M. S., Corr. Mem. Acad. Sc i. US51i
Title Vnutrenneye stroyeniye zemli [Internal structure of,the Earth),
by V. F. Bonchkovskiy
Periodical : Izv. Ali SSSR, Ser geofiz. 3, p 299,- May/Jun 19,54
Abstract : Favorable review of geophysics:book, belonging to the popular:4cience
series put out by the Acad. Sci. USSR. The book contains a large
amount of material in the form of numerous graphs, maps., and tables.
Institution
Submitted
IliBLINSKIY, A.Yu.; ZVOL;NSKIY, N.Y.; STEPAnKKO, I.Z.~;
Theory of elasticity.DokI.AY SSSR 93 no.4:799- )I Ap 134.
(MLRA 7:13)
1. Dayetvitellayy chlea AL-ademii nauk USSR (for Ichlinekiy).
(Soil meahanics) (Blasting)
LEMINZON, Leonid Sarmilovich, 1879-1951 (deceased) Oro A.I.,
akadenik; TIKHONOT, A.N.; ILITUSHIM, A.A.; SOKOLOVSKI1,11 Y.T.1 GALI~,
L.A.; SHCHAMACM, V.N., doktor tokhnicheskikh hauk-, TM11F. P.A,,
doktor tekhnicheskikh nauk; GRIGORIM, A.S., kan4idat tekbnicheskikh
nauk; SKDOV, L.I., akademik, redaktor;ZTOLIWrr T.. profosoor.
rodaktor; ALESMETA, T.Y., tekhnichegn7 redaktot'-6--w
(Coilected works] Sobranis trudev. Koskva, Itd-v~IAlmdemli nm SSSR.
Vol.4[ Hydroasrodynamics. Geophysics) Gldroaerodln~nilm, Oeofizika.
1955. 398 P. Omak a-11)
1. Chlen-karrespondent AN SSSR (for Tikhonov. lllymshtnlv~ Sokolovskiy,
Galin)
(Geophysics) (Fluid dynamice)
FD-3091.
Card 1/1 Pub. 85 - 6116
Author : Zvolinskiy N. V., Ishlinskiy, A. Yu.; Stepanenko, 1. Z.
Title : Remarks on S. S. Grigoryan's article "Stating of,dynamic problems
for ideal plastic media"
Periodical Prikl. mat. i mekh., 19) Nov-Dec 1955, 733
Abstract The present authors remark that S. S. Grigoryan carried out'interesting
investigations of the equation of state of.plastic medium, wh~ich~
equation was proposed by them ("Dynamics of~grounii masses," DAN,SSSR,
95, No 4, 1954), and his results deserve atiention. Grigorya.h pointed
out that the energy condition on the surface of strong discontinuity
is fulfil-led during the entire time of the process only if in'the.
external region the pressure equals the critical pressure, as~was
assumed in the authors' work, and he also made a conclusion cbncer'ning
the impossibility ofthe existence of a certain zone III etc., As;,a
result Grigoryan concludes categorically that the:stated problem can-
not be solved by.means of the authors' equation of state. The present
authors cannot agree with the categorical character of this conclusion.
The authors consider their scheme as a limiting scheme and not as'com-
pletely solving the problem of deformation of densification of grounds.
The entire problem consists in whether their description gives the main
outlines of the phenomenon of dynamic densification of grounds'. The
problem remains open.
Submitted
.:ZVOLINSKIT. N.V.; SKURIDIX. G.A..
Aa7mptotic oolution of dynamidproblemo on the theory of elasticity,
Izv.AN SSSR.Ser.geofiz.no*2:134-143. Ir 156. (MA 9:7)
1,Akedemiya nauk SSSR, Geofizicheakiy institut.
(miasticity) (Waves)
SOV/124-57-9-10813
Translation from: Referativnyy zhurnal. Mekhanika, 1957, Nr 9, p 140 (USSR)
"IM"'S ''Zvolinskiy--Ni~V
AUTHORS: Antsyferov,,--. 4-Zod s ta nti nova, A. G~.
TITLE: On the Emission and Propagation of Quasi-harmonic Elastic Vaves
Under the Conditions Obtaining in Undergrotind Mines (Ob izuchenii
i raspostranenii kvazigarmonicheskikh uprugikh voln v usloviyakh
podzemnykh vyrabotok)
PERIODICAL: Tr. Geofiz. in-ta. AN SSSR, 1956, Nr ~.34 (16.1), pp ZBO-Z95
ABSTRACT- The authors examine problems. relating to the emission and pro-
pagation of quasi-harmonic stationary. elastic wavez under conditions
obtaining in underground mines. For the purposes of their examina-
tion of these problems the medium is considered to be ideally' horno-
geneous. They examine two types of driving forces: 1) Forces actin g
from within the elastic medium [ three -dime ns ion:al (spherical; Transl.
Ed. Note)] waves and Z) forces acting on them free boundary of a semi-
infinite medium (surface waves). It is ~esta6tished that the driving
power needed to excite surface waves having a given amplitude is ap-
proximately two orders of magnitude smaller than the driving power
Card 1/2 needed to excite three-dimensional waves having that same amplitude,
SOV/124-57-9-1,0813
On the Emission and Propagation of Quasi.harmonic Elastic Waves Under the (cont.)
Also, the authors elucidate the law whereby the intensity,;of the' emissive powe:r must
increase with the observer' s distance from the emitter. An account is given of ob-
servation methods used ,and the results obtained thereby!, in coal mines of the Don-
bass. While, in general, the author's experimental findings do support their theo-
retical conclusions, the wave - ~ttenuatlon picture as traced by1hem is rendered more
complicated in some respects by the operation of interference and resonance factors.
Included are experimental data on the propagation distance of elastic waves (in the
300-1, 000 cps frequency range) in Donbass coal seams and inthe rock enclosi Ing
them.
Authors' r6sum4
Card 2/?.
.4h,
;,~i 104 7 1111 ii'm if 4 -Tyl h i I 11 FuRl ftR I g 11 M ffs I I IRI 111 t 1] 11 ii I I I Ii-F :I ~
AUTHOR: Zvolinskiv, N. Vo 49-10-1/10
TITLE: Reflected and primary waves occurrinE at a plane boundary
of division of two elastic media. Part I. (Otrazhennyye
i golmyye volny, voznikayushchiye na ploskoy grani-coe
razdela dv-ukh uprugikh Bred. I)
PERIODICAL: Izvestiya Akademii Nauk SSSR, Seriya Geofizicheskaya,
1957, No.10, pp.1201-1218 (-USSR)
ABSTRACT: In 1933 Smirnov, V. and Sobolev, S~ (Re.f.1) published
a paper (in French) in which they mounded a new~method
of integration of the wave equation~6y means of the ~
functional-invariant solution. In earlier work, them
author of this paper and Zaytsev, L.P. (Refs.2 and 3)
found that this method is very suitable for studying
the near front zone of the wave and1eads to physically
clear results but they studied only~very simple problems.
G. S. Markhasev, G.S. (Ref.4) also.6onsidered them ~
reflection and refraction of spherical waves on a plane
boundary of two elastic media; he developed a method
of separating the asymptotic part of theiwave field.
However, he did not consider important features of the
wave field and his final results arein a too general.
Card 1/3 form which makes their practical utilisation difficult.
49-lo-i/io~,
Reflected end primary waves occurring at a plane boundary of
division of two elastic media. Part I.
In this paper the author shows that tile method of,
functionally invariant solutions can be 'applied f or the
ne&r front zone of the waves enterinp; on the backgrouind
of the preceding wave field in addition to the firsts
entries of the reflected waves and primary waves. Using
the method of functionally invariant solutions, the :
author studies the reflected and the main.waves forming
at a plane boundary of division of two elastic media.,
The author also describes a method of separating the:
asymptotic part of the field in a different formulation
which &Lves clearer results and the finalform of which
is convenient for practical application. ' The problem of
reflection and refraction of elastic waves on a plane.
boundary has also,been studied by other authors (Refs'.5-8)
who used different variants of the~method of sub-division
of the variables. However, for the given problem, the
method of functionally invariant solutiohs leads to the
same final formulae as the sub-divislon of the variables
and, therefore, the formulae arrived at in this paper T
are not new; they approach closely those.published by,
Card 2/3 Ogurtsov, K. I. (Ref.8). The derived final formulae,for
4~-10-1/10
Reflected and primary waves occurring at a plane boundary of
division of two elastic media. Part 1.
the incident and the reflected waves, eqs. (261") and -(25119
are given on p.1217; these are based on the assumption '
that the duration of the action of,the source is so small
that all the caused disturbances are located within thel
near front zone.
There are 8 figures and 10 references,~? of which are
Slavic.
SUBMITTED: February 7, 1957.
ASSOCIATION: Ac.Sc.-, U.S.S.R. Institute of Physics bf the Earth,:
(Akademiya Nauk 83SR Institut Fiziki Umli).
AVAILABLE: TAbrary of Congress
Card 3/3
>/ 49-1-1/16
AUTHOR: Zvolinskiy, N.V.
TITLE: Reflected and Direct Waves Occurring at~the Plane Boundaxy
of Division Between Two Elastic Media. I ; (Otraz hennyye ' i,
golovnyp volnyp voznikayushchiye na ploskoy granitse
razd6lu dvukh uprugikh sred. II)
PERIODICAL: Izvestiya Akademii Nauk SSSR, Seriya Qeofizicheskayaf
195BY Nr 1, pp.3-16 (USSR).
ABSTRACT: The problem was investigated in Ref A)of the reflection
and the refraction of sphbrical waves at~a plane boundary
between two elastic half-spaces. The solution of this pro-
blem was derived by the method of functionally~ invariant ~
solutionsp and the possibility of approximately describing
~he reflected wave PP in the region of incidence was
indicated. In the present paper the author considers the
approximate description of the reflected wave, PS and the
direct waves in the region of incidence. . The statement of
the problemg the choice of a frame of reference and them
choice of symbols are as in Ref.(J). It'is assumed that
at a distance, z0 from the plane boundary division
there consists a point source of disturbance emitting a
sphericalf longitudinal wave. The source strength is
Card /,,given by:
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
1p0 (r, Z, t) - a, (alt - Ro) when alt > no
0 when alt 110 (Eq~'.I)
The velocities of propagation of the waves in the two half-
spaces are assumed to satisfy the inequality
b a b
/, a
(Sq. 1,
2
2
Under these conditions there are two refleot'~ d waves PP
and PS , two refracted waves PPI and PSI , and five
direct waves PPP, PPSF Put PSSI PPSi, The radial
and axial components of the disturbance specified by the
wave PS are expressed by the formulae (Ref'.1):
Card 2/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media'. II.
2 Tr
b Cos wdto
qs Re B
1r
0
A
a2 dto
(Eq.2')
wS Re B
IT
0
VT
Here A is a function of r, z, t, w, defined by
Card 3/11
49-1-1/16-';
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
l~-
t r Cos 1 z
7
;2-
2
-V'bl
is the coefficient of reflection of the reflected
tran.sverse wave (Ref'.1). Anew variable is introduced by
the relation
I - b 2,U%, 2
In terms of the new variable Eq*. (3) take.s the form
b t r /1 S2 Cos w zS aOVS2 0
Card 4/11
49-1-1/16
Reflected and Direct Waves Occurring at tile Flane Boundary of
Division Between Two Elastic Media. II.
where b2
2
T
a
The integral expressions (Eq'.2.) are transfo=ed to
Re
I(bly- YS-1 '--r I VY1- rim 4)
ts
Card 5/11
S
Res
-VI ST sin Q
9
-Reflected and Direct Waves Occurring at- the Plane Boundaxy of
Division tetween Two Elastic Media'. II.
B(s) denotes the coefficient of refLea'tion'of the trans-
verse wave regarded as a function of the new variable s,.
The path of integration obtained by transforming the I
straight line segment (0170 in the plane w is denoted
by Is In order to clarify the characteristic properties
of the line 1 . and the possibility of transforming the
path of integrationt it is necessary to study the trans-'
formation of the plane of the complex variable s des-
cribed by the function
b t za - a0
W Cos
It is proved that the equation dW/ds 0 has a s ingle
root wbich-lies on the real axis to the right of the
point y . The zeros of dW/ds lying in the finite part
of the plane are given by
Card 6/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.,
z + Z. (1 y2 b ts, 0 q
71 0 W,0)
VS-F T
By considering the change in argW1 round a closed
contour in which W, (s) is regular, it is seen that
there is one real root'. If W, (1) -c-' 0 , then the root
lies in the interval (y, 1) '. The author considers t he
contour 1 under the supposition that the above in-
s
equality holds, and derives:
Card 7/11
Reflected and Direct Waves Oc=-ring at the Plane.Boundary of
Division Between Two Elastic Media'. II.
(z.s +-zYs'- Y' - 6,t)s*L S
7rb Ir Re (S)
(Sq-0 21 1
0-1 ReSS(S) -S9S ds
S Irb,
1-S (SM S - 9 1 J -(SL - 5)
in which s1 and s 2 are the images of t~e points
W= +1 and W = -1 and x(s) is a holomorphic
function which does not vanishin the plane in 'which there
is a out between the po ints S, and s 2 The problems
Card 8/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
now arises of obtaining from Eqs.(211),'asymptotic expres.s-
ions describing the field of disturbance in the region of
incidence of wave PS. The required expressions are:
a1 R(cos m) sin a cos2 M
qs b f, (6n)
R
al B(cos m) cos a sin2 a
w fs (A n)
R
0V
where R is given by
z sin P~cos M
R (Eq-141
V sin Cos 0
and cos s0 and 8 0 is the value of s at the
vertex of the wave front? and f(s) is~given by:
Card 9/11
49-1-1/16
Reflected and Direct Waves Occurring at the Plane Boundary of
.Division Between Two Elastic Media. If.
f (S) M r2 (3. - r,2) sin:20 = X
2 (s) (s - s (Eq'.13)
The author goes on to study the direct waves, and obtains
from Eq'. (21 1
a 1 sin?- P., (cos 021)5/2
S, 2b Ilio L3 42 f (An) (E62V
sinF P,
and (cos g~21)3/2
W, B 21,
s 2b 10 -Ve-,t 372- f (A.n) (Eq.22'.t)
1
where B10 is the coefficient of the direct wave PPSO
Card 10/11
'Reflected and Direct Waves Occurring at the Plane Boundary of
Division Between Two Elastic Media. II.
COs r s in 0
T2 l 2it bit ZY21 7-01R21 T2 2
rL dr sin m + dz cos r Cos a - (I+ z 0 s in., a
There are 10 figures and 2 Slavic references.
ASSOCIATION: Ac~'. of Sciences USSR, Institute of;Earth, Physics
(Ake.demiya naut SSSRj Institut fiziki Zemli)
SUBMITTED: September 27, 1957.
AVAILABLE: Library of Congress.
Car
C) L' I "V S K //Y /V
AUTHOR: Zvolinskdy, N. V.
TITLE: Reflected and Direct Waves 0'.'CurlAnf~ -'wt the Pland
Boundary Between Two Elastic Metila. III.
(Crtrazheraiyye i Solovnyje volny,' VOW(iikayasht~hl7q'
na ploskoy granitse razdela dvuldi upr%t,--Jk1i s:ved. 111.)
oe,pj? Geafizicheska~,,a.
PMLIODICAL: Izvestiya Akademii JTauk
1958, 1fr. 21 pp. 165-174. tu's4'-
ABSTI-UCT: In Refs. 1 and 2 were discussed refliact-ed and:di3~ect
waves occurrinG on a bac.1%,round
Of such a character aTe the waves PPP. and
PPS, and also the reflected vva-~os PIJ and PC) i-n
ree,ions up. to the criti--~al ane;J e13eyond the, critical
ant,le the nature of the refle(-~ttllid X'Mve e,~hanges markedly.
A similar chan,6e takes place in.t1ie waves PSP and
PSS by comparison virith 111-T zinl PPS r--spectivejy.
This raises a number of questiciv~ which are discu'ps-od
in the present paper. In sttid-tring tbo~ field of
Card 1/7 PSP and PSS we .91mll define 'a':.nly t;hose components
Reflected and Direct 'Waves Occu.r,M*nG --Lt the -Boundary
Two Elastic T.Aedia III
of the field which an di.sconrinuouF,~at the front::.
In order to study the wave PSP~i i t, is. necesoa~ry o
return to the represen.Aatio,a of t he
reflected lon(,;itudinal warve which vizira
Eqs.16 of Ref.l. The auttlor tkl~ln goes to. t...Ier~tvo
closed fomulao for the daiucitin 1,s,,, nai6rabotixbood ~,,r
the front of the %tave PSP f.)r the ifher,
incident wave has the form of ~a ~s*'-,epfl If tW11
has arbitrary fora, then the rssii-U be
by the method of aupe rpo sit, ior,, vith addill-Jonial
condition that the displac-emon't',ii. on the ini*AidenLt:
wave are non-zexc~ only for a
neiGhbourhood of the:fi!ont, V1, a tMl
investigated in a similar mannov~, and. the trani3itlora
-to an arbitrary wa-im-form, is made, in tile same AV,
ay
as for the wave ~SP. Ta Section 5 of Ref and
Section 2 of Ref.2 weze given e-xPresaions fo-.c thit,
-,hl
displacement fields in tho ne'j-& poi,rhoods of
fronts of the imaves PP and Pro' ior thr;r-e part-s of
Card 2/7 the front, which are situated beb-14,na. tile initla~', t,()Urcl:~,
Refloc t ed and Dixe ct *Waves Occurring, the T" 1-ane -Bounda Be: t~,-e ea
Two Blastic 1,1,e d ia . I I I
of the direct waves. For othor'Tartz of the txcnts
which appear on the backoround ahoad of the direct
waves the character of the disph:icemeiat field IMOI I'aln-
additional component. This commorLen'; is si-atlar to
that which appears in the rofle(~7tion of a pland %,E-
beyond -the critical angle. Thio situatrion can ,-.,c r
in four different forms: the ivla've PP, can DO
oI--,(,rved aj~ainst the backGroiuid of the, direct vrav-,;-:
PPP or the dimet vrave PSP; the reflected:1,1a.Vn
can be obser,,red aGainst the backgr-our-A Lof P-PS
PSS Avoidinr,~ sunerfluous
-these cases need be discussed in de t;ail; fov e.-!~3 a-ale
Une ca2e of tne zave PP ap "D or PPI-7 ~ :~,
�Or
the other cases only the final re, Sults are nM_V*eV_.
U .
The general expression for displ8l.e"ORIE"Alts in the
reflected lonsitudiral 1'ra-ve was, ~;iven' by formula 16
o-'L.' Ref.2. in the three: bases for %,.rhich re.,mlts a.,,re
C'ard mey-~'.- auoted,. the form-ulae~ apply Wlhon the -.,,ave I has
Reflected and Diroct 'JaveB Occurring, at he Plane 11 o--,xudar 'Y
~Mo 'ilastic Media. III.
the form ofa step. The a~ithoZ noter, errorO
which haw been noti,~ed in his pvF-1VjC~-,jC, nkra,
In Re f in -the denominators i n -161he fo---mulae an
-p./4-8 the index 31/4, should be roplalced 'by 7, 21~
This orrov affects some of 't"he at the.
end of the paper. In "lie formulae foi, q,, and w.
on p.47 a loSarithmic term has been OrAtted" Ial Rcf.
4 an e--nplicit e-.m_ression for the reflected. T."'alre
appearinG after a direcF, wave nct deduced, ar-A this
led to an incorrect interprot-ti,c~'r"
4,
reflection coefficientiE;
the. end' of Section -2, on p.~q 7.
k~ - -A- A
and on P.45 at the end of Seation 5)~~ In hii~
conclusions to the three papers tlie w.-ttlior st,,~,teljz,
1. -[results of Refs. I and 2 and the present pa-;per
ma,!-.e it possible to derive formalae from
ceneral intega-Lil reprermntatiowq) whiC,11. arena Ai-alid in
the nei,,:-hbourhoods of the fronts of the separate waves.
Card 4/7 These foriailae are sufficiently s.-laple for
-3/2-8
49-53-~2 !
L4 r nF "u- t-hc, 1:;Iano T 2etneen
he-flect-ed and j'aves acc,-,,,.' a
'
-10 Blas
21 tic Ve(~; 0'. 111
t po--7~ iibl-a solve the
quescion of the foorin, o. fti'--,e m`- the. in-
ten;3-.*Lty o-.1'" the matc I V!;, S li~hose formulae are
Li'Lentical i,ith -,-hoso obt:Anod by =U-1102~s
-1010.
to in the introd-,.,.c-~U-ion o, first aa~fj-
U.
2. In -'-'Yl .:~S' behind th-e
first soin?ce of Wic- dlirect .,I-ave, tli~;Ifoa:-u of the
U
oscillations remains, Iihe scmo :~.,s in t-he inci6e~,t
Wave The form. and ,uniplitude; 'froil
lormalae 25 of Ref.1, and D-jr'
111. -ect vroves P111, mil FT31 th-,, form of
In "Ghe UiL It
the oscillat-ions is obtained b-Ir fitactions
describin~G the foism of the -~r-ve. 1"orL-alae
for calculatin(~, the fi(-,,ld of the~--,e vmv-3-s deduced
in Ref.2.
4. In the reflected t.-aves PF P3 ahebA of - the
source of the first di-rect -.,ave th-:~- foim of'the
oscillations changes. '-ilo the eou-
t-1 L)onent v.-hi ch
Card 3/7 duplicates the oscillations in the incident wave is
49-58-2-3/18
R,e-Clected and-:-Virect -.V,,_',.ves Occ-arri,1_2; Lit thel Plane Boundary, B etm e e n
o 31,q st ic Eedia. III.
a dl d e d -a t e r Ta which has a form em"IjuGate t-o the o mr, i
of the incident wave. Calculat-.on of the field is
carriea out from formulao 'In) to (12) off the present
pap e r
5. The oscillationn in tho OLiracu "'iaves FSP i, and
S also consist of t-,-io components. The fitst
duplicates the form of the vv,71.v.,C PF2 and FSP, h e
second has a conjugate form. Calculation of'a
field is carried out -fox-mulv%e (4); (41) 6~.nd:'(G)
of the present paper.
6. The intensity of the o-ricillations (amplitiade')
of the separate waves '.Lepenas not only on their type
_; -md1tho --maplitude: of ~ the
the pro-portuies of the rnidir.
incic"Lonit wave, biit also on IJU-IjA. .o mul This shov-1-s that
re,mlr,~IinG the arqj)lituJ,.) ol" a viave as a (:Ilyni~~[..A6 P.':'o-_ICrtY
in the interpretation c-it seisr1olo,,,;ica,1 obse.-.,WLt ions, it
is necesoai-j to talze into account -the -forn of.the
incident wave. ~,Ihoa!e ,,'xo 2 fij~.,mror'j ond 11. U~isoiZ.ii
referunces.
Mart
Reflected and Direct Waves OccurrinE4 at the Planei ounrlau7
B .1, Be-aeen.
Two Elastic Media. III
ASSOCIATION: Academy of Sciences USSR, Institute of Earth, Yhypics
(Akademiya nauk SSSR, Institut f'7zilci Zenll)
SUBIMTED: September 2?, 195?-
AVAIIABLE: Library of Congress.
Card
VSTCHINKIN, Vladimir Petrovich;,.,gTOLINSKIY, N.Y,, otv,red,;.POLYAKHOT,
N.Y., otv.red.; SHAPOVAIA'h',
takhn#red.-
[Selected works] Isbrannya trady. Moskva, lid-vo Akad.nauk
SSSR. Tol.2. (Borew propellerso' Strength of:airplanaej
Grebaye vinty. Prochnosto samAeta. 1959. 431 p. (KIRA 1217)
(Propellers, Aerial) (Airplanes--.Design aid construction):
Al
13
Al
I
list
lot
21
- 1 t
'80 Ali~t
-lid j g
16-7300 77989
AUTHOR: Zvolinskly, N. V. (Moscow)
TITLE.- Propagation of an Elastic Wave Due toa Spherical Ground
Explosion
PERIODICAL: Prlkladnaya matemattka I mekhanika 196o, Vol Nr 1,
pp 126-133 (USSR)
ABSTRACT: This article extenda some reaults for~rigldly plastic
material (6btained by the authorl~jointly with A~. Yu.
Ishlinskly and I. Z. Stepanenko:(DAN~',1954, Vol 95'?
Nr 11)) to material which Is elastic-plastic. He :
considers the adiabatic propagation o;f a s0heri cal wave
due to a blasting charge occupying a spherIcal:cav,ity
(the wave process Inside the cavity ls'.not considered).
Several assumptions are made which thbauthor notes are
subject to empirical verification. Ftrat. the~wovk of
plastic deformation Increases with In:-1veasIng mean, stress
0-, and in passing from one state to a neighb6rin'g
state, the change In'work Is g Ive nby:
Card 1/5
Propagation of an Elastic Wave Due to a ;7798
Spherical f
tround Explosion SOVII? -17/28
&A - ~m(o)j&(JdV
In writing this down,,the change in elomental wo19C Ls
assumed to be proportional to the''maxl6wn shear 0 ' )
W Ith the p roport tonal ity f ac tor m(, Cr Cr/2 + 2Y_ /3
and mt > 0. Secondly, the medium can.exist In only
two s ,ates: an initial elastic st ate and a packed
incompressible state, the passage,from,the ftrst.to~
the second occurring instantaneously. :,This model is
a special case of one,proposed by".S. S.. Grigorya,n
(DAN, 1959, Vol 1211 '1 Nr 2) and is'I;similar to models
used by Ishlinskiy (Uk~. matem. zhiurnal, 1954, Vol
Nr 4) and A. Kompaneyets.(DAN,- 1966, Vol 109., Nr.1).
When the initial stress Is largeenougti, the ground:
becomes packed In the neighborhood of the cavity, and
this packing continues to spread.' A derivation of the
equations and boundary conditlons:ts then given per-
tinent to four stages which are characterized by:
Card 2/5 (a) a shock due to the packing of the ground which
1011 of' an W;lv(! Due 116, ,1
Sphet.l.cmi (Wound Explosioll sov/)l o - ~?)l - I -
B
-,r)V0,Ud!J Vel.AlVe LO t;)K' Lill, I Ui 1; u vba~d me o 1. 11m; (1)) an clazi-
tic, wave propalratIng volul,Jve to the uqdABtuvbed mfudlum;
1,he packed zone fallowtngr~ after I V~ the: 8hockrt, 66t
cevve.9 ai a boundavy, and the padt ILng of,the gvound
continues; (c) an elastic wave [a prop;.igating; Wie
packed zone follows after, it With !;vcon Itact discOn-
t1M11ty M'I a boundavy; the plmjtli~ V.1ow continuesh 'ut
U d d I
-t1Qt],R1 J!J-00tld PaCICII-Itf, dOeO Hot OCCUP (d) the
s Loppag ,e o V L he packed :7.one; the b;ick 1front or the
ela."'tic wave brealm off, and the w, 'ive goeti off to inri-nity.
Ener,gy canaldevatlano lead t1o a con(MA011 relating the
vadial stresj and: the vemal-nIng, st'vensin component
cr
(Ta 3
0
ThIs Ls imed In connect,ion wLt;ii tho. equatlon of motibn
and the condItion to abtal.n expresl3lons
for- Cr In th(~ fll-St 11wee Inval."flng, cevtbln~
a rh 1. t va I orl.-. f-, it) t o an 'At
Aic unknoW6 l'unt:tIono v (t) a wl
1-TopagatIon of' an Elastic Wave Due to:a 77989
Spher-l-cal. GL-Ound Explo-3 Ion -24 - 1-17/2,8
"ov/11o
Vor the uphericai cavity and nhoelc wave. :In
eacli case It Is shown how .the bour)(hiry i.,ondillona' on,
the shock and moving v~.ivlty, ao well a.,31: tabllit'k, In',
the fir-st stage and i , -implIfyIng Imoumption in the
secont-.1 stage, i,eduec the pr-oblem to,detet-ml-ning on Ly
the f,unctioll 1, (t). in -Aag
-,(3 (a), a rl~i-.It-omler
linear. dIfTeveriblal equation 1'01:- "01, (1 v
a depende"I.- V, and z ;~4 v-
I, I ab I a-,3-1 11, lepen (jell t
variable lo coru~itvuuted, Thl,-i r~-qOO;Iuw .511owu f, 11. ra t,
the oliockf'r-ottt speed deeve,:uies andilappmwAiet, ze t-o j
I . e .,the !'Lv3t Btag
_,e cannot contlt,~ue Inderinitely.
When the spoed of' the shock becomoli equal arid sniallev
th,Jn 30LInd SpeCd 111 bil(~ till d IS f 111CI(J-11API, an ellp- Otic
Wave avlse.; and the oecond st;q,le b0sgln;3~. In ,,tag,e
(1)), a nonlinear, I'li-st-ot-det, (II[Terent-fill equatioln Ii)
obtained f'ot- the ol,mw vavlabler; A111(.1 z, whicli ag*uLni
t;lIe ,pe(.!(1I of' J,I)(,, t1joi-!j~ (I r. Zd 1, 111 o I -I o t or un Iy
Propagation of an Elastic Wave Due to a 77989'
Spherical Ground Explosion SOV/40-24-1-17/28
decreases to zero. However, the law or conservation
of mass shows that at a certain Instant, the shock
i! continues.
ceases to exist, though the motLo)
this third stage, the author introdLlCeBa contact d 'is-
continuity separating the packed veglon and elastic~wave
and suitable boundary'conditions on it:, Again
an
.
equatiop for the above variables Is obtained which shows
3/dt)2
z (dr vanishes at a certain value. This
corresponds to the end of the flow of the plastic
layer and the start of the fourth~stage, This stage
can be handled by known methods.::A, A~. Git-b and S. S.
Grigcryan assisted in the preparation of the paper. There
are 3 figures; and 6 Soviet references~.
SUBMITTED: October 12, 1959
Card 5/5 i
L-38709-66 an(l). GD
ACC NRt AT6016916 0) SOURCE CODE: UP./60a,/65/000/000/0432/0443
AUTHOR: Zvolinskiy, N. V Flitman, L. M.; Kostrov, B.
L.;:Afanaslyev, V. At
ORG: Institute of P~jsics of the Earth, AN SSG;R,.Moscow (Institut fiziki Zemli AN
SSSR); Institute of Proble LAf Sciences, SSSR,(Instittit problem
mekhaniki Akademii nauk SSSR)
TITLE: Some problems in the diffraction of elastic waves
SOURCE: International Symposium on Applications of the Theog of Functions of Con-
tinuum Mechanics. Tiflis. 1963. Prilozheniya orii funktaiy v-i-ekhanike sploshnoy
sredy. t. 1: Mekhanika tverdogo tela (Applications of the theory of functions In con-
tinuun mechanics. v. 1: Mechanics of solids); trudy simpoziuma. Moscow, Izd-vo Nauka,
1965, 432-443
TOPIC TAGS: elasticity theory, partial differential equation, integral equation',
boundary value problem, approximate solution
ABSTRACT: Three problems are studied., (1) That of waves fomed in an elastic medium
as a result of momentary disturbance of the continuum along an infinitely long plane
strip of finite width. The dynamic equations of elasticity theory are solved under
boundary value conditions corresponding to time with initial conditions zero. thi "
problem is shown to be reducible to the Wiener-Hopf problem; (2) The problem of Iootion
under the action of a plane wave of a solid infinite strip in an elastic space. ~ This E
Card l/ 2
L 38709-66
ACC NRs AT6016916
problem is a generalization of the problem of diffraction ~f a plane elastic wave on
a screen in the form of a strip. Parameters of motion of the strip are defined;to sa-
tisfy the equations of motion; (3) The problem of the "transparent prism": two elas-
tic (acoustic) media separated by an angular boundary. An effective method is pre-
sented for computing the field diffraction for this problem. The authors thank! G. F.
Manqftyidze for valuable consultation. Orig. art. bas: .,4i fomulas, 3 figures.
SUB CODE: 20,12/ SUBM DATE: 13Aug65/ ORIG REF:: ~010/ OTH REF!s 0.02
Card 2/2 f~~
Tial
1LU1, A-":
VIZ.
1011 sit:
AVMORSt Zvolinskiyo N. V. (MUSCOW) Rykov, G, V. (Moscoll)
!TITLE: Reflection of a planar plastic wave and its rei'rmation at the bouxtdA17
two half spaces I
SOURCE: Prikladnaya matematika I atekhanika, v- 29o no- 41 1965p 672-660
.TOPIC TAGSi vibration, shook wave propagationt shook wmv4ii diffraction, shock WiLve
reflection, plastic deformation, elastic deformation
~ABSTRA.M The action of a plant[r plastic wave striking In a normml direotion Upon
the boundary of two claeto-plastic half-Races io studied. It 0 assumed WuLt the
initial portion of a compression diagTan (see Tie. 1 on We Encloaure) correaponding
to elastic deformation is a straight line (OC in Fig. 1) partiom of a monot(micia
increasing curve. In all, six asses of the qualitative natirre (elastic or plmsti~a
of the three waves (incident, reflected, and. refracted) mre poenible. The current
study deals w-ith two cases: 1) all three wares are plastic, andl 2) the incident and
reflected waves are plastic, wid the refracted wave Is elamtic., Yhd atudy Ls for
the puxWse of obtaining quantitative deocriptione of tho waves, md also to
Idetermino th~ conditions causfiM, special canes. Lagranglan aoca4imstes are uae4l as
expressed in the equation
I x(h,t) - h + U(htt)
t Card t4
iA
:.-,-L 041-66
1 561bN Re AP50213(3:i
;where u is displacement, and x is an Euler coordinate. Stresses and straixis are
related by the equations
oil
W 0 W
41
z (h'. Q + Z. 9) - rf me (1)
6 01
+
where P0 is initial density, and- P is the density boyand the front of the iaoiden~
wave (p e- P.). Additional equations are given describing the nature of the shock
fronts leading to an equation for the shock front in. Lograulgian aoordinatea. Elach
of the th-ree wwre typee ia desaribed mathematically in raLa,ti= tm stress,, strain,
and propagation apeed in the coordinates defined~ Reflection and. refraction
coefficients 3.re developed. The methods derived azg applied to certain special
casea. -1--lig. airt. hajr*k 3' eqA;Ltiaue and 2 figuxes.
Z~ E
HPI
ASSOCIAT1091 none
$OMITTED t 15DeC64 ERCLc 01 sm:cbwt~ Hsi:
NO REF SOVt 002 MSMI 000
ad 2/3
14041-66
LCCESSIOIT NR A.P5021302
Entosm, 01
Fig* I
ZVOLINSKIYA_N.V. (Moskva)
Wave problems in the theory of elasticity ota continuous medium.
Izv, AN SSSR. Mekh. no.1.109-12) ja-F 165.
ZVOLINSKIY, NJ,_; RYKoV, G.V.
Reflection and refraction of plancs plaotle silras. Dokl. AN SSSi~ 16Z
no.5s1041-1043 Ap 1650 (NIRA 181-5)
1. Institut fiziki Zemli im. O.Yu.Shmidta AN SSSR. Submitted
November 11, 1964*
GRIGORYAN, S.S.; GRIB, A.A.; KAC,HANOV, L-PI4.; PETWSHEN) G.I.
E.I.Shemiakin's axiticlo "Expansion of a gas cavit on a nonecimproi.asible
elastoplastic medium; study of the action of'an explosion oalthe;~
groundO and N.S.Medyedeva and E.I.Shemiakin's art;icle Oftrain waves
caused by underground explosion in rocks. , ImAM SSSR.Otd.tekh.:na4k.
Makh.i. mashinostr. no-5:173-177 S-0 162. . (K~4 15:10)
(Explosions) (Shemiakin, B.I.) (Madiedva, U.S.)
1,w;-n 3",-,27 la
L 11
he a-u t-. or s J[ c',- r '-~c 7" L)i
a- t - :m
I -L-! L 1 :1:. 11:1 i, I L~~! -1:
1(1,:c, /ri:3 i'027,~noL/ojj/027
),ast-;C
0~ Ll
c -f
T
1+1 4t
17f
T%e re I cc t ion of a 7)'- a!3 t- c wxrc D
a finite interval -
,V~t
0- titlc,
cr
.,
zero. ~ 1-10 C~jre o f reflecf,-4,0~1 ~1-!
C -'13
Ile 1. -u -,IC- (I
"Arc
u It
-Iv
3 C~ctooer 24, 19 6 2
C-ard 3/3
Printer-friendly version