SCIENTIFIC ABSTRACT LEONOV, M.YA. - LEONOV, N.

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• Collection: Scientific Abstracts
• Document Number (FOIA) /ESDN (CREST): CIA-RDP86-00513R000929230003-3
• Release Decision: RIF
• Original Classification: S
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• Document Creation Date: November 2, 2016
• Document Release Date: July 12, 2001
• Sequence Number: 3
• Publication Date: December 31, 1967
• Content Type: SCIENTIFIC ABSTRACT

LE01107. M.Ya.; ROXAhU, O.G.
A shaft of double ripidity Dassing thrav-,h resonnace, liuzh.zan.
1MA AN URSR. Ser.mashinoved. 6 no.5:5-15 '57. (,'4!aA 10:7)
(Sbnftn and shaftinp) (Resonnuce)

SOV/124-58-3-3156
Translation from, Referativnyy zhurnal, Mekhanika, 1958, Nr 3, p 88 (USSR)
AUTHOR: Leonov, M. Ya.
%. -- - -----------
TITLE: -TE~r--ocluction into the Elementary Theory of Torsion (Vvedeniye
v elementarnuyu teoriyu krucheniya)
PERIODICAL: Nauchn, zap. In-ta mashinoved. i avtomatiki. AN UkrSSR,
1957, Vol 6, pp 109-119
ABSTRACT: The paper presents an approximated solution of the problem
of free torsion of elastic rods of a uniform continuous section.
The author discusses an rorthogonal network of stress contours
and of the lines normal to them which intersect at a point taken
as the center of the torsion, The total tangential stress at any
point of the section is determined by the formula
T= 2G 0 a-
an
Here G is the shear modulus; 0 is the relative angle of twist;
aw is the area of the curvilinear triangle formed by two normal
lines and segment an of the stress contour passing through the
Card 1/2 given point. For the determination of the position of the

SOV/124-58-3-3156
Introduction Into the Elementary Theory of Torsion
intersection point. the author uses a theorem according to which the tangential
stress flow through any normal line going from the intersection point to the
outer body contour is of a constant value wHch does not depend upon the selec-
tion of the particular normal line. The results obtained permit the determina-
tion of the stress at points of the normal lines the position of which is known,
Values are given for the stresses on the axes of symmetry of sections having
the form of an incomplete circular ring, a semicircle, a regular pblygon, and
a rectangle. The accuracy of the results depends upon proper selection of a
normal line close to an axis of symmetry. Two principles of "locality" are
expressed, with the help of which, once a solution is had for a torsion prob-
lem for a given rod, it is sometimes possible to determine the stresses in
another rod.
K. V. Solyanik-Krassa
Card 2/2

SOV/1 24-58 -4 --442Z
Translation from: Referativnyy zhurnal, Mekhanika, 1958, Nr 4, p 104 (USSR)
AUTHORS: Leonov, M. Ya. , Bura.k, Ya. 1.
TITLE: A Rod Having a Constant-torsional- strength Distribution of
Gros's -sectional Contours (Sterzhen! s ravnoprochnym konturom
poperechnogo secheniya pri kruchenii)
PERIODICAL: Nauchn. zap. In-ta mashinoved. i avtomatiki. AN UkrSSR,
1957, Vol 6, pp 120-IZ5
ABSTRACT: The authors are attempting to find the forms of cross sections
of rods possessing the quality of constant stresses on the contour
during free torsion. They base their conclusions upon the elem-
entary theory of torsion (see Nauchn. zap. In-ta machinoved. i
avtomatiki AN UkrSSR, 1956, Vol 5, pp 41-45; RZhMekh, 1957,
Nr 4, abstract 4596; Nauchn. zap. In-ta machinoved. i avt(-rnatiki
AN Ukr SSR, 1957, Vol 6, pp 109-119). They present a graphic
and analytical solution of the formulated problem assuming that
the cross section of the rod has an axis of symmetry and that
the normals to the lines of the stresses on the segment of the
contour up to their intersection with the axis of symmetry are
Card I/Z straight lines perpendicular to the circumference of the cross

SOV/124--58-4-4422
A Rod Having a Constant- tar s ional- strength Distribution (cont, )
section, and that they coincide from there on with the axis of symmetry.
Formulae are presented for the determination of the tangential stresses
within the cross section of the form obtained. The assumed nature of the
normal lines has little probability.
K. V. Solyar.'k -KrasFa
1.. Rods--Torque 2. Rods--Stresses 3. Mathematics
Card 2/2

SOV/124-58-3-3341
Translation from: Referativnyy zhurnal, Melchanika, 1958, Nr 3, p 112 (USSR)
AUTHORS: Leonov, M. Ya. , Kopeykin, YLI. D.
TITLE: Stability of Centrally Compressed Thin-walled Beams (Ob
ustoychivosti tsentrallno szhatykh tonkostennykh sterzhney)
PERIODICAL: Nauchn. zap. In-ta mashinoved. i avtomatiki. AN UkrSSR,
1957, Vol 6, pp 126-129
ABSTRACT- A simplified critical load calculation for a centrally com-
pressed thin-walled open-profile beam is presented for a case
of a small discrepancy between the center of flexure and the
center of gravity of the cross-sectional area. It is assumed
that the critical load differs from the smaller value of the
Eulerian force P under flexure collapse or from the critical
force PW underytorsional collapse by a comparatively small
value*-the magnitude of which is determined by the V. Z. Vlasov
equation of critical forces [ Tonkostennyye uprugiye sterzhni
(Thinwalled Elastic Beams) Stroyizdat, 1940 ].
Card 1/1
V. F. Lukovnikov

BURAK, Yaroslav Iosifovich-,,_L=QY, K.Ya., prof., doktor fiziko-matem.
nauk. otv.red.; VBSELOVSKI~-7.-T-.-[Veselovolkyi, T.I. takhred.
[Torsion and bending of prismatic rods] Deiaki zadachi kru-
chennia ta zhynu prysmatychnykh aterzhniv. Kyiv, Vyd-vo Almd.
nauk URSR, 1939. 84 p. (MIRA 13:8)
(Elastic rods and wires)

I~RoNOV, M.Ta., prof., doktor fiz.-matem.nauk, otv.red.; LABINOVA. N.M.,
KADJMK, T.Ta. [Mazuryk, T.IA.), tekhn.red.
[Thermal stresses in thin-walled structures] Temperaturni
napruzhennia v tonkostinnykh konstruktaiiakh. "'yiv, 1959. 172 p.
(MMA 13:2)
1. Akademlia nauk URM, Kiev..Instytut mashynoznovstva i avtomatiki.
(Strains and stresses) (Elastic plates and shells)

L2011OV, 14.Ya. (LIvov): CHURAK, K.I. (L'vov)
Pressure under an approximately circular die. Prykl-nekh- 5
no.2:191-199 'r,9. (MIRk 12:9)
1. Inatitut mashinoznavatva ta avtonatiki AN URSR.
. (Dign (Metalworking))

LEONOV, M.Ta. (L'vov); PAIL&SYUK, V-V- (L'vov)
Formation of slight cracks in a solid body. Prykl- mekh. 5 no.4:391-401
159. (MIRA 13:3)
1.Institut mashinovedeniya i avtomatiki AN USSR.
(Elastic solids)

PLYRISHO, G.-igoriy Vasillyevich; IEONOVI 14,,YA., doktor fiz.-mat.nauk,
prof., otv.red.; KAZAI4Ti2T, -B.A., red.izd-va; MATVEYCHUH, A.A.,
tekhn. red.
[Nonstationary problems in heat conductivity and thermoalesticity;
supplement for calculatory elements of heat power units) Nestatsio-
narnye zadachi teploprovodnosti i tormouprugoati; s prilozheniem k
raschetu elementov teplosilovykh ustanovk. Kievy Izd-7vo Akad.nauk
USSR 1960. 103 P. (MIRA .14:12)
beat-Conduction) (Marmal stresses)

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-Itt- rm
P-mv j- Ims m7-vw- -a -a A
f-TrUft vftT A--n
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tot
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-Fft mnt t-P J. -Ij -"-"A J:c9'MN=m -S&
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I

S/179/60/000/03/036/039
E081/E441
AUTHORS: Burak, Ya.I. and Leonov, M.Ya. (Llvov)
-

TITLE: is-44~
-\0 VMACS.
Torsion of a Bar~ the Cross-Section of Which is
Bounded by Arcs of Two Intersecting Circles
PERIODICAL: Izvestiya Akademii nauk SSSR, otdeleniye tekhtlicheskikh
nauk, 'Mekhanika i mashinostroyeniye, 1960, Nr 3,
pp 181-183 (USSR)
ABSTRACT: The problem has been previously discussed by Uflyand
(Ref 1), using bi-polar coordinates. The present
solution is less general but is found in terms of
elementary functions. The Prandtl torsion function is
given by Eq (1.1), where b is a constant and ~p is
a function harmonic within the cross-section, having the
value (1.2) at the boundary and the value given by
Eq (1.3) at an arbitrary internal point Mo(ro.; Mc,)~
where r (r.5 cto; r9 a) is Green's function and n is
the internal normal. If the cross-section is bounded by
the arcs of two circles, intersecting at an angle R/m,
where m is a whole number (see figure, p 181), the
Green's function can be found as Eq (1.4) by inversion
Card 1/3 of the value of this function for a wedge-shaped region

S/179/60/000/03/036/039
Eo8l/E441
Torsion of a Bar, the Cross-Section of Which is Bounded by Arcs
of the Two Intersecting Circles
(In Eq (1.4), ~2i-29 1, denote the distance
of the point M(r,a) fr~ni the points M2i-2(r2i-2- 0'2i-,2)-,
D12i-l(r2i-1. a2i-1) respectively.)
The shear stresses are found to be a maximum at the
points B and D (Figure, p 181)~ they are given by
E'q (2.1) for m = 2 and by Eq (2.2) for m = 4
(TB and ID are the shear stresses, k = b/a, see
figure). The magnitude of these stresses for various
values of k are given in Table 1. The torsional
moment M corresponding to an angle of twist 0 is
determined by Eq (3.1) and (3.2), where G is the shear
modulus and J2 is the polar moment of inertia about the
point 02, For m = 2, the moment is obtained as
Eq (3-5); values of M calculated from Eq (3.5) are
given in Table 2 for various values of k. There are
1 figure, 2 tables and 2 Soviet references.,
ASSOCIATIONo Institut mashinavedeniya i avtomatiki,
Akademii nauk USSR (Institute of Machine Practice
Card 2/3

S/179/60/000/03/036/039
r081/E441
Torsion of a Bar, the Cross-Section of Which is Bounded by Arcs
of the Two Intersecting Circles
and Automatics, Academy of Sciences UkrSSR)
SUBMITTED: February 99 1960
Card 3/3 /C_

VITVITSKIVY, P.M. EVvtvytslkyi, P.M.]; LEONOV, M-Ya.
Dislocation with an elliptical hollow. Dop.AN URSR n0-3:
314-317 16o. (MIRA 13:7)
1. Institut masbinoved6niya i avtomatiki AN USSR. Predstavleno
akademikom AN USSR G.N.Savinym CH.M.Savinym].
(Dislocations in crystals)

84836
11.9100
AUIHORS-
Leonov, M.Ya.; Yarema, S.Ya.
S/021/60/000/006/004/019
A153/AO29
TITLE: Thermal Stress Distribution in the Shell Bulk
PERIODICAL: Dopovidi Akademiyi nauk Ukrayinslkoyi RSR, 1960, Nr. 6, PP. 751
754
TEXT: The authors give a solution of the heat conductivity equation
a 2t 1 at
__5~z_2 a (3-9
(where a is the temperature conductivity coefficient, z is the time, z is the
point coordinate in the bulk, counting from. the middle surface of the plate), for
an infinite plate at a given initial temperature distribution and the boundary
conditions linearly variable in time
t (-C, z)1Z.& - 'rl-c + t (0,a),
t (x., z) J..5 = b2~ + t (0, - &') , (2)
The solution (3) is simplified by neglecting the members that- damp during an in-
terval of several e (where 2& is the plate thickness and t (0, z.) is the given
Card 1/2 a

84836
8/021/6Q/000/OC)6/004/019
Thermal Stress Distribution in the Shell Bulk A153/AO29
temperature distribution when T = 0), and its application is extended to thin
shell-,\ in the case when the surface temperature is a given function of time and
space"loc%ordinates. The conditions for the-applicability of the resulting formu-
la 62 ( ~ 2 z -
t 6c, ZA X1., x2) = z3 + q z z s' (5)
2a ~W 36
where Z)t 0-t at
,)v I..
C)r < _j, 2q ~ orltb
(xj, x2 are curvilinear systems of coordinates on the shell surface) are indicat-
ed. On the basis of formula (5) expressions (9) are given for temperature terms
in the initial system of equations (6) of the shell theory, and the law of ther-
mal stress distribution In the shell bulk is derived. There is I Soviet refer-
ence.
ASSOCIATION. Insty-tut mashynoznavstva ta avtomatyky AN UkrSSR (Institute o
Science of Machines and Automation of the AS UkrSSR)
PRESENTIM: by H.M. Savin, Academician, AS UkrSSR
SUBMITrED: June 17, 1959
Card P_/2

BUUK, T&.I.(L'voy); ~AONOV#_ R.Ta,_~LIvov)
Torsion of a curvilinear biangulitr rod. Prykl.mekh,,
6 no.2:229-232 160. (KM 13:8)
1. Institut mashinovedenlys i avtomatiki AN USSR.
(Torsion)

SAVIN, G.11. [Savin, H.M.]; LEDITOV, M.Ya.; PODSTRIGACH, Ya.S. [Podstryhach,
IA.S.]
Possibilities for generating thermal stresses in a strained bod7
by mechanical means. Pryirl.mekh. 6 no.4:445-448 160.
(MIU 13: 11)
1. Ins titut mekhaniki AN USSR, EiVev i Institut mashinovedeniya
i avtomatiki AN USSR, Lvov.
(Taermal stresses)

LIONOV, H-Ta.
Theory of pure torsion. Naucb.zap.DIA AN URM.Ser.maBhinoved. 7
no.6:5-15 160. (MM 13:8)
(Torsion)

LRONOV, M.Ya., IVASHCHEMO, A.N.
Torsion of simple double-bound bars. ffauch.zap.IYA AN URSR. &-ar.
mashinoved 7 no.6:16-30 16o. (MM 13:8)
(Torsion)

LEONOV, M.Ya., KIT, G.S.
Tor s ion of thin-dalled bars wi th an open prof ile. Rauch - zap.
DU AN URSR. Ser.mashinoved. 7 no.6:31-43 160.
(MIRA 13:8)
(Torsion)

KIT, G. S. , LECHOV, M. Ya.
Pare torsion of a rolled angle. Nauch.zapoDfA AN URSR. Ser.
mashinoved, 7 no.6;44-51 160. (MIRA 13:8)
(Torsion)

---L4CtTGV-p M-Ya., SMTS, R.N.
Torsion of regular prisum. Nauch. zap. IM AN URSR- Ser. mashinoved.
7 no.6:52-60 160. (MM 13:8)
(Torsion)

Lt.4 Zoo V~ 27 110 -5
2
27332
S/021/61/000/002/006/0-13
D210/D303
AUTHORS: Leonovq M.Ya.9 and Panasyuk, V.V.
TITLE: Development of a crack having a circular form in
the plan
PERIODICAL: Akademiya nauk Ukrayins2koyi RSR. Dopovidiq no~ 2),
19619 165 - 168
TEXT: The authors consider a body with the crack as above. At 4n-
finitely far points of the body# tensile stresses 100 are appiied,
perpendicular to the surface of the crack. The purpose of the pa-
per is to determine the value of d., at which the body fails. The
conditions are.- a) Hooke's law is valid if the stresses are smal-
ler than d 9 b) ultramicroscopic cracks appear if no state is pos-
P
sible that would satisfy the conditions of linear theory of elas-
ticity at cf,-< op9 c) the surfaces of such cracks attrart each
Card 1/6

27332
S/021/61/000/0021/006/013
Development of a crack ... D210/D303
other with the stress V P9 if the distance between -them is not lar-
ger than 6k and they do not interact at all if that distanCle is
larger than 6 k' Por an ideally brittle (amorphous) substance
2T (i)
k - (YP
T being the surface energy of the substance; a denotes the radius
of the crack before the deformation of the body, r the polar radius
of the points situated in the plane of the crackg R the radius of
the crack after the deformation. There are normal stresses at the
surface of the crackg equal to
orz(r, 0) 0 if r zt-._ a (2)
o~ if a _- r --- R
Substracting the homogeneous stressed state IYOO one obt-ains the
auxiliary stateg vanishing at infinity and characlerized by p(r)
Card 2/6

27332
S10211611000100210061013
Development of a crack ... D210/D303
CY 00 if r a
p(r) (3)
..ofoo - O'n i f a r . R
(at the surface of the crack). Using the results of M.Ya. Leonov's
paper (Ref. 1: Prikladnaya matematika i mekhanika. 3, 65, 1939)
and specifiGally formula (38), one obtains for the normal displa-
cements w(r) of the walls of the crack
-4- rLE W(r) - V .R2 - r2 'n - I/T2
0 R + (4)
arc sin 'F
+an S Val-r2Sin2a da,
arc sin a
R
E being Young's modulus, - Poisson's coefficient. Differentiat-
Card 3/6

Development of a crack ...
ing with respect to r
2733?
S/021./61./000/002/0016/013
D210/D303
I- dm,(r)
40- v2) dr V R2.
arc sin
r sin u du (5)
S ;/a2 - r 2S-1 Aa-
arc sin
The tensile stresses in the body cannot be larger than the ul-'Uima-
te strength d p , It fol lo ws that
dw(r)
dr lr-R+O 0, _R a 2 = U.
I
Then one finds
R
Card 4/6

Development of a crack
Formula (4) becomes
27332
S/021/61/000/002/006/013
D210/D303
w(r) 4(1 - -,z) I/-a2 - r2sin2.a da~ (7)
rE
arc sin a
The points situated on opposite surfaces of the crack, separated
by distanced, larger than 6k will be called the front of failure.
The existence of the latter is determined by the condition 2w(a)
0 k' i.ea
a.,
--1
a
Vjh e r 0
an - 8(1 --v2)
(9)
Card 5/6

27332
S/021/61/00C/002/006/
013
Develop,ment of a crack
This formula is me art ing"lleEzo if aai). (9) can be written
cr~ (a ~_, 2,).
a 2a
The authors conclude fron, (111 and (6) that the strength of -the
body with circular crack is the saric as 'L,,-~at of a body v1ithout
cracks, if the radius of t--Ihe crack is not larEt~r than a If
aP the strength is determined frtni-i (11). if a -_ a. one van put
_%/1 - (a /2a) 1 - In this case one obtains Sack Is farinula. There
p
are 2 figures and 7 boviet5-bioc references.
ASSOCIATION: 1nstytut mashynoznavstva ta avtoriatyhy AN (Insti-
tute of L'achine Science anI Automation,
PRESENTED: by Academician UkrSSR, H.M. S~avin
SUB1,1ITTED: April 5, 1960
C4rd 616

28q00
S/021J61/000/003/00-* 1',013
D274/D301
AUTHORS: Leonov, M.Ya. and Shvayko, M.Yu.
TITLE: Elementary elastic-plastic deformations under
torsion
PERIODICAL: Akademiya, nauk UkrSSR. Dopovidi, no. 3, 1961, 282-
285
TEXT: It is assumed that the body follows Hooke's law and that
the displacement function w(x,y) is continuous except on the sur-
faces 'F,,,(x,y) (k 1,2,...n). The stressed state is given by
G Lw_ G 3w , (0,x = 0,Y = Oz . -~xy (2)
?IXZ, ax yz ~5y
The function w(x,y) satisfied the Laplace equation. If the contour
L is COMDosed of a finite number of segments of the y-axis, the
harmonic function w is given b~
W(X,Y) - Re [ -1 S ts)dt
2ici L J, x + iy). (5)
Card 1/19

28700
S/021/61/000/003/003/013
Elementary elastic-plastic... D274/D301
For elastic stresses one obtains
P-(s)dt
= -i S . (6)
where TXZ - ivyz 29 L t
(S) . db(s)
ds
The function ju(s) can be considered as the denijity of screw dislo-
cations along the contour L. If the point ~ approaches the point
to of the contour L (to a iy) from the left (right), one obtains
(by Sokhotslkyy-Plemells formula) from Eq. (6),
Txz (0,Y) - iTyz (� 0,Y) . a A(s)ds + i ).L(y) (7)
2jr L'Y - s - 2
If)j,(-y) - -~k(y) and L is symmetrical with respect to the x-axisg
one obtains le YZ (x,0) - 0, i.e. the plane y w 0 is stress-free. The
space can be divided by that plane without changing the stressed aK
Card 2/6

28700
S/021,/61/000/003/003/013
Elementary elastic-plastic... D274/D301
state. Elementary plastic displacements under torsion are consider-
ed. It is assumed that before the appearance of plastic deforma-
tions, the maximum stress attains its limiting value ,e at a sin-
gle point of the contour only. The depth h (see Figurem) of the
plastic displacement is considered small in comparison with the
cross-section of the body;.hence the latter is considered a half-
space. One denotes by wO (X,Y), T'z, %0z the displacement and
x Y (1)
stresses in the absence of plastic deformations, and by w (XVY),
TW,-e(l) the displacement and stresses due to plastic deformation.
xz yz
By Eq. (7),JL(y) is given.by
G h A(s) f(y), (9)
2Ft I y - sds
where
f (Y) = 'r. - Toz (0,Y) (10)
x
The general solution of Eq. (9) is
Card 3/6

28700
S/021/61/000/00_~/003/013
Elementary elastic-plastic ... D274/D301
A(Y) 2 hZ __22- f Wds + c
JCG V'h7_____y_2
s - y V hT _"7 y
For s < 0, one should understand by f(s) the mirror image of the
function re - 'ro (O,y). The constant c and the depth h are deter-
c xz
mined from the condition of boundedness of stress at the point x = 0,
y = h. The displacement and stresses in the beam after the appear-
ance of the plast`Lc displacement, are given in terms of )I(y) by
the formulae
w(x,y) = WO(X,Y) + ~L(s)arc tg s - V ds,
ZX x
h (12)
-exz - i'eyz = Peo 0 + 21L (RL ds
xz YZ 2sr s
Card 4/6

2 8 -foo
S/021/61/000/003/003/013
Elementary elastic-plastic... D274/D301
For elastic stresses one obtains
= G V(S)dt
T xz - i-eyz 2x t (6)
where L
j.k (S) . O(s)
ds
The function A(s) can be considered as the density of screw dislo-
cations along the contour L. If the point t., approaches the point
to of the contour L (to n iy) from the left right), one obtains
(by Sokhots1kyy-Plemel's formula) from Eq. (6),
1Vxz (0,Y) - iryz(� 0,Y) . G A(S)ds + i (7)
2jr L'y 2
Iflj,(-y) - -,~L(y) and L is symmetrical with respect to the x-axis,
one obtains *V YZ (x,0) z 0, i.e. the plane y a 0 is stress-free. The
space can be divided by that plane without changing. the stressed dK
Card 2/6

25156
~/021/61/000/004/008/013
Ll 00 D213/D303
AUTHORS: Leonovp M-Ya., and Onyshko, A.V.
TITLE. Influence of a linear dislocation on tensile-strength
PERIODICAL: Akademiya natilk Ukrayinslkoyi RSR.-Dopovidi, no. 4,
1961, 447 - 450
TEXT: This paper studies the effect of the removal of an atomic
half-plane from an.infinite crystalline body (linear. dislocation.)
on the ultimate strength when a uniform tension 0 is applied-at in-
finity.perpendicular to the half-plane; This is done by using a
simplified model of a brittle body. The assumptions of this model
are: a) the maximum tensile stresses do not exceed the ultimate*.*
brittle strength C ; b) the relation between,stress and strain.
n:.
obeys Hooke's law, wh&h the stress is less than d ; c) cavities
n
deyelop in the body if it is impossible to have a strained statit
which satisfies the conditions of linear elastic theory for a
:r b > equation for~_brittle'fracture is
'Card -1/3-

Macrostresses. in a s/207/63/000/001/013/028
nelasti'c.body -E200/E441
~IrZ r _3
2-
A (3.2)
where cy
0 -tensile strength, Ts shear strength and
Poisson's ratio. By equating Griffiths equation for
ultimate app'lied stress
5-L. 6
to.-.- their equation.
v
(3-10)
7r)
the authors obtain-equation for
C -4 + `7 7'
(3-12),
where, E Youngs modulus'l, T surface energy. The formulas
for -l'im-iting'',stress.es.:calcul.a-ted by.-the authors compare well with
.,those obtained by Griffiths and Saclk.~ The paper' concludes with
-Card 2/3-

S/020/6 3/148/00 3101010 37
B104/B186
AUTHORSs Leo Academician AS KirSSR, Vitvitskiy, P. M.,
Yarema, S.-Ya.
TITLEt Gliding strips occurring due to- t.her stretching of plates
having crack-like concentr4tors;,..
PERIODICAL: Akademiya nauk SSSR. Daklady,.v. 148, no. 3, 1963, 541 544
TEXT: Thiri plates (200-300 mm) made of soft sheet steel that has crack-like--
stress concentrators in a direction perpendicular to the concentrators pro-
duced by cutters are stretched. The gliding strips could be observed by eye.
Four stages of deformation were estbalished: 1) A stage of,incubation with
no plastic deformation occurring; 2) the siage,wkich is characteriptic of
the first appearance of mat spots at the ends of the cracks; 3) the stage,
which is _' characteristic of the appearance of gliding strips, 20 -.40 mm long,
that start from the end of the crack and make an angle of 47 - 54 with the
axis of the concentrators; 4) the stage, which is characteristic of the
simultaneous appearance of gliding strips at many spots combining into a
gliding band. The results of an analytic investigation of the stages using
Card 112

_4BQN,OV,. 1:Likhail.,Yako.-Irlevich; RU-ElITY0, Kcnstantin Nikola-yevich;
SHIJAYKO, Nikolay Yurlyevich3 GUROVICH, Viktor
T:-'alevich; RYAZII.', F-It., otv. red.
[Problems of atrength and elasticity] Voprogy procb-
nosti i plastichnosti. Frunze, Izd-v,.3 AN Kirg.-*SR, 19(-,/,.
81 p. (N1RA 17:8)
1. Ali Kirgizskay Frunze. lm;i.itut flziki, matemitiki
i makhaniki.

LEONOV, M.Ya. (Frunze); RUSPIKO, K.N. (Frunze)
Fracture of a body with linear dislocation. PI-,I'F- no.5:83-90
S-0 164. (MIRA 13:4)

LIFIONCIV, 14.Ya.j LIBATSKIY, L.L.
- - ------ -
Contour stra, s caused Ir L
y pire LoniiGn of slr4lc-connected rods.
Ilauch.zap.11A All URSR.Ser.mashinoved. 10~,35-50 164.
(MIRA I ll~-10)
Ntermining cont~7,ur stress caused by the torsicip. of multicormerted
rods. lbid..-51-54

1,EONOV, M.Ya.; akadrimik; IMSITIK(I,
DislocatLon theorem. DokL. "-N 34Si( 157 no.6:1321.-1324 '~ 164
ji
(!,'I?,A 17:9)
1. Institut fizikL, rputemati~i i mekhaniki AN KirgSSR i Institut
mashinov--deniya i avtomatiki All UkrSSR. 2. All UrgSS[I (for Leonov).

WAL'

ACC NR, AP6036836 SOURCE CODE: UR/0020/66/171/002/03o610309
AUTHOR: Loonov. M_ Y".(Academician AN KirgSSR); Shvaykof N~.Yu.
10RG: Institute for Physics and Mathematics, Academy of Sciences KirgSS? (Institut
fiziki i matematiki, Akademii Nauk KirgSSR)
TITIZ: C)ncerning the dependence between stresses and strains in the vicinity of the
yield pol-it of the loading cur7e
SOURCE: AN SSSR. Doklady, v. 171, no. 2, 1966, 306-309
TOPIC TAGS: elasticity theory, elastic deformation, plastic deformation, yield stress,
mechanics
ABSTRACT: The paper deals with the theory of the stress-strain relationship in the
immediate vicinity of the yield point upon two-dimensional plastic defoz7,iation. It is
~assumed that the kink of the curve occurs after monotonic loading. The treatment is
ased on the mathematical model suggested by the authors in a previous 'paper (Doldady
Akad. Nauk SSSR 159, No. 5 (1964). Under certain additional assumptions, the obtained
results can be extended to the three-dimensional case. This is done on the basis of
the isotropy postulate formulated by A. A. Illyushin in Plasticity (Piastichnost'),
blished by the Academy of Sci. SSSR, 1963, and by using the transition from vectors
E
Ito tensors. As a result, the expressions for the components of the rate of plastic
UDC:

ACC NR; AP6036836
deformation immediately behind the yield point are obtained. Crig. art. hass 2
figures and 16 equations.
SUB CODEj .2o/ smx DATEs 16wt63/ cam REFs 002

LEONOV) N.
z
Some results of fulfil-ling the yearly plan and btidget by public
health orginizations. Zdrav. Tadzh. 8 no.3:57-58 My7je '6 '
(MIRA t: 6)
I.,Nachalinik-planovo-finanso-~ogo otdela Ministerstva zd;tavookh-
raneniya Tadzhikskoy SSRI- I
(TAJIKISTAN-PUBLIC HEALTH)