Nonlinear effects during the tension, bend, and torsion of elastic bodies with distributed dislocations

被引：7

作者：

Zelenina, A. A. ^{[1
]}

Zubov, L. M. ^{[1
]}

机构：

[1] South Fed Univ, Rostov Na Donu 344006, Russia

来源：

DOKLADY PHYSICS | 2013年 / 58卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

11;

D O I：

10.1134/S1028335813080089

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A series of exact solutions of the problems on large deformations of three-dimensional nonlinearly elastic bodies with distributed dislocations is found. The tension-compression of the prismatic bodies with the distributed straight-linear screw dislocations is investigated. The influence of the distributed screw dislo- cations of the radial direction of the torsion and extension of the circular cylinders under large deformations is investigated. The problem on the strong bend of the rectangular bar containing distributed edge dislocations is solved. It is established that nonuniform rotation fields can occur at zero stresses in a body with continu- ously distributed dislocations.

引用

页码：354 / 357

页数：4

共 11 条

[1]

[Anonymous], 1997, Nonlinear theory of dislocations and disclinations in elastic bodies

[2] CONTINUOUS DISTRIBUTIONS OF DISLOCATIONS - A NEW APPLICATION OF THE METHODS OF NON-RIEMANNIAN GEOMETRY [J].

BILBY, BA ;

BULLOUGH, R ;

SMITH, E .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 231 (1185) :263-273

[3] Disclinations in nonlinear elasticity [J].

Derezin, Svyatoslav V. ;

Zubov, Leonid M. .

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2011, 91 (06) :433-442

[4]

Kondo K., 1952, P 2 JAP NAT C APPL M, P41

[5]

KRONER E, 1960, ARCH RATION MECH AN, V4, P273

[6]

Lur'e A.I., 1980, NONLINEAR ELASTICITY

[7] SOME GEOMETRICAL RELATIONS IN DISLOCATED CRYSTALS [J].

NYE, JF .

ACTA METALLURGICA, 1953, 1 (02) :153-162

[8]

Vakulenko AA., 1991, SER MEKH DEFORM TVER, V22, P3

[9] Riemann-Cartan Geometry of Nonlinear Dislocation Mechanics [J].

Yavari, Arash ;

Goriely, Alain .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2012, 205 (01) :59-118

[10]

Zelenina A. A., 2000, PRIKL MAT MEKH, V64

← 1 2 →