A model of elastoplastic bodies with continuously distributed dislocations

被引:82
作者
Le, KC
Stumpf, H
机构
[1] Lehrst. für Allgemeine Mechanik, Ruhr-Universität Bochum
关键词
D O I
10.1016/S0749-6419(96)00022-8
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The kinematics of elastoplastic bodies at finite strain based on the multiplicative decomposition of the deformation gradient is developed taking into account the motion of continuously distributed dislocations. In comparison with the macro-theories of finite elastoplasticity additional degrees of freedom are introduced through Cartan's torsion having the physical meaning of the dislocation density. The set of balance equations has to be enlarged to account also for the internal motion of dislocations. Constitutive equations for such bodies are proposed inconsistency with the entropy production inequality. Copyright (C) 1996 Elsevier Science Ltd
引用
收藏
页码:611 / 627
页数:17
相关论文
共 20 条
[1]   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
[2]  
BILBY BA, 1957, ACT 9 C INT MEC APPL, P35
[3]   THE ENERGY-MOMENTUM TENSOR AND MATERIAL UNIFORMITY IN FINITE ELASTICITY [J].
EPSTEIN, M ;
MAUGIN, GA .
ACTA MECHANICA, 1990, 83 (3-4) :127-133
[5]  
KRONER E, 1960, ARCH RATION MECH AN, V4, P273
[6]  
Kroner E., 1992, GAMM MITTEILUNGEN, V15, P104
[7]  
KRONER E, 1958, ERGEBNISSE ANGEWANDT, V5
[8]   Nonlinear continuum theory of dislocations [J].
Le, KC ;
Stumpf, H .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1996, 34 (03) :339-358
[9]   On the determination of the crystal reference in nonlinear continuum theory of dislocations [J].
Le, KC ;
Stumpf, H .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1945) :359-371
[10]   CONSTITUTIVE-EQUATIONS FOR ELASTOPLASTIC BODIES AT FINITE STRAIN - THERMODYNAMIC IMPLEMENTATION [J].
LE, KC ;
STUMPF, H .
ACTA MECHANICA, 1993, 100 (3-4) :155-170