Eshelby's stress tensors in finite elastoplasticity

被引:62
作者
Cleja-Tigoiu, S
Maugin, GA
机构
[1] Univ Bucharest, Fac Math, Bucharest 70109, Romania
[2] Univ Paris 06, Modelisat Mecan Lab, CNRS, URA 229, F-75252 Paris, France
关键词
D O I
10.1007/BF01170191
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This work examines critically the role that the Eshelby (energy-momentum) tensor or its degenerate form, the Mandel stress, should logically play as the driving force in an invariant formulation of the thermomechanics of finite-strain elasto-plasticity. Here the stress measure of which Mandel advocated the use in elastoplasticity, is shown to coincide, up to a sign, with the quasi-static Eshelby stress tensor expressed in the elastically released intermediate configuration. The various "constitutive" representations for the plastic rate are then discussed in terms of various thermodynamically conjugate pairs of "forces" and "velocities" for anisotropic materials.
引用
收藏
页码:231 / 249
页数:19
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