Computational issues in large strain elasto-plasticity:: an algorithm for mixed hardening and plastic spin

被引：43
作者：
Montáns, FJ [1 ]
Bathe, KJ [1 ]
机构：
[1] MIT, Dept Mech Engn, Cambridge, MA USA
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2005年 / 63卷 / 02期
关键词：
large strains; computational plasticity; plastic spin; kinematic hardening; cyclic plasticity; logarithmic strains;
D O I：
10.1002/nme.1270
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper an algorithm for large strain elasto-plasticity with isotropic hyperelasticity based on the Multiplicative decomposition is formulated. The algorithm includes a (possible) constitutive equation for the plastic spin and mixed hardening in which the principal stress and principal backstress directions are not necessarily preserved. It is shown that if the principal trial stress directions are preserved during the plastic flow (as assumed in some algorithms) a plastic spin is inadvertently introduced for the kinematic/mixed hardening case. If the formulation is performed in the principal stress space, a rotation of the backstress is inadvertently introduced as well. The consistent linearization of the algorithm is also addressed in detail. Copyright (c) 2005 John Wiley & Sons, Ltd.
引用
收藏
页码：159 / 196
页数：38
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