某些与有限弹塑性变形分解F＝FeFp有关的问题

上海大学学报(自然科学版) ›› 2009, Vol. 15 ›› Issue (1): 1-7.

• 数理化科学 • 下一篇

某些与有限弹塑性变形分解F＝F^eF^p有关的问题

孙博华，叶志明

1.南非开普半岛理工大学力学工程系，开普 7535，南非; 2.上海大学土木工程系，上海 200072

收稿日期:2008-01-03 出版日期:2009-02-21 发布日期:2009-02-21
通讯作者: 孙博华(1963~)，男，教授，博士生和博士后导师，博士，研究方向为应用力学、智能结构和微机点系统.
作者简介:孙博华(1963~)，男，教授，博士生和博士后导师，博士，研究方向为应用力学、智能结构和微机点系统.
基金资助:
洪堡基金会（AVH）资助项目

Some Remarks on the Multiplicative Decomposition F＝F^eF^pin Finite Elasto-Plasticity

1. Department of Mechanical Engineering, Cape Peninsula University of Technology, Bellville 7535, Cape Town, South Africa;
2. Department of Civil Engineering, Shanghai University, Shanghai 200072, China

Received:2008-01-03 Online:2009-02-21 Published:2009-02-21

摘要/Abstract

摘要：

在Stumpf和Badur（1990年）的研究基础上，分析了某些与弹塑性分解F＝F^eF^p有关的问题，指出使用积分解F＝F^eF^p没有机会为塑性旋率提供独立的本构方程.因为塑性旋率在使用分解F＝F^eF^p的情况下不是独立的量，它可以用应变率（弹性及塑性）以及应变（弹性及塑性）来表示.特别针对有限刚塑性变形（金属材料多属此类）作了较为详细的分析，并给出塑性旋率的显式表达、背应力的客观率及其与Zaremba-Jaumann率之间的关系.

关键词: 弹塑性；有限变形；变形梯度分解；塑性旋率

Abstract:

Based on the work of Stumpf and Badur (1990) some problems related with the multiplicative decomposition F＝F^eF^pin finite elasto-plasticity have been investigated in detail. It is pointed out that there is no chance to supply an additional independent constitutive equation for plastic and/or elastoplastic spin since it can be represented, in general,by elastic and plastic stretches, as well as elastic and plastic deformation rates. It is especially for the case of rigid-finite plastic deformation suitable for metallic materials, the explicit representation of plastic spin, objective rate of back-stress and its relation with the Zaremba-Jaumann rate. Finally, a suitable way is pointed out that can supply an additional constitutive equation to plastic spin is the use of additive decomposition of elastoplastic deformation rates.

Key words: elasto-plasticity; finite deformation; deformation gradient decomposition; plastic spin

中图分类号:

O 344.3

孙博华，叶志明. 某些与有限弹塑性变形分解F＝F^eF^p有关的问题[J]. 上海大学学报(自然科学版), 2009, 15(1): 1-7.

SUN Bo-hua1,YE Zhi-ming2. Some Remarks on the Multiplicative Decomposition F＝F^eF^pin Finite Elasto-Plasticity[J]. Journal of Shanghai University（Natural Science Edition）, 2009, 15(1): 1-7.

某些与有限弹塑性变形分解F＝F^eF^p有关的问题

Some Remarks on the Multiplicative Decomposition F＝F^eF^pin Finite Elasto-Plasticity

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某些与有限弹塑性变形分解F＝FeFp有关的问题

Some Remarks on the Multiplicative Decomposition F＝FeFp in Finite Elasto-Plasticity

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某些与有限弹塑性变形分解F＝F^eF^p有关的问题

Some Remarks on the Multiplicative Decomposition F＝F^eF^pin Finite Elasto-Plasticity