| 带弹性范围物质理论和背应力定义 |
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| 引用本文： | 陈良森,赵兴华.带弹性范围物质理论和背应力定义[J].应用数学和力学,1999,20(5):452-460. |
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| 作者姓名： | 陈良森 赵兴华 |
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| 作者单位： | 1.南昌大学南区工程力学所, 南昌 330029; |
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| 摘 要： | 在推广Lucchesi和Podio-Guidugli(1988)的带弹性范围物质理论的基础上,表明了背应力作为Cauchy应力空间中屈服面“中心”的定义存在问题.背应力是Lagrange型变量,只能定义在Lagrange型应力空间上.
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| 关 键 词： | 带弹性范围物质理论 弹塑性本构 背应力 |
| 文章编号： | 1000-0887(1999)05-0452-09 |
| 收稿时间： | 1998-04-14 |
A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor |
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| Chen Liangsen,Zhao Xinghua.A Mathematical Theory of Materials with Elastic Range and the Definition of Back Stress Tensor[J].Applied Mathematics and Mechanics,1999,20(5):452-460. |
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| Authors: | Chen Liangsen Zhao Xinghua |
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| Institution: | 1.Institute of Engineering Mechanics, Nanchang University, Nanchang 330029, P R China;2.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P R China |
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| Abstract: | In this paper,the theory of materials with elastic range by Lucchesi and Podio-Guidugli (1988) has been generalized.It has also shown that there are some difficulties on the definition of back stress as the"center" of the yield surface in the Cauchy space.The back stress tensor is Lagrangian,and must be defined in the Lagrangian stress space. |
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| Keywords: | theory of materials with elastic range elastic_plastic constitutive relation back stress |
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