魏祖健,黄文彬.有限元分析中硬化弹塑性本构方程积分算法[J].计算力学学报,1992,9(3): |
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有限元分析中硬化弹塑性本构方程积分算法 |
An Integration Algorithm of Hardening Elastoplastic Constitutive Equations in Finite Element Analysis |
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DOI:10.7511/jslx19923040 |
中文关键词: 有限元法,弹塑性,本构方程,混合硬化,积分算法 |
英文关键词:finite element method, elastoplasticity, constitutive equation, mixed hardening, integration algorithm |
基金项目: |
魏祖健 黄文彬 |
北京农业工程大学 100083
(魏祖健) ,北京农业工程大学 100083(黄文彬)
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中文摘要: |
基于增量段上的应变关于塑性拉氏乘子的变化率为常矢量的假定,导出一种精确有效的、对有限元分析中线性混合硬化弹塑性本构方程的积分算法。以精确算例和等误差分布图的形式检验了本文方法以及其他两种常用方法的精度。 |
英文摘要: |
An algorithm is proposed for the accurate and efficient integration of the linear mixed hardening elastoplastic constitutive equations in finite element analysis based on the assumption of constant strain rate vector with respect to the plastic Lagrange multiplier over the time step. An exact sample problem and iso-error maps are given to test the accuracy of the present method as well as two other commonly used ones. |
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