统一粘塑性本构方程一致切线刚度矩阵的研究

王庆五; 杨晓光; 石多奇

统一粘塑性本构方程一致切线刚度矩阵的研究

北京航空航天大学能源与动力工程学院, 北京 100083

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出版历程
- 收稿日期: 2006-11-14
- 修回日期: 2007-03-10
- 刊出日期: 2007-11-28

Research on consistent tangent modulus for unified viscoplastic constitutive equations

School of Jet Propulsion, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 统一粘塑性本构方程是微分或增量形式的方程组,内变量是隐式的,一致切线刚度矩阵很难给出明确的表达式.针对包含热恢复项的统一的粘塑性本构方程,在向后欧拉积分的基础上,为本构模型推导和确定了一个新的考虑率相关塑性的一致切线刚度矩阵(Consistent tangent modulus)的表达式,并在通用的有限单元分析程序MARC中实现.通过一些算例的有限元分析,检验了一致切线刚度矩阵的可行性.
- 航空、航天推进系统 /
- 粘塑性 /
- 本构方程 /
- 隐式积分 /
- 一致切线刚度矩阵
Abstract: Unified viscoplasticity constitutive equations are a system of integral or incremental equations with implied internal variables.So,it is difficult to provide a well-defined expression of the consistent tangent modulus.Based on the backward Euler's integral for unified viscoplasticity constitutive equations,a new expression of consistent tangent modulus was derived for rate-dependent plasticity.The constitutive equations and consistent tangent modulus expression were implemented in a commercial finite element code-MARC.The numerical examples of finite elements verify the feasibility of consistent tangent modulus.
- aerospace propulsion system /
- viscoplasticity /
- constitutive equations /
- implicit integration /
- consistent tangent modulus

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参考文献(15)

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