摘要
主要研究了乘法分解弹塑性在大变形有限元程序中的实现.首先建立了纠正的拉格朗日描述下的平衡方程.并导出了其一致线性化形式,然后以中间构形弹性对数应变张量及与其功共轭的应力张量为共轭应力应变度量代入平衡方程对其进行简化与对称化处理以形成便于程序实现的Jaco-bian矩阵.采用所建立的有限元公式对圆柱形试件的单向拉伸过程进行了数值模似.
This paper discusses the realization of multiplicative decomposition elasto-plasticity in anamorphosis finite element equation. An equilibrium equation described by updated Lagrangian is set up first and its consistently linearized form is derived. Then taking the elastic logarithm strain of the intermediate configuration and its conjugate stress tensor as conjugate stress strain measures, this paper introduces these measures into the equibibrium equation to get them simplified and symmetricalized so as to form the Jacobian matrix which is easy for programming. And numerical simulation of a cylindrical bar under uniaxial extension is carried out by using the finite element formulations established.
出处
《装甲兵工程学院学报》
1997年第2期5-10,共6页
Journal of Academy of Armored Force Engineering
关键词
有限单元法
中间构形
平衡方程
Finite element method
intermediate configuration
equibibrium equation
