摘要
本文分别采用总体拉格朗日描述和适时拉格朗日描述,导出了适用于连续介质有限变形有限元分析的增量形式的虚功方程.在增量形式的虚功方程中,考虑了位移增量的非线性项,并引入了平衡修正项.
In this paper, the incremental virtual work equations for finite element analysis of finite deformation of a continuum medium were derived with Total Lagrangian Formulation and Updated Lagrangian Formulation respectively. In the equations, the nonlinear terms of incremental displacements were considered, and the balance correction terms were introduced.
关键词
连续
介质
虚功方程
有限变形
构形
continuum medium
configuration
virtual work equation
finite deformation
Total Lagrangian Formulation
Updated Lagrangian Formulation