有限变形杂交/混合有限元分析

Finite Deformation Analysis with Hybrid/Mixed Finite Element Method

采用UpdatedLagrangian描述、建立了基于力学子单元模型的增量型有限变形杂交 /混合有限元列式 ,其中以第二类Piola Kirchhoff应力增量和位移增量作为独立变量。 3个典型数值算例显示 ,本方法提供的数值解与解析解和已有的数值解吻合良好 。

A modified Reissner type incremental variational functional is proposed by adopting a updated Lagrangian description. The variational functional involves displacements and second Piola Kirchhoff stress increments as independent variables. To enhance computational efficiency, the mechanical subelement model is adopted to describe nonlinear material behaviors. Three example problems are solved to test the proposed method, and the reliability and effectiveness are illustrated by the results.