一个适用于非线性板壳问题的广义变分原理

A General Variational Principle Suitable for Non-linear Plate and Shell Problems

本文在现时拉格朗日(UL)描述下推导了适用于有限变形及率敏感非弹性材料的广义变分原理。以位移率和应变率为独立变量使它较适于在非弹性材料的板壳问题中应用。并推导了两种率敏感塑性模型(Bodner和Perzyna)的统一的计算增量表达形式。

This paper, under the so-called Updated Lagrangian reference frame, deduces a mixed variational rate principle that is suitable for finite deformation, strain rate sensitive inelastic material. Using the displacement rate and strain rate as independent variables makes it convenient to use the functional in the problems of inelastic material of plate shell. After thought over the dependence of the inelastic strain rate on the variational variables carefully, the rate form functional has been changed into an increment form that has high order convergence rate for rate sensitive inelastic material calculation. The formulations of two rate-sensitive plasticity models, the Bodner's and Perznya's, have been united in form.