Perzyna粘塑性模型的参变量变分原理*

Perzyna模型是粘塑性本构关系的主要形式之一,本文给出该模型的参变量变分原理,该原理将原问题化为求解带约束条件的泛函极值,其约束条件就是由粘塑性本构关系推导出的系统状态方程,所讨论的问题其塑性流动不受Drucker假定的限制,文中给出原理的证明,并研究弹塑性蠕变问题.

The Parametric Variational Principle for Perzyna Model in Viscoplasticity

This paper presents the parametric variational principle for Perzyna model which, is one of the mainconstitutive relations of visceplasticity. The principle, by which the potential energy function is minimized under a constrained conditiontransformed by the constitutive relations of viscoplasticity, is frue from the bound of Drucker's postulate of plastic flow and consequently suitable for solving the nonas-sociated plastic flow problems. Furthermore, the paper has proven the presented principle and discussed the creep problem.