弹塑性初应力变分原理及其与参变量变分原理的关系

本文从弹性力学中带有初应力的最小势能原理出发,结合线性互补形式的弹塑性本构方程,得到了一种用于弹塑性问题的初应力形式的变分原理。这样得出的变分原理与已经建立并获得成功应用的参变量最小势能原理形式是一致的,从而给出了参变量变分原理的一种容易理解的解释,这对于推广应用参变量变分原理是有意义的.

Variational Principle in the Form of Initial Stress for Elasto-Plasticity Problems and Its Relationship with the Parametric Variational Principle

Based on the minimum potential energy principle for elasticity proble- ms with initial stress and a linear complementarity constitutive equations of elastoplasticity, a variational principle in the form of initial stress is proposed for the elasto-plasticity problems. This principle has the same form as that of the parametric minimum potential energy principle (PMPEP), and therefore it gives a new and simple explanation for PMPEP.