摘要
该文对于弹性力学的和粘性流体力学的本构方程、粘性正压流体的物态方程等进行了统一的讨论,提出了本构场能密度和合能密度的概念,建立了统一的本构泛函变分原理和有关的广义变分原理。
This paper presents a unified discussion of various constitutiveequations e. g. elasticity, viscous fluid mechanics and barotropic fluid flow,etc. The concepts of the density of constitutive field energy and the density ofcomplementary energy are presented. The variational principles of constitutivefunctional and some generalized variational principles are established:
关键词
连续介质
力学
本构方程
余能
密度
continuous media
mechanics
conditutive equations
field
complementary energy
density
variational method