考虑温度效应的弹性损伤一般理论

现有的各种损伤理论基本上都是关于等温问题的 ,且在不同程度上依赖于某些经验假设。本文在严格的不可逆热力学理论基础之上 ,建立了考虑温度效应的弹性损伤一般理论。推导出热弹性各向同性与各向异性损伤材料全部本构方程的一般形式 ,其中包括应力 应变关系、熵密度方程、损伤对偶张量表达式、热 固 损伤耦合的热传导方程和损伤演化方程。它们的特殊形式包含了等温各向同性与各向异性弹性损伤的本构方程

A General Continuum Theory of Elastic Damage Coupled with Thermal Effect

The existing damage theories are almost about isothermal damage problems,and depend on some empirical hypotheses to some extent.A continuum damage theory for the problem of thermo elastic damage coupling is developed on the strict basis of irreversible thermodynamics.The general representations of constituti ve equations for thermo elastic damaged materials are derived.These constitut ive equations include stress strain,entropy density,damage dual tensor,therm o elastic damage coupled heat conduction and damage evolution equations.These equations can be simplified as the ones for isothermal elastic isotropic and anisotropic damaged materials.