弹性损伤的一般理论  

General Theory for Elastic Damage

作　　者：唐雪松[1] 蒋持平[1] 郑健龙[2] 

机构地区：[1]北京航空航天大学飞行器设计与应用力学系 [2]长沙交通学院路桥工程系

出　　处：《北京航空航天大学学报》2001年第1期69-72,共4页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金资助项目(19972005);交通部重点科技项目;航空科学基金资助项目!(99G51022)

摘　　要：依据不可逆热力学理论 ,未引入任何附加假设 ,建立了各向异性弹性损伤的一般理论 .从理论上论证了由应变等效假设导出的经典损伤本构方程的近似性 .首次阐明了材料损伤度的多种定义 (损伤的单标量、双标量、二阶张量与四阶张量描述 )之间的区别与联系 .使连续损伤力学的理论体系更臻严密和完整 .On the strict basis of irreversible thermodynamics, a general theory for elastic damage is developed. The approximations and limitations of the classical stress strain constitutive equation based on the strain equivalence hypothesis are argued theoretically. The relations and differences of the existing various definitions of damage (single scalar, double scalar, second rank and fourth rank tensor damage variables) are expounded for the first time. The theoretical rigor of continuum damage mechanics is improved.

关 键 词：连续介质力学 不可逆过程热力学 本构关系 弹性损伤 损伤演化方程 

分 类 号：O346.5[理学—固体力学]