GENERAL EXPRESSIONS OF CONSTITUTIVE EQUATIONS FOR ISOTROPIC ELASTIC DAMAGED MATE

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GENERAL EXPRESSIONS OF CONSTITUTIVE EQUATIONS FOR ISOTROPIC ELASTIC DAMAGED MATERIALS

The general expressions of constitutive equations for isotropic elastic damaged materials were derived directly from the basic law of irreversible thermodynamics. The limitations of the classical damage constitutive equation based on the well-known strain equivalence hypothesis were overcome. The relationships between the two elastic isotropic damage models(i. e. single and double scalar damage models)were revealed. When a single scalar damage variable defined according to the microscopic geometry of a damaged material is used to describle the isotropic damage state, the constitutive equations contain two "damage effect functions", which describe the different influences of damage on the two independent elastic constants. The classical damage constitutive equation based on the strain equivalence hypothesis is only the first-order approximation of the general expression.It may be unduly simplified and may fail to describe satisfactorily the damage phenomena of practical materials.

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作 者: 唐雪松 蒋持平 郑健龙  
作者单位:唐雪松(Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China;Department of Bridge and Structure Engineering, Changsha Jiaotong University, Changsha 410076, P R China)水利论文 mql"y(N^%]UTq@
蒋持平(Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, P R China)水利论文3s B+^k!Wd7S!LN
郑健龙(Department of Highway and Communications Engineering, Changsha Jiaotong University, Changsha 410076, P R China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2001 22(12) 
分类号:O346.5 
关键词:damage mechanics   irreversible thermodynamics   elaStic damage   constitutive equation  
机标关键词:constitutive equationsirreversible thermodynamicsgeneral expressionselastic constantsdamage variablebasic law 
基金项目:国家自然科学基金,Foundation of Ministry of Communications of China 
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