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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (12): 1468-1475.

• 论文 • 上一篇    下一篇

GENERAL EXPRESSIONS OF CONSTITUTIVE EQUATIONS FOR ISOTROPIC ELASTIC DAMAGED MATERIALS

唐雪松1,2, 郑健龙1, 蒋持平3   

  1. 1. Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing00083, P. R. China;
    2. Department of Bridge and Structure Engineering, Changsha Jiaotong University,Changsha 410076,P R China;
    3. Department of Highway and Communications Engineering,Changsha Jiaotong University,Changsha 410076,P R China
  • 收稿日期:1999-10-11 修回日期:2001-05-16 出版日期:2001-12-18 发布日期:2001-12-18
  • 基金资助:

    the National Natural Science Foundation of China(19972005);the Major Science and Technology Projects of the Ministry of Communication of P R China

GENERAL EXPRESSIONS OF CONSTITUTIVE EQUATIONS FOR ISOTROPIC ELASTIC DAMAGED MATERIALS

TANG Xue-song1,2, ZHENG Jian-long1, JIANG Chi-ping3   

  1. 1. Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing00083, P. R. China;
    2. Department of Bridge and Structure Engineering, Changsha Jiaotong University,Changsha 410076,P R China;
    3. Department of Highway and Communications Engineering,Changsha Jiaotong University,Changsha 410076,P R China
  • Received:1999-10-11 Revised:2001-05-16 Online:2001-12-18 Published:2001-12-18
  • Supported by:

    the National Natural Science Foundation of China(19972005);the Major Science and Technology Projects of the Ministry of Communication of P R China

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摘要： 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.

Abstract: 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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