General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials

TANG Xue-song; JIANG Chi-ping; ZHENG Jian-long

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(12): 1317-1323

TANG Xue-song, JIANG Chi-ping, ZHENG Jian-long. General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1317-1323.

Citation:

TANG Xue-song, JIANG Chi-ping, ZHENG Jian-long. General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1317-1323.

Citation:

TANG Xue-song, JIANG Chi-ping, ZHENG Jian-long. General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials[J]. Applied Mathematics and Mechanics, 2001, 22(12): 1317-1323.

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General Expressions of Constitutive Equations for Isotropic Elastic Damaged Materials

1.
Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, 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 Date: 1999-10-11
Rev Recd Date: 2001-05-16
Publish Date: 2001-12-15

Abstract

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.
- damage mechanics,
- irreversible thermodynamics,
- elastic damage,
- constitutive equation

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References(15)

References

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