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《JOURNAL OF CHANGSHA COMMUNICATIONS UNIVERSITY》 1999-04
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Stress Strain Constitutive Relation and Damage Evolution Equation for Elastic Damaged Materials

TANG Xue song 1, JIANG Chi ping 1, ZHENG Jian long 2 (1. Division 508, Dept. of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China; 2.Changsha Comm. Univ., Changsha 410076, China  
In classical continuum damage theories, the constitutive equations for damaged materials are usually set up by using the concept of effective stress and the strain equivalence principle (or hypothesis), and some limitations of this principle have been found. Because the constitutive equations based on the strain equivalence principle for damaged materials do not reflect the damage behaviour of real materials, the constitutive functional expansion method(CFEM) is developed on the strict theoretical basis of irreversible thermodynamics, and by using the CFEM the constitutive equations for isotropic elastic damaged materials are derived. It is found that two independent “damage effect functions” are related to a single scalar damage variable in the constitutive equations under infinitesimal strain conditions. The detailed expressions of the damage effect functions are investigated by micromechanics, which enables us to relate the continuum damage mechanics with the microscopic damage mechanics. Thus,in the framework of generalized standard materials, the damage evolution equation for isotropic elastic damaged materials has been derived.
【Fund】: 交通部重点科技项目
【CateGory Index】: O346.5
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