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THE OVERALL ELASTIC MODULI AND DAMAGE OF THE MATERALS CONTAINING ORTHOGONAL INCLUSIONS AND DEFECTS

Zhao Aihong; Yu Jilin (University of Science and Technology of China, Hefei 230027, China)  
The effective elastic moduli and damage of materials containing orthogonal inclusions or defects are investigated in this paper. Based on Eshelby-Mori-Tanaka's theory, a simplified formula of the effective moduli for a multiphase, anisotropic composite is developed. The explicit expressions of the effective elastic compliance tensor of an orthotropic composite reinforced by three mutually perpendicular families of ellipsoidal inclusions are then derived. These expressions contain the micro-structural parameters (shape, orientation and volume fraction of the inclusions) of the composite. A model of orthotropic damage of materials that combines macroscopic mechanical properties with micro-structural parameters of the material is proposed. The stress and strain relation with micro-structural parameters is presented. Furthermore, the effects of the microstructural parameters on the damage of material are analyzed.
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