| Composite materials, for their attractive behaviors, have been utilized more and more widely in many important industry fields, such as aerospace, automobile, biologic, military production, nuclear energy and so on. For particulate reinforced composites, the material properties can be improved by the particulate inclusions. On the other hand, the strength of fracture and fatigue will be decreased at the same time. Both the positive and negative effects depend on the size, shape and spatial distribution of those second phase microstructure, such as inclusions.and voids. The homogenization method can combine the meso-scale and macro-scale, then the microscopic stress strain field and the macroscopic effective property parameters can be obtained.VCFEM model can accurately describe the random of size, shape and spatial distribution of the composite microstructure. can construct an arbitrary shape primitives as macro structure at different positions of the micro structural features of the representative volume element. We can construct a basic cell with arbitrary shape as a representative volume element which can contain microstructure characterization at different position of the macrostructure.Based on the original program about the Voronoi cell finite element method, the program about homogenization method was written, and the effectiveness of the program was verified. The stress and strain fields are obtained by the program about the Voronoi cell finite element method, and the effective macroscopic elastic modulus of the material is obtained by the homogenization method.The program about the debonding damage of the particle interface is improved. The Weibull distribution function of particle debonding strength is introduced, and the probability damage model is obtained. Using this model, the process of interface debonding between matrix and particles is described, and the effect of material damage on the effective modulus is calculated. |
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