Abstract
The elastic modulus calculation of particle-reinforced composites is a classic but rather complex issue. By adopting analytic method, this paper is intended to seek solutions and calculations with the help of the symbolic integral operation function of the software Mathematica to derive the analytical expressions of the elastic modulus of particle-reinforced composites. Study shows that the representative volume unit of particle-reinforced composites may be expressed with spherical model. Two calculation methods which feature “first parallel and then serial” and “first serial and then parallel” respectively deliver two slightly different elastic modulus values, and the intermediate value may be deemed as the predicted elastic
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