ELASTICITY MODULUS OF RANDOM COMPOSITE AND ELASTIC PERCOLATION FAILURE OF SOLIDS

The elasticity modulus of random composite is obtained in 2 and 3 dimensional spaces, based on the solutions of over-matching problems in elastic mechanics. A system with 2 components is also considered, and the calculated results are in good agreement with available references. Further, taking the voids and defects in materials as the second phase with zero modulus, one can easily obtain the expressions for predicting modulus and threshold of the elastic percolation failure of materials containing voids, and the results agree excellently with those in available literatures.