Average Elastic-Plastic Behavior of a Composite Material with Spherical Inhomogeneities in the Condition of Axial Stress

Abstract

Study by Y. Hirose and Z. Lin et al. (1994) can be applied to discuss the average elastic-plastic behavior of the composite material subjected only to axial stress. This composite material is composed of matrix and spherical inhomogeneities of isotropic perfect ideal elastic plastic materials. The volume of any inhomogeneity is very smaller than that of matrix, and the inhomogeneities fit tightly against the matrix. The criteria when the inhomogeneity becomes plastic first was found. It is shown that the yield stress of composite material σ_so increases with the increment of the total volume fraction of the inhomogeneities ƒ when the shear elasticity of the inhomogeneities μ^* is bigger than that of matrix μ. The overall stress at the first yielding is obtained.