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Metal matrix composites are promising material system with high strength-to-weight and stiffness-to-weight for high temperature application. Mechanical behavior of the metal matrix composite is affected by microscopically distributed residual stress owing to interaction of fibers. A periodical cluster model is made to analyze both macro-and microscopic behavior of the composite. On the basis of the periodicity of the microstructure, the homogenization theory with asymptotic expansion is applied to connect the macro behavior with the microscopic structure. Formulation on the homogenized constitutive relation is described as the solution for perturbed displacement of the composite. The fiber-matrix interface of the composite is modeled as Coulomb frictional contact under compressive residual stress. To solve for the perturbed displacement field of the composite, boundary integral formulation is introduced into the interface contact problem. The formulation enables simultaneous numerical calculations for macro-and microscopic fields to evaluate nonlinear mechanical behavior of composite. Numerical calculation is made to clear the relation of the residual stress distribution to the nonlinear behavior of the composite.

Effects of Interaction of Fibers and Interface Properties on Nonlinear Behavior of Metal Matrix Composites