Homogenization of three-dimensional micro-heterogeneous materials using nonuniform transformation fields

The inelastic material properties of Metal Matrix Composites (MMC) with particulate reinforcement are investigated. In order to be able to investigate a variety of unit cells a method for the generation and spatial discretization of random model mi-crostructures is presented. The Nonuniform Transformation Field Analysis (NTFA) is employed to investigate the properties of the microheterogeneous material with physical non-linearity. The coefficients of the NTFA are determined from full-field simulations using the Finite Element Method (FEM) on the microscopic scale with consideration of the exact geometry. The homogenized material model is implemented into ABAQUS STANDARD. Numerical examples highlight the efficiency of the method.