Elastoplastic Mesoscale Homogenization of Composite Materials

摘要

Mesoscale homogenization provides a computationally efficient way of capturing some degree of local variation in thenbehavior of a composite microstructure. In this work, techniques are explored in which the local two-phase microstructure is homogenizednusing the moving-window generalized method of cells u0001GMCu0002 technique. Both elastic and plastic material behavior is investigated usingnGMC-generated anisotropic stress-strain curves. An optimization procedure is used to define Hill’s yield criterion parameters which bestnfit the GMC-generated data. Two perfectly plastic models are developed based on the GMC results; these are called the subcell initial yieldnmodel and the matrix average yield model. A technique is also developed which incorporates hardening behavior. Different windowingntechniques are investigated: an overlapping windowing technique which requires more computational time, and a nonoverlapping tech-nnique which requires less computational time. It is found that the matrix average model using small nonoverlapping windows is the bestntechnique in the cases studied, combining accuracy and computational efficiency