A computational approach for multi-scale analysis of heterogeneous elasto-plastic media subjected to short duration loads

The asymptotic expansion homogenization (AEH) approach has found wide acceptance for the study of heterogeneous structures due to its ability to account for multi-scale features. The emphasis of the present study is to develop consistent AEH numerical formulations to address elasto-plastic material response of structures subjected to short-duration transient loading. A second-order accurate velocity-based explicit time integration method, in conjunction with the AEH approach, is currently developed that accounts for large deformation non-linear material response. The approach is verified under degenerate homogeneous conditions using existing experimental data in the literature and its ability to account for heterogeneous conditions is demonstrated for a number of test problems.