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.
|Original language||English (US)|
|Number of pages||24|
|Journal||International Journal for Numerical Methods in Engineering|
|State||Published - Feb 14 2004|
- Finite element method
- Heterogenous media