Multi-scale Sheet Metal Forming Analyses by using Dynamic Explicit Homogenized Finite Element Method.

Recently, the homogenization method has been proposed to predict the macroscopic material properties and characteristics of deformation by considering periodicity of poly crystal microstructure (Terada et al., 1996; Miehe, 1999,2002). We have developed the dynamic explicit finite element (FE) analysis code by using a crystallographic homogenization method. This multi-scale analysis can couple the microscopic crystal plasticity inhomogeneous deformation with the macroscopic continuum deformation. In this homogenization process, the stress at the macro scale is defined by the volume average of those of the corresponding microscopic crystal aggregations in satisfying the equation of motion and compatibility condition in the micro scale “unit-cell,” where the periodicity of deformation is satisfied. And this FEM has shown more reasonable prediction of plastic deformation for simulating the polycrystalline materials (Nakamachi et al. 2004). In this study, we try to determine the unit-cell of AL6022-T43 by using the EBSD measurement. The dynamic explicit crystallographic homogenization finite element analysis code was applied to simulate the limiting dome height test (LDH). The localized distribution of thickness strain and the texture evolution are obtained, and the effect of the numbers of the element in microstructure is found out. © 2005 American Institute of Physics [ABSTRACT FROM AUTHOR]