Composite voxels for nonlinear mechanical problems
Heiko Andrä1, Andres Fink1, Matthias Kabel1, Matti Schneider1
1 Department of Flow and Material Simulation, Fraunhofer ITWM, Kaiserslautern, Germany
Two-scale simulations of components classically rely upon finite element simulations on boundary- and interface-fitted meshes on both the macro and the micro scale. For complex microstructures fast and memory-efficient solvers posed on regular voxels grids, in particular the FFT-based homogenization method [1], provide a powerful alternative to FE simulations on unstructured meshes and can be used to replace the micro-solver [2, 3]. Since representative volume elements of the microstructure consist of up to 80003 voxels, even this micro-solver reaches its limits for nonlinear elastic computations.
This talk focuses on the composite voxel technique [4], where sub-voxels are merged into bigger voxels to which an effective material law based on laminates is assigned. Due to the down-sampled grid, both the memory requirements and the computational effort are severely reduced. We discuss the extensions of linear elastic ideas [4, 5] to the physically non-linear setting and assess the accuracy of reconstructed solution fields by comparing them to direct full-resolution computations.
Dr. M. Kabel
Team Manager Composite Materials
Department of Flow and Material Simulation
Fraunhofer ITWM
Fraunhofer-Platz 1
D-67663 Kaiserslautern
Germany
| Phone | +49 631 31600-4649 |
| Fax | +49 631 31600-5649 |
| Dr. M. Kabel | |
| Http | Department of Flow and Material Simulation |