Copyright Dr. Matthias Kabel

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.

References

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
Email
Http Department of Flow and Material Simulation
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