Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations

article Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations D. Pivovarov author J. Mergheim author K. Willner author P. Steinmann author TRR 285: TRR 285 project TRR 285 - A: TRR 285 - Project Area A project TRR 285 – A05: TRR 285 - Subproject A05 project Computational homogenization is a powerful tool allowing to obtain homogenized properties of materials on the macroscale from simulations of the underlying microstructure. The response of the microstructure is, however, strongly affected by variations in the microstructure geometry. In particular, we consider heterogeneous materials with randomly distributed non-overlapping inclusions, which radii are also random. In this work we extend the earlier proposed non-deterministic computational homogenization framework to plastic materials, thereby increasing the model versatility and overall realism. We apply novel soft periodic boundary conditions and estimate their effect in case of non-periodic material microstructures. We study macroscopic plasticity signatures like the macroscopic von-Mises stress and make useful conclusions for further constitutive modeling. Simulations demonstrate the effect of the novel boundary conditions, which significantly differ from the standard periodic boundary conditions, and the large influence of parameter variations and hence the importance of the stochastic modeling. 2021 eng Computational Mechanics10.1007/s00466-021-02099-x Pivovarov D, Mergheim J, Willner K, Steinmann P. Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations. Computational Mechanics. Published online 2021. doi:<a href="https://doi.org/10.1007/s00466-021-02099-x">10.1007/s00466-021-02099-x</a> Pivovarov, D., Mergheim, J., Willner, K., & Steinmann, P. (2021). Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations. Computational Mechanics. <a href="https://doi.org/10.1007/s00466-021-02099-x">https://doi.org/10.1007/s00466-021-02099-x</a> D. Pivovarov, J. Mergheim, K. Willner, P. Steinmann, Computational Mechanics (2021). Pivovarov, D., et al. “Stochastic Local FEM for Computational Homogenization of Heterogeneous Materials Exhibiting Large Plastic Deformations.” Computational Mechanics, 2021, doi:<a href="https://doi.org/10.1007/s00466-021-02099-x">10.1007/s00466-021-02099-x</a>. @article{Pivovarov_Mergheim_Willner_Steinmann_2021, title={Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations}, DOI={<a href="https://doi.org/10.1007/s00466-021-02099-x">10.1007/s00466-021-02099-x</a>}, journal={Computational Mechanics}, author={Pivovarov, D. and Mergheim, J. and Willner, K. and Steinmann, P.}, year={2021} } Pivovarov, D., J. Mergheim, K. Willner, and P. Steinmann. “Stochastic Local FEM for Computational Homogenization of Heterogeneous Materials Exhibiting Large Plastic Deformations.” Computational Mechanics, 2021. <a href="https://doi.org/10.1007/s00466-021-02099-x">https://doi.org/10.1007/s00466-021-02099-x</a>. D. Pivovarov, J. Mergheim, K. Willner, and P. Steinmann, “Stochastic local FEM for computational homogenization of heterogeneous materials exhibiting large plastic deformations,” Computational Mechanics, 2021, doi: <a href="https://doi.org/10.1007/s00466-021-02099-x">10.1007/s00466-021-02099-x</a>. 306442022-03-28T12:24:19Z2022-03-29T12:42:38Z