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Erschienen in: Computational Mechanics 1-2/2018

06.11.2017 | Original Paper

Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics

verfasst von: Coleman N. Alleman, James W. Foulk III, Alejandro Mota, Hojun Lim, David J. Littlewood

Erschienen in: Computational Mechanics | Ausgabe 1-2/2018

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Abstract

The heterogeneity in mechanical fields introduced by microstructure plays a critical role in the localization of deformation. To resolve this incipient stage of failure, it is therefore necessary to incorporate microstructure with sufficient resolution. On the other hand, computational limitations make it infeasible to represent the microstructure in the entire domain at the component scale. In this study, the authors demonstrate the use of concurrent multiscale modeling to incorporate explicit, finely resolved microstructure in a critical region while resolving the smoother mechanical fields outside this region with a coarser discretization to limit computational cost. The microstructural physics is modeled with a high-fidelity model that incorporates anisotropic crystal elasticity and rate-dependent crystal plasticity to simulate the behavior of a stainless steel alloy. The component-scale material behavior is treated with a lower fidelity model incorporating isotropic linear elasticity and rate-independent \(J_{2}\) plasticity. The microstructural and component scale subdomains are modeled concurrently, with coupling via the Schwarz alternating method, which solves boundary-value problems in each subdomain separately and transfers solution information between subdomains via Dirichlet boundary conditions. In this study, the framework is applied to model incipient localization in tensile specimens during necking.

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Metadaten
Titel
Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics
verfasst von
Coleman N. Alleman
James W. Foulk III
Alejandro Mota
Hojun Lim
David J. Littlewood
Publikationsdatum
06.11.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 1-2/2018
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-017-1481-5

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