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

Journal Article · 05 November 2017 · Computational Mechanics

DOI: https://doi.org/10.1007/s00466-017-1481-5 · OSTI ID:1411597

Alleman, Coleman N. ^[1]; Foulk, James W. ^[1]; Mota, Alejandro ^[1]; Lim, Hojun ^[2]; Littlewood, David J. ^[3]

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1. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Mechanics of Materials Dept.
2. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Computational Materials and Data Science
3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiscale Science

The heterogeneity in mechanical fields introduced by microstructure plays a critical role in the localization of deformation. In order 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. Here, 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 J₂ 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.

• Research Organization: Sandia National Laboratories (SNL-CA), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: AC04-94AL85000
• OSTI ID: 1411597
• Report Number(s): SAND--2017-2403J; {"Journal ID: ISSN 0178-7675","PII: 1481"}
• Journal Information: Computational Mechanics, Journal Name: Computational Mechanics Journal Issue: 1-2 Vol. 61; ISSN 0178-7675
• Publisher: SpringerCopyright Statement
• Country of Publication: United States
• Language: English