Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics
Abstract
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.
- Authors:
-
- Sandia National Lab. (SNL-CA), Livermore, CA (United States). Mechanics of Materials Dept.
- Sandia National Lab. (SNL-CA), Livermore, CA (United States). Computational Materials and Data Science
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiscale Science
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1411597
- Report Number(s):
- SAND-2017-2403J
Journal ID: ISSN 0178-7675; PII: 1481; TRN: US1800240
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computational Mechanics
- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 1-2; Journal ID: ISSN 0178-7675
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 36 MATERIALS SCIENCE; multiscale modeling; crystal plasticity; finite element modeling; localization
Citation Formats
Alleman, Coleman N., Foulk, James W., Mota, Alejandro, Lim, Hojun, and Littlewood, David J. Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics. United States: N. p., 2017.
Web. doi:10.1007/s00466-017-1481-5.
Alleman, Coleman N., Foulk, James W., Mota, Alejandro, Lim, Hojun, & Littlewood, David J. Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics. United States. https://doi.org/10.1007/s00466-017-1481-5
Alleman, Coleman N., Foulk, James W., Mota, Alejandro, Lim, Hojun, and Littlewood, David J. Mon .
"Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics". United States. https://doi.org/10.1007/s00466-017-1481-5. https://www.osti.gov/servlets/purl/1411597.
@article{osti_1411597,
title = {Concurrent multiscale modeling of microstructural effects on localization behavior in finite deformation solid mechanics},
author = {Alleman, Coleman N. and Foulk, James W. and Mota, Alejandro and Lim, Hojun and Littlewood, David J.},
abstractNote = {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.},
doi = {10.1007/s00466-017-1481-5},
journal = {Computational Mechanics},
number = 1-2,
volume = 61,
place = {United States},
year = {2017},
month = {11}
}
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