The use of discrete harmonics in direct multi-scale embedding of polycrystal plasticity
Abstract
In this work, we describe an approach for directly embedding polycrystal plasticity models in component scale calculations, with an emphasis on computational tractability. Previously, we have employed adaptive sampling to mitigate the computational cost of direct embedding, achieving two or more orders of magnitude in wall-clock speedup compared to more traditional approaches. However, in our previous work the crystal orientation distribution function (crystallographic texture) was not allowed to evolve significantly. Here we discuss an approach that allows for evolving texture by employing discrete harmonics, effectively decoupling considerations related to accuracy of integrals in the homogenization from those related to adequate representation of the evolving texture. We discuss the basic behaviors and convergence of the new polycrystal plasticity framework. Specific applications focus on the deformation of titanium, including the effects of twinning. Overall, the discrete harmonic based framework offers an attractive path forward for computationally efficient multi-scale embedding of polycrystal plasticity.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Cornell Univ., Ithaca, NY (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1762891
- Alternate Identifier(s):
- OSTI ID: 1255323
- Report Number(s):
- LLNL-JRNL-650713
Journal ID: ISSN 0045-7825; 770618
- Grant/Contract Number:
- AC52-07NA27344; 04-ERD-102; 07-ERD-024
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Computer Methods in Applied Mechanics and Engineering
- Additional Journal Information:
- Journal Volume: 283; Journal Issue: na; Journal ID: ISSN 0045-7825
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Multi-scale; Polycrystal; Crystal plasticity; Constitutive models; Finite element method; Adaptive sampling
Citation Formats
Barton, Nathan R., Bernier, Joel V., Lebensohn, Ricardo A., and Boyce, Donald E. The use of discrete harmonics in direct multi-scale embedding of polycrystal plasticity. United States: N. p., 2014.
Web. doi:10.1016/j.cma.2014.09.017.
Barton, Nathan R., Bernier, Joel V., Lebensohn, Ricardo A., & Boyce, Donald E. The use of discrete harmonics in direct multi-scale embedding of polycrystal plasticity. United States. https://doi.org/10.1016/j.cma.2014.09.017
Barton, Nathan R., Bernier, Joel V., Lebensohn, Ricardo A., and Boyce, Donald E. Wed .
"The use of discrete harmonics in direct multi-scale embedding of polycrystal plasticity". United States. https://doi.org/10.1016/j.cma.2014.09.017. https://www.osti.gov/servlets/purl/1762891.
@article{osti_1762891,
title = {The use of discrete harmonics in direct multi-scale embedding of polycrystal plasticity},
author = {Barton, Nathan R. and Bernier, Joel V. and Lebensohn, Ricardo A. and Boyce, Donald E.},
abstractNote = {In this work, we describe an approach for directly embedding polycrystal plasticity models in component scale calculations, with an emphasis on computational tractability. Previously, we have employed adaptive sampling to mitigate the computational cost of direct embedding, achieving two or more orders of magnitude in wall-clock speedup compared to more traditional approaches. However, in our previous work the crystal orientation distribution function (crystallographic texture) was not allowed to evolve significantly. Here we discuss an approach that allows for evolving texture by employing discrete harmonics, effectively decoupling considerations related to accuracy of integrals in the homogenization from those related to adequate representation of the evolving texture. We discuss the basic behaviors and convergence of the new polycrystal plasticity framework. Specific applications focus on the deformation of titanium, including the effects of twinning. Overall, the discrete harmonic based framework offers an attractive path forward for computationally efficient multi-scale embedding of polycrystal plasticity.},
doi = {10.1016/j.cma.2014.09.017},
journal = {Computer Methods in Applied Mechanics and Engineering},
number = na,
volume = 283,
place = {United States},
year = {Wed Oct 15 00:00:00 EDT 2014},
month = {Wed Oct 15 00:00:00 EDT 2014}
}
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