Direct numerical simulations in solid mechanics for quantifying the macroscale effects of microstructure and material model-form error
Abstract
Two fundamental approximations in macroscale solid-mechanics modeling are (1) the assumption of scale separation in homogenization theory and (2) the use of a macroscopic plasticity material model that represents, in a mean sense, the multitude of inelastic processes occurring at the microscale. With the goal of quantifying the errors induced by these approximations on engineering quantities of interest, we perform a set of direct numerical simulations (DNS) in which polycrystalline microstructures are embedded throughout a macroscale structure. The largest simulations model over 50,000 grains. The microstructure is idealized using a randomly close-packed Voronoi tessellation in which each polyhedral Voronoi cell represents a grain. An face centered cubic crystal-plasticity model is used to model the mechanical response of each grain. The overall grain structure is equiaxed, and each grain is randomly oriented with no overall texture. The detailed results from the DNS simulations are compared to results obtained from conventional macroscale simulations that use homogeneous isotropic plasticity models. The macroscale plasticity models are calibrated using a representative volume element of the idealized microstructure. Furthermore, we envision that DNS modeling will be used to gain new insights into the mechanics of material deformation and failure.
- Authors:
-
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- General Motors, Milford, MI (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1262246
- Report Number(s):
- SAND-2016-2894J
Journal ID: ISSN 1047-4838; PII: 1857
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- JOM. Journal of the Minerals, Metals & Materials Society
- Additional Journal Information:
- Journal Volume: 68; Journal Issue: 5; Journal ID: ISSN 1047-4838
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; multiscale; direct numerical simulation; material variability; homogenization; uncertainty quantification; model-form error; polycrystal; Voronoi
Citation Formats
Bishop, Joseph E., Emery, John M., Battaile, Corbett C., Littlewood, David J., and Baines, Andrew J. Direct numerical simulations in solid mechanics for quantifying the macroscale effects of microstructure and material model-form error. United States: N. p., 2016.
Web. doi:10.1007/s11837-016-1857-6.
Bishop, Joseph E., Emery, John M., Battaile, Corbett C., Littlewood, David J., & Baines, Andrew J. Direct numerical simulations in solid mechanics for quantifying the macroscale effects of microstructure and material model-form error. United States. https://doi.org/10.1007/s11837-016-1857-6
Bishop, Joseph E., Emery, John M., Battaile, Corbett C., Littlewood, David J., and Baines, Andrew J. Wed .
"Direct numerical simulations in solid mechanics for quantifying the macroscale effects of microstructure and material model-form error". United States. https://doi.org/10.1007/s11837-016-1857-6. https://www.osti.gov/servlets/purl/1262246.
@article{osti_1262246,
title = {Direct numerical simulations in solid mechanics for quantifying the macroscale effects of microstructure and material model-form error},
author = {Bishop, Joseph E. and Emery, John M. and Battaile, Corbett C. and Littlewood, David J. and Baines, Andrew J.},
abstractNote = {Two fundamental approximations in macroscale solid-mechanics modeling are (1) the assumption of scale separation in homogenization theory and (2) the use of a macroscopic plasticity material model that represents, in a mean sense, the multitude of inelastic processes occurring at the microscale. With the goal of quantifying the errors induced by these approximations on engineering quantities of interest, we perform a set of direct numerical simulations (DNS) in which polycrystalline microstructures are embedded throughout a macroscale structure. The largest simulations model over 50,000 grains. The microstructure is idealized using a randomly close-packed Voronoi tessellation in which each polyhedral Voronoi cell represents a grain. An face centered cubic crystal-plasticity model is used to model the mechanical response of each grain. The overall grain structure is equiaxed, and each grain is randomly oriented with no overall texture. The detailed results from the DNS simulations are compared to results obtained from conventional macroscale simulations that use homogeneous isotropic plasticity models. The macroscale plasticity models are calibrated using a representative volume element of the idealized microstructure. Furthermore, we envision that DNS modeling will be used to gain new insights into the mechanics of material deformation and failure.},
doi = {10.1007/s11837-016-1857-6},
journal = {JOM. Journal of the Minerals, Metals & Materials Society},
number = 5,
volume = 68,
place = {United States},
year = {Wed Mar 16 00:00:00 EDT 2016},
month = {Wed Mar 16 00:00:00 EDT 2016}
}
Web of Science
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