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Title: 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:
ORCiD logo [1];  [1];  [1];  [1];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. 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}
}

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Works referencing / citing this record:

Computational homogenization with million-way parallelism using domain decomposition methods
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Local Ratcheting Phenomena in the Cyclic Behavior of Polycrystalline Tantalum
journal, June 2019