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Title: Computational Homogenization of Polycrystals

Abstract

This paper reviews the current state of the art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modeling strategy are presented in detail starting with the parameters needed to describe polycrystalline microstructures and the digital representation of such microstructures in a suitable format to perform computational homogenization. The different crystal plasticity frameworks that can describe the physical mechanisms of deformation in single crystals (dislocation slip and twinning) at the microscopic level are presented next. This is followed by the description of computational homogenization methods based on mean-field approximations by means of the viscoplastic self-consistent approach, or on the full-field simulation of the mechanical response of a representative polycrystalline volume element by means of the finite element method or the fast Fourier transform-based method. Multiscale frameworks based on the combination of mean-field homogenization and the finite element method are presented next to model the plastic deformation of polycrystalline specimens of arbitrary geometry under complex mechanical loading. Examples of application to predict the strength, fatigue life, damage, and texture evolution under different conditions are presented to illustrate the capabilities of the different models. Lastly, current challenges and future research directionsmore » in this field are summarized.« less

Authors:
 [1]; ORCiD logo [2];  [1]
  1. IMDEA Materials Institute, Madrid (Spain); Polytechnic Univ. of Madrid, Madrid (Spain)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1480031
Report Number(s):
LA-UR-18-23540
Journal ID: ISSN 0065-2156
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Advances in Applied Mechanics
Additional Journal Information:
Journal Volume: in press; Journal Issue: 0; Journal ID: ISSN 0065-2156
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Homogenization theory; Crystalline solids; Multiscale modeling; Crystal plasticity

Citation Formats

Segurado, Javier, Lebensohn, Ricardo A., and Llorca, Javier. Computational Homogenization of Polycrystals. United States: N. p., 2018. Web. doi:10.1016/bs.aams.2018.07.001.
Segurado, Javier, Lebensohn, Ricardo A., & Llorca, Javier. Computational Homogenization of Polycrystals. United States. doi:10.1016/bs.aams.2018.07.001.
Segurado, Javier, Lebensohn, Ricardo A., and Llorca, Javier. Wed . "Computational Homogenization of Polycrystals". United States. doi:10.1016/bs.aams.2018.07.001. https://www.osti.gov/servlets/purl/1480031.
@article{osti_1480031,
title = {Computational Homogenization of Polycrystals},
author = {Segurado, Javier and Lebensohn, Ricardo A. and Llorca, Javier},
abstractNote = {This paper reviews the current state of the art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modeling strategy are presented in detail starting with the parameters needed to describe polycrystalline microstructures and the digital representation of such microstructures in a suitable format to perform computational homogenization. The different crystal plasticity frameworks that can describe the physical mechanisms of deformation in single crystals (dislocation slip and twinning) at the microscopic level are presented next. This is followed by the description of computational homogenization methods based on mean-field approximations by means of the viscoplastic self-consistent approach, or on the full-field simulation of the mechanical response of a representative polycrystalline volume element by means of the finite element method or the fast Fourier transform-based method. Multiscale frameworks based on the combination of mean-field homogenization and the finite element method are presented next to model the plastic deformation of polycrystalline specimens of arbitrary geometry under complex mechanical loading. Examples of application to predict the strength, fatigue life, damage, and texture evolution under different conditions are presented to illustrate the capabilities of the different models. Lastly, current challenges and future research directions in this field are summarized.},
doi = {10.1016/bs.aams.2018.07.001},
journal = {Advances in Applied Mechanics},
number = 0,
volume = in press,
place = {United States},
year = {2018},
month = {10}
}

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Cited by: 8 works
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Figures / Tables:

Fig. 1 Fig. 1: Digital representations of an RVE of a polycrystal. (A) Voxel-based representation and (B) Voronoi-based representation.

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Works referencing / citing this record:

On the accuracy of spectral solvers for micromechanics based fatigue modeling
journal, July 2018