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Title: Quantifying the impact of material-model error on macroscale quantities-of-interest using multiscale a posteriori error-estimation techniques

Abstract

An a posteriori error-estimation framework is introduced to quantify and reduce modeling errors resulting from approximating complex mesoscale material behavior with a simpler macroscale model. Such errors may be prevalent when modeling welds and additively manufactured structures, where spatial variations and material textures may be present in the microstructure. We consider a case where a <100> fiber texture develops in the longitudinal scanning direction of a weld. Transversely isotropic elastic properties are obtained through homogenization of a microstructural model with this texture and are considered the reference weld properties within the error-estimation framework. Conversely, isotropic elastic properties are considered approximate weld properties since they contain no representation of texture. Errors introduced by using isotropic material properties to represent a weld are assessed through a quantified error bound in the elastic regime. Lastly, an adaptive error reduction scheme is used to determine the optimal spatial variation of the isotropic weld properties to reduce the error bound.

Authors:
 [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (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:
1326365
Report Number(s):
SAND-2016-5838J
Journal ID: ISSN 2059-8521; applab; 642226
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
MRS Advances
Additional Journal Information:
Journal Name: MRS Advances; Journal ID: ISSN 2059-8521
Publisher:
Materials Research Society (MRS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; texture; welding; elastic properties

Citation Formats

Brown, Judith A., and Bishop, Joseph E. Quantifying the impact of material-model error on macroscale quantities-of-interest using multiscale a posteriori error-estimation techniques. United States: N. p., 2016. Web. doi:10.1557/adv.2016.524.
Brown, Judith A., & Bishop, Joseph E. Quantifying the impact of material-model error on macroscale quantities-of-interest using multiscale a posteriori error-estimation techniques. United States. doi:10.1557/adv.2016.524.
Brown, Judith A., and Bishop, Joseph E. Wed . "Quantifying the impact of material-model error on macroscale quantities-of-interest using multiscale a posteriori error-estimation techniques". United States. doi:10.1557/adv.2016.524. https://www.osti.gov/servlets/purl/1326365.
@article{osti_1326365,
title = {Quantifying the impact of material-model error on macroscale quantities-of-interest using multiscale a posteriori error-estimation techniques},
author = {Brown, Judith A. and Bishop, Joseph E.},
abstractNote = {An a posteriori error-estimation framework is introduced to quantify and reduce modeling errors resulting from approximating complex mesoscale material behavior with a simpler macroscale model. Such errors may be prevalent when modeling welds and additively manufactured structures, where spatial variations and material textures may be present in the microstructure. We consider a case where a <100> fiber texture develops in the longitudinal scanning direction of a weld. Transversely isotropic elastic properties are obtained through homogenization of a microstructural model with this texture and are considered the reference weld properties within the error-estimation framework. Conversely, isotropic elastic properties are considered approximate weld properties since they contain no representation of texture. Errors introduced by using isotropic material properties to represent a weld are assessed through a quantified error bound in the elastic regime. Lastly, an adaptive error reduction scheme is used to determine the optimal spatial variation of the isotropic weld properties to reduce the error bound.},
doi = {10.1557/adv.2016.524},
journal = {MRS Advances},
number = ,
volume = ,
place = {United States},
year = {2016},
month = {7}
}

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