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:
-
- 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. https://doi.org/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. https://doi.org/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 = {Wed Jul 20 00:00:00 EDT 2016},
month = {Wed Jul 20 00:00:00 EDT 2016}
}
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Works referencing / citing this record:
Modeling mechanical behavior of an additively manufactured metal structure with local texture variations: a study on model form error
journal, January 2019
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