skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Journal Article · · MRS Advances
DOI:https://doi.org/10.1557/adv.2016.524· OSTI ID:1326365
 [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

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.

Research Organization:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1326365
Report Number(s):
SAND-2016-5838J; applab; 642226
Journal Information:
MRS Advances, Journal Name: MRS Advances; ISSN 2059-8521
Publisher:
Materials Research Society (MRS)Copyright Statement
Country of Publication:
United States
Language:
English

References (13)

Energy input effect on morphology and microstructure of selective laser melting single track from metallic powder journal April 2013
Modeling error and adaptivity in nonlinear continuum mechanics journal October 2001
Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials journal September 2001
Evolution of solidification texture during additive manufacturing journal November 2015
Hardened austenite steel with columnar sub-grain structure formed by laser melting journal February 2015
Estimation of Local Modeling Error and Goal-Oriented Adaptive Modeling of Heterogeneous Materials journal October 2000
Effect of heat input on the microstructure, residual stresses and corrosion resistance of 304L austenitic stainless steel weldments journal July 2014
Texture of welded joints of 316L stainless steel, multi-scale orientation analysis of a weld metal deposit journal January 2000
Hierarchical modeling of heterogeneous bodies journal December 1996
Multi-scale goal-oriented adaptive modeling of random heterogeneous materials journal August 2006
Estimation of Modeling Error in Computational Mechanics journal November 2002
Direct numerical simulations in solid mechanics for understanding the macroscale effects of microscale material variability journal April 2015
Monocrystal-Polycrystal Elastic Constants of a Stainless Steel journal September 1984

Cited By (1)

Modeling mechanical behavior of an additively manufactured metal structure with local texture variations: a study on model form error journal January 2019

Similar Records

Direct numerical simulations in solid mechanics for quantifying the macroscale effects of microstructure and material model-form error
Journal Article · Wed Mar 16 00:00:00 EDT 2016 · JOM. Journal of the Minerals, Metals & Materials Society · OSTI ID:1326365

Adaptive reduction of constitutive model-form error using a posteriori error estimation techniques
Journal Article · Fri Jun 15 00:00:00 EDT 2018 · Computer Methods in Applied Mechanics and Engineering · OSTI ID:1326365

Modeling mechanical behavior of an additively manufactured metal structure with local texture variations: a study on model form error
Journal Article · Mon Jan 07 00:00:00 EST 2019 · Modelling and Simulation in Materials Science and Engineering · OSTI ID:1326365