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Title: Predicting laser weld reliability with stochastic reduced-order models. Predicting laser weld reliability

Abstract

Summary Laser welds are prevalent in complex engineering systems and they frequently govern failure. The weld process often results in partial penetration of the base metals, leaving sharp crack‐like features with a high degree of variability in the geometry and material properties of the welded structure. Accurate finite element predictions of the structural reliability of components containing laser welds requires the analysis of a large number of finite element meshes with very fine spatial resolution, where each mesh has different geometry and/or material properties in the welded region to address variability. Traditional modeling approaches cannot be efficiently employed. To this end, a method is presented for constructing a surrogate model, based on stochastic reduced‐order models, and is proposed to represent the laser welds within the component. Here, the uncertainty in weld microstructure and geometry is captured by calibrating plasticity parameters to experimental observations of necking as, because of the ductility of the welds, necking – and thus peak load – plays the pivotal role in structural failure. The proposed method is exercised for a simplified verification problem and compared with the traditional Monte Carlo simulation with rather remarkable results. Copyright © 2015 John Wiley & Sons, Ltd.

Authors:
 [1];  [1];  [2];  [2];  [3]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Sandia National Lab. (SNL-CA), Livermore, CA (United States)
  3. Cornell Univ., Ithaca, NY (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:
1140327
Alternate Identifier(s):
OSTI ID: 1400915
Report Number(s):
SAND-2014-1043J
Journal ID: ISSN 0029-5981; 499015
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical Methods in Engineering
Additional Journal Information:
Journal Volume: 103; Journal Issue: 12; Related Information: Proposed for publication in International Journal of Solids and Structures.; Journal ID: ISSN 0029-5981
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 42 ENGINEERING; laser welds; structural reliability; stochastic reduced-order models; monte carlo simulation

Citation Formats

Emery, John M., Field, Richard V., Foulk, James W., Karlson, Kyle N., and Grigoriu, Mircea D. Predicting laser weld reliability with stochastic reduced-order models. Predicting laser weld reliability. United States: N. p., 2015. Web. doi:10.1002/nme.4935.
Emery, John M., Field, Richard V., Foulk, James W., Karlson, Kyle N., & Grigoriu, Mircea D. Predicting laser weld reliability with stochastic reduced-order models. Predicting laser weld reliability. United States. https://doi.org/10.1002/nme.4935
Emery, John M., Field, Richard V., Foulk, James W., Karlson, Kyle N., and Grigoriu, Mircea D. Tue . "Predicting laser weld reliability with stochastic reduced-order models. Predicting laser weld reliability". United States. https://doi.org/10.1002/nme.4935. https://www.osti.gov/servlets/purl/1140327.
@article{osti_1140327,
title = {Predicting laser weld reliability with stochastic reduced-order models. Predicting laser weld reliability},
author = {Emery, John M. and Field, Richard V. and Foulk, James W. and Karlson, Kyle N. and Grigoriu, Mircea D.},
abstractNote = {Summary Laser welds are prevalent in complex engineering systems and they frequently govern failure. The weld process often results in partial penetration of the base metals, leaving sharp crack‐like features with a high degree of variability in the geometry and material properties of the welded structure. Accurate finite element predictions of the structural reliability of components containing laser welds requires the analysis of a large number of finite element meshes with very fine spatial resolution, where each mesh has different geometry and/or material properties in the welded region to address variability. Traditional modeling approaches cannot be efficiently employed. To this end, a method is presented for constructing a surrogate model, based on stochastic reduced‐order models, and is proposed to represent the laser welds within the component. Here, the uncertainty in weld microstructure and geometry is captured by calibrating plasticity parameters to experimental observations of necking as, because of the ductility of the welds, necking – and thus peak load – plays the pivotal role in structural failure. The proposed method is exercised for a simplified verification problem and compared with the traditional Monte Carlo simulation with rather remarkable results. Copyright © 2015 John Wiley & Sons, Ltd.},
doi = {10.1002/nme.4935},
journal = {International Journal for Numerical Methods in Engineering},
number = 12,
volume = 103,
place = {United States},
year = {Tue May 26 00:00:00 EDT 2015},
month = {Tue May 26 00:00:00 EDT 2015}
}

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Works referenced in this record:

Stochastic reduced order models for random vectors: Application to random eigenvalue problems
journal, January 2013


Translation vectors with non-identically distributed components
journal, April 2005


Quantitative characterization of porosity in laser welds of stainless steel
journal, November 2012


The constitutive behavior of laser welds in 304L stainless steel determined by digital image correlation
journal, August 2006

  • Boyce, B. L.; Reu, P. L.; Robino, C. V.
  • Metallurgical and Materials Transactions A, Vol. 37, Issue 8
  • DOI: 10.1007/BF02586221

Validation of a model for static and dynamic recrystallization in metals
journal, May 2012


A Short Review on Model Order Reduction Based on Proper Generalized Decomposition
journal, October 2011

  • Chinesta, Francisco; Ladeveze, Pierre; Cueto, Elías
  • Archives of Computational Methods in Engineering, Vol. 18, Issue 4
  • DOI: 10.1007/s11831-011-9064-7

Laser microwelding
book, January 2008

  • Miyamoto, I.; Knorovsky, G. A.
  • Microjoining and Nanojoining: Woodhead Publishing Series in Welding and Other Joining Technologies
  • DOI: 10.1533/9781845694043.2.345

A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
journal, January 2007

  • Babuška, Ivo; Nobile, Fabio; Tempone, Raúl
  • SIAM Journal on Numerical Analysis, Vol. 45, Issue 3
  • DOI: 10.1137/050645142

Model selection for a class of stochastic processes or random fields with bounded range
journal, July 2009


Response Statistics for Random Heterogeneous Microstructures
journal, January 2014

  • Grigoriu, M.
  • SIAM/ASA Journal on Uncertainty Quantification, Vol. 2, Issue 1
  • DOI: 10.1137/130921490

A method for solving stochastic equations by reduced order models and local approximations
journal, August 2012


A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
journal, January 2008

  • Nobile, F.; Tempone, R.; Webster, C. G.
  • SIAM Journal on Numerical Analysis, Vol. 46, Issue 5
  • DOI: 10.1137/060663660

Reduced order models for random functions. Application to stochastic problems
journal, January 2009


Linear random vibration by stochastic reduced-order models: LINEAR RANDOM VIBRATION
journal, December 2009

  • Grigoriu, Mircea
  • International Journal for Numerical Methods in Engineering, Vol. 82, Issue 12
  • DOI: 10.1002/nme.2809

Works referencing / citing this record:

The third Sandia fracture challenge: predictions of ductile fracture in additively manufactured metal
journal, July 2019

  • Kramer, Sharlotte L. B.; Jones, Amanda; Mostafa, Ahmed
  • International Journal of Fracture, Vol. 218, Issue 1-2
  • DOI: 10.1007/s10704-019-00361-1