A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites

Handle URI:
http://hdl.handle.net/10754/557208
Title:
A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites
Authors:
Babuška, Ivo; Motamed, Mohammad; Tempone, Raul ( 0000-0003-1967-4446 )
Abstract:
We present a stochastic multilevel global–local algorithm for computing elastic waves propagating in fiber-reinforced composite materials. Here, the materials properties and the size and location of fibers may be random. The method aims at approximating statistical moments of some given quantities of interest, such as stresses, in regions of relatively small size, e.g. hot spots or zones that are deemed vulnerable to failure. For a fiber-reinforced cross-plied laminate, we introduce three problems (macro, meso, micro) corresponding to the three natural scales, namely the sizes of laminate, ply, and fiber. The algorithm uses the homogenized global solution to construct a good local approximation that captures the microscale features of the real solution. We perform numerical experiments to show the applicability and efficiency of the method.
KAUST Department:
SRI Uncertainty Quantification Center
Citation:
A stochastic multiscale method for the elastodynamic wave equation arising from fiber composites 2014, 276:190 Computer Methods in Applied Mechanics and Engineering
Publisher:
Elsevier BV
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
21-Mar-2014
DOI:
10.1016/j.cma.2014.02.018
Type:
Article
ISSN:
00457825
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0045782514000759
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorBabuška, Ivoen
dc.contributor.authorMotamed, Mohammaden
dc.contributor.authorTempone, Raulen
dc.date.accessioned2015-06-18T07:23:57Zen
dc.date.available2015-06-18T07:23:57Zen
dc.date.issued2014-03-21en
dc.identifier.citationA stochastic multiscale method for the elastodynamic wave equation arising from fiber composites 2014, 276:190 Computer Methods in Applied Mechanics and Engineeringen
dc.identifier.issn00457825en
dc.identifier.doi10.1016/j.cma.2014.02.018en
dc.identifier.urihttp://hdl.handle.net/10754/557208en
dc.description.abstractWe present a stochastic multilevel global–local algorithm for computing elastic waves propagating in fiber-reinforced composite materials. Here, the materials properties and the size and location of fibers may be random. The method aims at approximating statistical moments of some given quantities of interest, such as stresses, in regions of relatively small size, e.g. hot spots or zones that are deemed vulnerable to failure. For a fiber-reinforced cross-plied laminate, we introduce three problems (macro, meso, micro) corresponding to the three natural scales, namely the sizes of laminate, ply, and fiber. The algorithm uses the homogenized global solution to construct a good local approximation that captures the microscale features of the real solution. We perform numerical experiments to show the applicability and efficiency of the method.en
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0045782514000759en
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, 21 March 2014. DOI: 10.1016/j.cma.2014.02.018en
dc.subjectFiber compositesen
dc.subjectMultiscale simulationen
dc.subjectStochastic elastic wave equationen
dc.subjectUncertainty quantificationen
dc.titleA stochastic multiscale method for the elastodynamic wave equation arising from fiber compositesen
dc.typeArticleen
dc.contributor.departmentSRI Uncertainty Quantification Centeren
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.eprint.versionPost-printen
dc.contributor.institutionInstitute for Computational Engineering and Sciences, The University of Texas at Austin, USAen
dc.contributor.institutionDepartment of Mathematics and Statistics, The University of New Mexico, USAen
kaust.authorTempone, Raulen
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