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dc.contributor.authorBabuška, Ivo
dc.contributor.authorMotamed, Mohammad
dc.contributor.authorTempone, Raul
dc.date.accessioned2015-06-18T07:23:57Z
dc.date.available2015-06-18T07:23:57Z
dc.date.issued2014-03-22
dc.identifier.citationA stochastic multiscale method for the elastodynamic wave equation arising from fiber composites 2014, 276:190 Computer Methods in Applied Mechanics and Engineering
dc.identifier.issn00457825
dc.identifier.doi10.1016/j.cma.2014.02.018
dc.identifier.urihttp://hdl.handle.net/10754/557208
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.
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0045782514000759
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.2014.02.018
dc.subjectFiber composites
dc.subjectMultiscale simulation
dc.subjectStochastic elastic wave equation
dc.subjectUncertainty quantification
dc.titleA stochastic multiscale method for the elastodynamic wave equation arising from fiber composites
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentSRI Uncertainty Quantification Center
dc.contributor.departmentStochastic Numerics Research Group
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
dc.eprint.versionPost-print
dc.contributor.institutionInstitute for Computational Engineering and Sciences, The University of Texas at Austin, USA
dc.contributor.institutionDepartment of Mathematics and Statistics, The University of New Mexico, USA
kaust.personTempone, Raul
refterms.dateFOA2016-03-21T00:00:00Z
dc.date.published-online2014-03-22
dc.date.published-print2014-07


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