A morphing strategy to couple non-local to local continuum mechanics

Handle URI:
http://hdl.handle.net/10754/562205
Title:
A morphing strategy to couple non-local to local continuum mechanics
Authors:
Lubineau, Gilles ( 0000-0002-7370-6093 ) ; Azdoud, Yan; Han, Fei ( 0000-0002-8050-3657 ) ; Rey, Christian C.; Askari, Abe H.
Abstract:
A method for coupling non-local continuum models with long-range central forces to local continuum models is proposed. First, a single unified model that encompasses both local and non-local continuum representations is introduced. This model can be purely non-local, purely local or a hybrid depending on the constitutive parameters. Then, the coupling between the non-local and local descriptions is performed through a transition (morphing) affecting only the constitutive parameters. An important feature is the definition of the morphing functions, which relies on energy equivalence. This approach is useful in large-scale modeling of materials that exhibit strong non-local effects. The computational cost can be reduced while maintaining a reasonable level of accuracy. Efficiency, robustness and basic properties of the approach are discussed using one- and two-dimensional examples. © 2012 Elsevier Ltd.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
Publisher:
Elsevier
Journal:
Journal of the Mechanics and Physics of Solids
Issue Date:
Jun-2012
DOI:
10.1016/j.jmps.2012.02.009
Type:
Article
ISSN:
00225096
Sponsors:
Funding for this research was provided by KAUST baseline funding and by the BOEING company (agreement "Analysis methods for multifunctional composite materials in the presence of electromagnetic effect"). The authors are grateful to KAUST and the BOEING company for their financial support.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorLubineau, Gillesen
dc.contributor.authorAzdoud, Yanen
dc.contributor.authorHan, Feien
dc.contributor.authorRey, Christian C.en
dc.contributor.authorAskari, Abe H.en
dc.date.accessioned2015-08-03T09:47:14Zen
dc.date.available2015-08-03T09:47:14Zen
dc.date.issued2012-06en
dc.identifier.issn00225096en
dc.identifier.doi10.1016/j.jmps.2012.02.009en
dc.identifier.urihttp://hdl.handle.net/10754/562205en
dc.description.abstractA method for coupling non-local continuum models with long-range central forces to local continuum models is proposed. First, a single unified model that encompasses both local and non-local continuum representations is introduced. This model can be purely non-local, purely local or a hybrid depending on the constitutive parameters. Then, the coupling between the non-local and local descriptions is performed through a transition (morphing) affecting only the constitutive parameters. An important feature is the definition of the morphing functions, which relies on energy equivalence. This approach is useful in large-scale modeling of materials that exhibit strong non-local effects. The computational cost can be reduced while maintaining a reasonable level of accuracy. Efficiency, robustness and basic properties of the approach are discussed using one- and two-dimensional examples. © 2012 Elsevier Ltd.en
dc.description.sponsorshipFunding for this research was provided by KAUST baseline funding and by the BOEING company (agreement "Analysis methods for multifunctional composite materials in the presence of electromagnetic effect"). The authors are grateful to KAUST and the BOEING company for their financial support.en
dc.publisherElsevieren
dc.subjectGluingen
dc.subjectLong-range forcesen
dc.subjectMulti-scaleen
dc.subjectNon-local elasticityen
dc.subjectPeridynamicsen
dc.titleA morphing strategy to couple non-local to local continuum mechanicsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentMechanical Engineering Programen
dc.contributor.departmentComposite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)en
dc.identifier.journalJournal of the Mechanics and Physics of Solidsen
dc.contributor.institutionLMT Cachan (ENS Cachan/CNRS/UPMC/PRES UniverSud Paris), 61 Avenue du President Wilson, 94235 Cachan Cedex, Franceen
dc.contributor.institutionApplied Math Group, Boeing Company Seattle, WA, United Statesen
kaust.authorLubineau, Gillesen
kaust.authorAzdoud, Yanen
kaust.authorHan, Feien
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