Coupling of nonlocal and local continuum models by the Arlequinapproach

Handle URI:
http://hdl.handle.net/10754/561838
Title:
Coupling of nonlocal and local continuum models by the Arlequinapproach
Authors:
Han, Fei ( 0000-0002-8050-3657 ) ; Lubineau, Gilles ( 0000-0002-7370-6093 )
Abstract:
The objective of this work is to develop and apply the Arlequin framework to couple nonlocal and local continuum mechanical models. A mechanically-based model of nonlocal elasticity, which involves both contact and long-range forces, is used for the 'fine scale' description in which nonlocal interactions are considered to have non-negligible effects. Classical continuum mechanics only involving local contact forces is introduced for the rest of the structure where these nonlocal effects can be neglected. Both models overlap in a coupling subdomain called the 'gluing area' in which the total energy is separated into nonlocal and local contributions by complementary weight functions. A weak compatibility is ensured between kinematics of both models using Lagrange multipliers over the gluing area. The discrete formulation of this specific Arlequin coupling framework is derived and fully described. The validity and limits of the technique are demonstrated through two-dimensional numerical applications and results are compared against those of the fully nonlocal elasticity method. © 2011 John Wiley & Sons, Ltd.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program; Composite and Heterogeneous Material Analysis and Simulation Laboratory (COHMAS)
Publisher:
Wiley-Blackwell
Journal:
International Journal for Numerical Methods in Engineering
Issue Date:
9-Aug-2011
DOI:
10.1002/nme.3255
Type:
Article
ISSN:
00295981
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Mechanical Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorHan, Feien
dc.contributor.authorLubineau, Gillesen
dc.date.accessioned2015-08-03T09:32:08Zen
dc.date.available2015-08-03T09:32:08Zen
dc.date.issued2011-08-09en
dc.identifier.issn00295981en
dc.identifier.doi10.1002/nme.3255en
dc.identifier.urihttp://hdl.handle.net/10754/561838en
dc.description.abstractThe objective of this work is to develop and apply the Arlequin framework to couple nonlocal and local continuum mechanical models. A mechanically-based model of nonlocal elasticity, which involves both contact and long-range forces, is used for the 'fine scale' description in which nonlocal interactions are considered to have non-negligible effects. Classical continuum mechanics only involving local contact forces is introduced for the rest of the structure where these nonlocal effects can be neglected. Both models overlap in a coupling subdomain called the 'gluing area' in which the total energy is separated into nonlocal and local contributions by complementary weight functions. A weak compatibility is ensured between kinematics of both models using Lagrange multipliers over the gluing area. The discrete formulation of this specific Arlequin coupling framework is derived and fully described. The validity and limits of the technique are demonstrated through two-dimensional numerical applications and results are compared against those of the fully nonlocal elasticity method. © 2011 John Wiley & Sons, Ltd.en
dc.publisherWiley-Blackwellen
dc.subjectArlequin methoden
dc.subjectMultimodelen
dc.subjectMultiscaleen
dc.subjectNonlocal continuumen
dc.titleCoupling of nonlocal and local continuum models by the Arlequinapproachen
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.journalInternational Journal for Numerical Methods in Engineeringen
kaust.authorHan, Feien
kaust.authorLubineau, Gillesen
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