A morphing approach to couple state-based peridynamics with classical continuum mechanics

Handle URI:
http://hdl.handle.net/10754/592891
Title:
A morphing approach to couple state-based peridynamics with classical continuum mechanics
Authors:
Han, Fei ( 0000-0002-8050-3657 ) ; Lubineau, Gilles ( 0000-0002-7370-6093 ) ; Azdoud, Yan; Askari, Abe
Abstract:
A local/nonlocal coupling technique called the morphing method is developed to couple classical continuum mechanics with state-based peridynamics. State-based peridynamics, which enables the description of cracks that appear and propagate spontaneously, is applied to the key domain of a structure, where damage and fracture are considered to have non-negligible effects. In the rest of the structure, classical continuum mechanics is used to reduce computational costs and to simultaneously satisfy solution accuracy and boundary conditions. Both models are glued by the proposed morphing method in the transition region. The morphing method creates a balance between the stiffness tensors of classical continuum mechanics and the weighted coefficients of state-based peridynamics through the equivalent energy density of both models. Linearization of state-based peridynamics is derived by Taylor approximations based on vector operations. The discrete formulation of coupled models is also described. Two-dimensional numerical examples illustrate the validity and accuracy of the proposed technique. It is shown that the morphing method, originally developed for bond-based peridynamics, can be successfully extended to state-based peridynamics through the original developments presented here.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; COHMAS Laboratory
Citation:
A morphing approach to couple state-based peridynamics with classical continuum mechanics 2016 Computer Methods in Applied Mechanics and Engineering
Publisher:
Elsevier BV
Journal:
Computer Methods in Applied Mechanics and Engineering
Issue Date:
4-Jan-2016
DOI:
10.1016/j.cma.2015.12.024
Type:
Article
ISSN:
00457825
Additional Links:
http://linkinghub.elsevier.com/retrieve/pii/S0045782515004302
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorHan, Feien
dc.contributor.authorLubineau, Gillesen
dc.contributor.authorAzdoud, Yanen
dc.contributor.authorAskari, Abeen
dc.date.accessioned2016-01-06T06:20:07Zen
dc.date.available2016-01-06T06:20:07Zen
dc.date.issued2016-01-04en
dc.identifier.citationA morphing approach to couple state-based peridynamics with classical continuum mechanics 2016 Computer Methods in Applied Mechanics and Engineeringen
dc.identifier.issn00457825en
dc.identifier.doi10.1016/j.cma.2015.12.024en
dc.identifier.urihttp://hdl.handle.net/10754/592891en
dc.description.abstractA local/nonlocal coupling technique called the morphing method is developed to couple classical continuum mechanics with state-based peridynamics. State-based peridynamics, which enables the description of cracks that appear and propagate spontaneously, is applied to the key domain of a structure, where damage and fracture are considered to have non-negligible effects. In the rest of the structure, classical continuum mechanics is used to reduce computational costs and to simultaneously satisfy solution accuracy and boundary conditions. Both models are glued by the proposed morphing method in the transition region. The morphing method creates a balance between the stiffness tensors of classical continuum mechanics and the weighted coefficients of state-based peridynamics through the equivalent energy density of both models. Linearization of state-based peridynamics is derived by Taylor approximations based on vector operations. The discrete formulation of coupled models is also described. Two-dimensional numerical examples illustrate the validity and accuracy of the proposed technique. It is shown that the morphing method, originally developed for bond-based peridynamics, can be successfully extended to state-based peridynamics through the original developments presented here.en
dc.language.isoenen
dc.publisherElsevier BVen
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0045782515004302en
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, 4 January 2016. DOI: 10.1016/j.cma.2015.12.024en
dc.subjectMorphing methoden
dc.subjectState-based peridynamicsen
dc.subjectClassical continuum mechanicsen
dc.subjectCoupling methoden
dc.titleA morphing approach to couple state-based peridynamics with classical continuum mechanicsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentCOHMAS Laboratoryen
dc.identifier.journalComputer Methods in Applied Mechanics and Engineeringen
dc.eprint.versionPost-printen
dc.contributor.institutionPropulsion System Engineering, Boeing Commercial Airplane, WA, USAen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorHan, Feien
kaust.authorLubineau, Gillesen
kaust.authorAzdoud, Yanen
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