The morphing method as a flexible tool for adaptive local/non-local simulation of static fracture

Handle URI:
http://hdl.handle.net/10754/566178
Title:
The morphing method as a flexible tool for adaptive local/non-local simulation of static fracture
Authors:
Azdoud, Yan; Han, Fei ( 0000-0002-8050-3657 ) ; Lubineau, Gilles ( 0000-0002-7370-6093 )
Abstract:
We introduce a framework that adapts local and non-local continuum models to simulate static fracture problems. Non-local models based on the peridynamic theory are promising for the simulation of fracture, as they allow discontinuities in the displacement field. However, they remain computationally expensive. As an alternative, we develop an adaptive coupling technique based on the morphing method to restrict the non-local model adaptively during the evolution of the fracture. The rest of the structure is described by local continuum mechanics. We conduct all simulations in three dimensions, using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite element method in the peridynamic domain and the continuous finite element method in the local continuum mechanics domain. © 2014 Springer-Verlag Berlin Heidelberg.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Publisher:
Springer Nature
Journal:
Computational Mechanics
Issue Date:
19-Apr-2014
DOI:
10.1007/s00466-014-1023-3
Type:
Article
ISSN:
01787675
Sponsors:
The authors gratefully acknowledge the financial support received from KAUST baseline and the Boeing Company for the completion of this work.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAzdoud, Yanen
dc.contributor.authorHan, Feien
dc.contributor.authorLubineau, Gillesen
dc.date.accessioned2015-08-12T09:31:18Zen
dc.date.available2015-08-12T09:31:18Zen
dc.date.issued2014-04-19en
dc.identifier.issn01787675en
dc.identifier.doi10.1007/s00466-014-1023-3en
dc.identifier.urihttp://hdl.handle.net/10754/566178en
dc.description.abstractWe introduce a framework that adapts local and non-local continuum models to simulate static fracture problems. Non-local models based on the peridynamic theory are promising for the simulation of fracture, as they allow discontinuities in the displacement field. However, they remain computationally expensive. As an alternative, we develop an adaptive coupling technique based on the morphing method to restrict the non-local model adaptively during the evolution of the fracture. The rest of the structure is described by local continuum mechanics. We conduct all simulations in three dimensions, using the relevant discretization scheme in each domain, i.e., the discontinuous Galerkin finite element method in the peridynamic domain and the continuous finite element method in the local continuum mechanics domain. © 2014 Springer-Verlag Berlin Heidelberg.en
dc.description.sponsorshipThe authors gratefully acknowledge the financial support received from KAUST baseline and the Boeing Company for the completion of this work.en
dc.publisherSpringer Natureen
dc.subjectAnisotropyen
dc.subjectCouplingen
dc.subjectDGFEMen
dc.subjectMorphingen
dc.subjectNon-local elasticityen
dc.subjectPeridynamicsen
dc.subjectStatic fractureen
dc.titleThe morphing method as a flexible tool for adaptive local/non-local simulation of static fractureen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalComputational Mechanicsen
kaust.authorAzdoud, Yanen
kaust.authorHan, Feien
kaust.authorLubineau, Gillesen
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