A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone

Handle URI:
http://hdl.handle.net/10754/597223
Title:
A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone
Authors:
Leise, Tanya L.; Walton, Jay R.; Gorb, Yuliya
Abstract:
We consider the problem of the dynamic, transient propagation of a semi-infinite, mode I crack in an infinite elastic body with a nonlinear, viscoelastic cohesize zone. Our problem formulation includes boundary conditions that preclude crack face interpenetration, in contrast to the usual mode I boundary conditions that assume all unloaded crack faces are stress-free. The nonlinear viscoelastic cohesive zone behavior is motivated by dynamic fracture in brittle polymers in which crack propagation is preceeded by significant crazing in a thin region surrounding the crack tip. We present a combined analytical/numerical solution method that involves reducing the problem to a Dirichlet-to-Neumann map along the crack face plane, resulting in a differo-integral equation relating the displacement and stress along the crack faces and within the cohesive zone. © 2009 Springer Science+Business Media B.V.
Citation:
Leise TL, Walton JR, Gorb Y (2009) A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone. International Journal of Fracture 162: 69–76. Available: http://dx.doi.org/10.1007/s10704-009-9385-9.
Publisher:
Springer Nature
Journal:
International Journal of Fracture
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
19-Aug-2009
DOI:
10.1007/s10704-009-9385-9
Type:
Article
ISSN:
0376-9429; 1573-2673
Sponsors:
This work was supported in part by the Army ResearchLaboratory under contract number W911NF-04-2-00-11 and inpart by award number KUS-C1-016-04 made by King AbdullahUniversity of Science and Technology (KAUST).
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorLeise, Tanya L.en
dc.contributor.authorWalton, Jay R.en
dc.contributor.authorGorb, Yuliyaen
dc.date.accessioned2016-02-25T12:28:18Zen
dc.date.available2016-02-25T12:28:18Zen
dc.date.issued2009-08-19en
dc.identifier.citationLeise TL, Walton JR, Gorb Y (2009) A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone. International Journal of Fracture 162: 69–76. Available: http://dx.doi.org/10.1007/s10704-009-9385-9.en
dc.identifier.issn0376-9429en
dc.identifier.issn1573-2673en
dc.identifier.doi10.1007/s10704-009-9385-9en
dc.identifier.urihttp://hdl.handle.net/10754/597223en
dc.description.abstractWe consider the problem of the dynamic, transient propagation of a semi-infinite, mode I crack in an infinite elastic body with a nonlinear, viscoelastic cohesize zone. Our problem formulation includes boundary conditions that preclude crack face interpenetration, in contrast to the usual mode I boundary conditions that assume all unloaded crack faces are stress-free. The nonlinear viscoelastic cohesive zone behavior is motivated by dynamic fracture in brittle polymers in which crack propagation is preceeded by significant crazing in a thin region surrounding the crack tip. We present a combined analytical/numerical solution method that involves reducing the problem to a Dirichlet-to-Neumann map along the crack face plane, resulting in a differo-integral equation relating the displacement and stress along the crack faces and within the cohesive zone. © 2009 Springer Science+Business Media B.V.en
dc.description.sponsorshipThis work was supported in part by the Army ResearchLaboratory under contract number W911NF-04-2-00-11 and inpart by award number KUS-C1-016-04 made by King AbdullahUniversity of Science and Technology (KAUST).en
dc.publisherSpringer Natureen
dc.subjectCohesive zoneen
dc.subjectDynamic fractureen
dc.subjectViscoelasticen
dc.titleA boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zoneen
dc.typeArticleen
dc.identifier.journalInternational Journal of Fractureen
dc.contributor.institutionAmherst College, Amherst, United Statesen
dc.contributor.institutionTexas A and M University, College Station, United Statesen
kaust.grant.numberKUS-C1-016-04en
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