Reconsidering the boundary conditions for a dynamic, transient mode I crack problem

Handle URI:
http://hdl.handle.net/10754/599465
Title:
Reconsidering the boundary conditions for a dynamic, transient mode I crack problem
Authors:
Leise, Tanya; Walton, Jay; Gorb, Yuliya
Abstract:
A careful examination of a dynamic mode I crack problem leads to the conclusion that the commonly used boundary conditions do not always hold in the case of an applied crack face loading, so that a modification is required to satisfy the equations. In particular, a transient compressive stress wave travels along the crack faces, moving outward from the loading region on the crack face. This does not occur in the quasistatic or steady state problems, and is a special feature of the transient dynamic problem that is important during the time interval immediately following the application of crack face loading. We demonstrate why the usual boundary conditions lead to a prediction of crack face interpenetration, and then examine how to modify the boundary condition for a semi-infinite crack with a cohesive zone. Numerical simulations illustrate the resulting approach.
Citation:
Leise T, Walton J, Gorb Y (2008) Reconsidering the boundary conditions for a dynamic, transient mode I crack problem. Journal of Mechanics of Materials and Structures 3: 1797–1807. Available: http://dx.doi.org/10.2140/jomms.2008.3.1797.
Publisher:
Mathematical Sciences Publishers
Journal:
Journal of Mechanics of Materials and Structures
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
1-Nov-2008
DOI:
10.2140/jomms.2008.3.1797
Type:
Article
ISSN:
1559-3959
Sponsors:
This work was supported in part by the Army Research Laboratory under contract number W911NF-04-2-00-11 and in part by award number KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
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Full metadata record

DC FieldValue Language
dc.contributor.authorLeise, Tanyaen
dc.contributor.authorWalton, Jayen
dc.contributor.authorGorb, Yuliyaen
dc.date.accessioned2016-02-28T05:51:39Zen
dc.date.available2016-02-28T05:51:39Zen
dc.date.issued2008-11-01en
dc.identifier.citationLeise T, Walton J, Gorb Y (2008) Reconsidering the boundary conditions for a dynamic, transient mode I crack problem. Journal of Mechanics of Materials and Structures 3: 1797–1807. Available: http://dx.doi.org/10.2140/jomms.2008.3.1797.en
dc.identifier.issn1559-3959en
dc.identifier.doi10.2140/jomms.2008.3.1797en
dc.identifier.urihttp://hdl.handle.net/10754/599465en
dc.description.abstractA careful examination of a dynamic mode I crack problem leads to the conclusion that the commonly used boundary conditions do not always hold in the case of an applied crack face loading, so that a modification is required to satisfy the equations. In particular, a transient compressive stress wave travels along the crack faces, moving outward from the loading region on the crack face. This does not occur in the quasistatic or steady state problems, and is a special feature of the transient dynamic problem that is important during the time interval immediately following the application of crack face loading. We demonstrate why the usual boundary conditions lead to a prediction of crack face interpenetration, and then examine how to modify the boundary condition for a semi-infinite crack with a cohesive zone. Numerical simulations illustrate the resulting approach.en
dc.description.sponsorshipThis work was supported in part by the Army Research Laboratory under contract number W911NF-04-2-00-11 and in part by award number KUS-C1-016-04 made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherMathematical Sciences Publishersen
dc.subjectBoundary conditionsen
dc.subjectDirichlet-to-Neumann mapen
dc.subjectOpening mode cracken
dc.subjectTransient fracture analysisen
dc.titleReconsidering the boundary conditions for a dynamic, transient mode I crack problemen
dc.typeArticleen
dc.identifier.journalJournal of Mechanics of Materials and Structuresen
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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