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Article: An integral equation approach to the inclusion-crack interactions in three-dimensional infinite elastic domain

TitleAn integral equation approach to the inclusion-crack interactions in three-dimensional infinite elastic domain
Authors
KeywordsCracks
Inclusions
Integral equation method
Three dimensions
Issue Date2002
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00466/index.htm
Citation
Computational Mechanics, 2002, v. 29 n. 4-5, p. 313-321 How to Cite?
AbstractIn this paper, an integral equation method to the inclusion-crack interaction problem in three-dimensional elastic medium is presented. The method is implemented following the idea that displacement integral equation is used at the source points situated in the inclusions, whereas stress integral equation is applied to source points along crack surfaces. The displacement and stress integral equations only contain unknowns in displacement (in inclusions) and displacement discontinuity (along cracks). The hypersingular integrals appearing in stress integral equation are analytically transferred to line integrals (for plane cracks) which are at most weakly singular. Finite elements are adopted to discretize the inclusions into isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements and the crack surfaces are decomposed into discontinuous quadratic quadrilateral elements. Special crack tip elements are used to simulate the √r variation of displacements near the crack front. The stress intensity factors along the crack front are calculated. Numerical results are compared with other available methods.
Persistent Identifierhttp://hdl.handle.net/10722/71383
ISSN
2015 Impact Factor: 2.639
2015 SCImago Journal Rankings: 2.126
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorDong, CYen_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:31:30Z-
dc.date.available2010-09-06T06:31:30Z-
dc.date.issued2002en_HK
dc.identifier.citationComputational Mechanics, 2002, v. 29 n. 4-5, p. 313-321en_HK
dc.identifier.issn0178-7675en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71383-
dc.description.abstractIn this paper, an integral equation method to the inclusion-crack interaction problem in three-dimensional elastic medium is presented. The method is implemented following the idea that displacement integral equation is used at the source points situated in the inclusions, whereas stress integral equation is applied to source points along crack surfaces. The displacement and stress integral equations only contain unknowns in displacement (in inclusions) and displacement discontinuity (along cracks). The hypersingular integrals appearing in stress integral equation are analytically transferred to line integrals (for plane cracks) which are at most weakly singular. Finite elements are adopted to discretize the inclusions into isoparametric quadratic 10-node tetrahedral or 20-node hexahedral elements and the crack surfaces are decomposed into discontinuous quadratic quadrilateral elements. Special crack tip elements are used to simulate the √r variation of displacements near the crack front. The stress intensity factors along the crack front are calculated. Numerical results are compared with other available methods.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00466/index.htmen_HK
dc.relation.ispartofComputational Mechanicsen_HK
dc.subjectCracksen_HK
dc.subjectInclusionsen_HK
dc.subjectIntegral equation methoden_HK
dc.subjectThree dimensionsen_HK
dc.titleAn integral equation approach to the inclusion-crack interactions in three-dimensional infinite elastic domainen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0178-7675&volume=29&issue=4-5&spage=313&epage=321&date=2002&atitle=An+integral+equation+approach+to+the+inclusion-crack+interactions+in+three-dimensional+infinite+elastic+domainen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s00466-002-0344-9en_HK
dc.identifier.scopuseid_2-s2.0-0036814870en_HK
dc.identifier.hkuros76153en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0036814870&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume29en_HK
dc.identifier.issue4-5en_HK
dc.identifier.spage313en_HK
dc.identifier.epage321en_HK
dc.identifier.isiWOS:000179330100005-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridDong, CY=14031303000en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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