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Article: Numerical solutions of two-dimensional anisotropic crack problems

TitleNumerical solutions of two-dimensional anisotropic crack problems
Authors
KeywordsAnisotropic
Crack
Eigenfunction expansion
Fractal
Global interpolation
Higher order terms
Stress intensity factor
Two-level
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstr
Citation
International Journal Of Solids And Structures, 2003, v. 40 n. 18, p. 4615-4635 How to Cite?
AbstractA complete set of series form solutions of stress and displacement functions, including all higher order terms, around the crack tip for anisotropic crack problems have been newly derived by eigenfunction expansion approach. The analytical solutions of displacement functions were classified into four cases with respect to different types of complex parameters and different corresponding physical meanings. By employing these displacement functions as global interpolation functions, fractal two-level finite element method (F2LFEM) was applied to evaluate the stress intensity factors (SIFs) for various kinds of anisotropic crack problems. In the method of F2LFEM, the infinite number of nodal displacements was transformed to a small set of generalized coordinates by fractal transformation technique. New element matrices need not be generated and the singular numerical integration was avoided completely. Numerical examples of the four cases were studied and high accurate results of SIFs were obtained. © 2003 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/48542
ISSN
2015 Impact Factor: 2.081
2015 SCImago Journal Rankings: 1.597
ISI Accession Number ID
References
Grants

 

DC FieldValueLanguage
dc.contributor.authorSu, RKLen_HK
dc.contributor.authorSun, HYen_HK
dc.date.accessioned2008-05-22T04:16:41Z-
dc.date.available2008-05-22T04:16:41Z-
dc.date.issued2003en_HK
dc.identifier.citationInternational Journal Of Solids And Structures, 2003, v. 40 n. 18, p. 4615-4635en_HK
dc.identifier.issn0020-7683en_HK
dc.identifier.urihttp://hdl.handle.net/10722/48542-
dc.description.abstractA complete set of series form solutions of stress and displacement functions, including all higher order terms, around the crack tip for anisotropic crack problems have been newly derived by eigenfunction expansion approach. The analytical solutions of displacement functions were classified into four cases with respect to different types of complex parameters and different corresponding physical meanings. By employing these displacement functions as global interpolation functions, fractal two-level finite element method (F2LFEM) was applied to evaluate the stress intensity factors (SIFs) for various kinds of anisotropic crack problems. In the method of F2LFEM, the infinite number of nodal displacements was transformed to a small set of generalized coordinates by fractal transformation technique. New element matrices need not be generated and the singular numerical integration was avoided completely. Numerical examples of the four cases were studied and high accurate results of SIFs were obtained. © 2003 Elsevier Ltd. All rights reserved.en_HK
dc.format.extent534413 bytes-
dc.format.extent40905 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/pdf-
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/ijsolstren_HK
dc.relation.ispartofInternational Journal of Solids and Structuresen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectAnisotropicen_HK
dc.subjectCracken_HK
dc.subjectEigenfunction expansionen_HK
dc.subjectFractalen_HK
dc.subjectGlobal interpolationen_HK
dc.subjectHigher order termsen_HK
dc.subjectStress intensity factoren_HK
dc.subjectTwo-levelen_HK
dc.titleNumerical solutions of two-dimensional anisotropic crack problemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0020-7683&volume=40&issue=18&spage=4615&epage=4635&date=2003&atitle=Numerical+solutions+of+two-dimensional+anisotropic+crack+problemsen_HK
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_HK
dc.identifier.authoritySu, RKL=rp00072en_HK
dc.description.naturepostprinten_HK
dc.identifier.doi10.1016/S0020-7683(03)00310-Xen_HK
dc.identifier.scopuseid_2-s2.0-0041302525en_HK
dc.identifier.hkuros92875-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0041302525&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume40en_HK
dc.identifier.issue18en_HK
dc.identifier.spage4615en_HK
dc.identifier.epage4635en_HK
dc.identifier.isiWOS:000184259600001-
dc.publisher.placeUnited Kingdomen_HK
dc.relation.projectInteraction of multiple branched cracks-
dc.identifier.scopusauthoridSu, RKL=7102627096en_HK
dc.identifier.scopusauthoridSun, HY=10144742900en_HK

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