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Article: Stress solution of multiple elliptic hole problem in plane elasticity

TitleStress solution of multiple elliptic hole problem in plane elasticity
Authors
KeywordsComputation
Elasticity
Holes
Stress analysis
Stress concentration
Issue Date2003
PublisherAmerican Society of Civil Engineers. The Journal's web site is located at http://www.pubs.asce.org/journals/em.html
Citation
Journal Of Engineering Mechanics, 2003, v. 129 n. 12, p. 1394-1407 How to Cite?
AbstractUsing Schwarz's alternating method and Muskhelishvili's complex variable function techniques, this paper presents an iterative algorithm method for the effective and accurate calculation of the stresses in an elastic solid of infinite extent containing multiple elliptic holes and subject to external loading at the infinity. The elliptic holes can have different dimensions and locate at any points while their axis orientations must be orthogonal. The proposed iterative algorithm method is based on the approximation of the resultant force vector on each elliptic hole boundary as a series of complex variable. As a result, exact closed-form analytical stress solutions can then be obtained for the solid with a single elliptic hole whose boundary is subject to the reverse resultant force vector in the forms of complex series. The numerical results presented in the paper show that the iterative solution converges quickly and stably. The proposed convergent criterion ensures the satisfaction of the required accuracy of the stress results. The stress concentration at elliptic holes can then be evaluated with high accuracy.
Persistent Identifierhttp://hdl.handle.net/10722/70891
ISSN
2015 Impact Factor: 1.346
2015 SCImago Journal Rankings: 0.747
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorZhang, LQen_HK
dc.contributor.authorYue, ZQen_HK
dc.contributor.authorLee, CFen_HK
dc.contributor.authorTham, LGen_HK
dc.contributor.authorYang, ZFen_HK
dc.date.accessioned2010-09-06T06:27:02Z-
dc.date.available2010-09-06T06:27:02Z-
dc.date.issued2003en_HK
dc.identifier.citationJournal Of Engineering Mechanics, 2003, v. 129 n. 12, p. 1394-1407en_HK
dc.identifier.issn0733-9399en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70891-
dc.description.abstractUsing Schwarz's alternating method and Muskhelishvili's complex variable function techniques, this paper presents an iterative algorithm method for the effective and accurate calculation of the stresses in an elastic solid of infinite extent containing multiple elliptic holes and subject to external loading at the infinity. The elliptic holes can have different dimensions and locate at any points while their axis orientations must be orthogonal. The proposed iterative algorithm method is based on the approximation of the resultant force vector on each elliptic hole boundary as a series of complex variable. As a result, exact closed-form analytical stress solutions can then be obtained for the solid with a single elliptic hole whose boundary is subject to the reverse resultant force vector in the forms of complex series. The numerical results presented in the paper show that the iterative solution converges quickly and stably. The proposed convergent criterion ensures the satisfaction of the required accuracy of the stress results. The stress concentration at elliptic holes can then be evaluated with high accuracy.en_HK
dc.languageengen_HK
dc.publisherAmerican Society of Civil Engineers. The Journal's web site is located at http://www.pubs.asce.org/journals/em.htmlen_HK
dc.relation.ispartofJournal of Engineering Mechanicsen_HK
dc.rightsJournal of Engineering Mechanics. Copyright © American Society of Civil Engineers.en_HK
dc.subjectComputationen_HK
dc.subjectElasticityen_HK
dc.subjectHolesen_HK
dc.subjectStress analysisen_HK
dc.subjectStress concentrationen_HK
dc.titleStress solution of multiple elliptic hole problem in plane elasticityen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0733-9399&volume=&spage=1394&epage=1407&date=2003&atitle=Stress+Solution+of+Multiple+Elliptic+Hole+Problem+in+Plane+Elasticityen_HK
dc.identifier.emailYue, ZQ: yueqzq@hku.hken_HK
dc.identifier.emailLee, CF: leecf@hkucc.hku.hken_HK
dc.identifier.emailTham, LG: hrectlg@hku.hken_HK
dc.identifier.authorityYue, ZQ=rp00209en_HK
dc.identifier.authorityLee, CF=rp00139en_HK
dc.identifier.authorityTham, LG=rp00176en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1061/(ASCE)0733-9399(2003)129:12(1394)en_HK
dc.identifier.scopuseid_2-s2.0-0347353588en_HK
dc.identifier.hkuros85625en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0347353588&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume129en_HK
dc.identifier.issue12en_HK
dc.identifier.spage1394en_HK
dc.identifier.epage1407en_HK
dc.identifier.isiWOS:000186721300004-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridZhang, LQ=25623890300en_HK
dc.identifier.scopusauthoridYue, ZQ=7102782735en_HK
dc.identifier.scopusauthoridLee, CF=8068602600en_HK
dc.identifier.scopusauthoridTham, LG=7006213628en_HK
dc.identifier.scopusauthoridYang, ZF=8288205900en_HK

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