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Article: A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application

TitleA rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application
Authors
Jiang, CPXu, YLCheung, YKLo, SH
KeywordsDouble period
Effective modulus
Fiber-reinforced composites
Heterogeneous materials
Riemann boundary value problem
Stress concentration
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/mechmat
Citation
Mechanics Of Materials, 2004, v. 36 n. 3, p. 225-237 How to Cite?
DOI: http://dx.doi.org/10.1016/S0167-6636(03)00010-3
AbstractAn infinite elastic solid containing a doubly periodic parallelogrammic array of cylindrical inclusions under longitudinal shear is studied. A rigorous and effective analytical method for exact solution is developed by using Eshelby's equivalent inclusion concept integrated with the new results from the doubly quasi-periodic Riemann boundary value problems. Numerical results show the dependence of the stress concentrations in such heterogeneous materials on the periodic microstructure parameters. The overall longitudinal shear modulus of composites with periodic distributed fibers is also studied. Several problems of practical importance, such as those of doubly periodic holes or rigid inclusions, singly periodic inclusions and single inclusion, are solved or resolved as special cases. The present method can provide benchmark results for other numerical and approximate methods. © 2003 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/70525
ISSN
0167-6636
2023 Impact Factor: 3.4
2023 SCImago Journal Rankings: 0.948
ISI Accession Number ID
WOS:000187751000003
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorJiang, CPen_HK
dc.contributor.authorXu, YLen_HK
dc.contributor.authorCheung, YKen_HK
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:23:45Z-
dc.date.available2010-09-06T06:23:45Z-
dc.date.issued2004en_HK
dc.identifier.citationMechanics Of Materials, 2004, v. 36 n. 3, p. 225-237en_HK
dc.identifier.issn0167-6636en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70525-
dc.description.abstractAn infinite elastic solid containing a doubly periodic parallelogrammic array of cylindrical inclusions under longitudinal shear is studied. A rigorous and effective analytical method for exact solution is developed by using Eshelby's equivalent inclusion concept integrated with the new results from the doubly quasi-periodic Riemann boundary value problems. Numerical results show the dependence of the stress concentrations in such heterogeneous materials on the periodic microstructure parameters. The overall longitudinal shear modulus of composites with periodic distributed fibers is also studied. Several problems of practical importance, such as those of doubly periodic holes or rigid inclusions, singly periodic inclusions and single inclusion, are solved or resolved as special cases. The present method can provide benchmark results for other numerical and approximate methods. © 2003 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/mechmaten_HK
dc.relation.ispartofMechanics of Materialsen_HK
dc.rightsMechanics of Materials. Copyright © Elsevier BV.en_HK
dc.subjectDouble perioden_HK
dc.subjectEffective modulusen_HK
dc.subjectFiber-reinforced compositesen_HK
dc.subjectHeterogeneous materialsen_HK
dc.subjectRiemann boundary value problemen_HK
dc.subjectStress concentrationen_HK
dc.titleA rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its applicationen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6636&volume=36&issue=3&spage=225&epage=237&date=2004&atitle=A+rigorous+analytical+method+for+doubly+periodic+cylindrical+inclusions+under+longitudinal+shear+and+its+applicationen_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.doi10.1016/S0167-6636(03)00010-3en_HK
dc.identifier.scopuseid_2-s2.0-0242526807en_HK
dc.identifier.hkuros92805en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0242526807&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume36en_HK
dc.identifier.issue3en_HK
dc.identifier.spage225en_HK
dc.identifier.epage237en_HK
dc.identifier.isiWOS:000187751000003-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridJiang, CP=7403665202en_HK
dc.identifier.scopusauthoridXu, YL=7406450892en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.issnl0167-6636-

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