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Article: A closed form solution to the antiplane problem of doubly periodic cracks of unequal size in piezoelectric materials

TitleA closed form solution to the antiplane problem of doubly periodic cracks of unequal size in piezoelectric materials
Authors
KeywordsArray of cracks
Crack tip field intensity factors
Double period
Effective electroelastic moduli
Issue Date2006
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/mechmat
Citation
Mechanics Of Materials, 2006, v. 38 n. 4, p. 269-286 How to Cite?
AbstractThe problem of doubly periodic cracks in piezoelectric materials under far-field antiplane mechanical load and inplane electric load is investigated, where the fundamental cell contains four parallel and unequal cracks. By combining the elliptical function theory and conformal mapping technique, an exact solution in closed form to this problem is obtained. Based on this solution, the exact formulae for the crack tip field intensity factors and the effective electroelastic moduli of such cracked piezoelectric materials are derived. Numerical examples are graphically presented to show the interesting mechanical and electrical coupling phenomena induced by multicrack interactions, especially to reveal the shielding and intensifying effects of small cracks on the main cracks and to quantify the loss of electroelastic properties due to the presence of such arrays of microcracks. New and existing solutions, such as those for doubly periodic cracks in purely elastic materials and a single row or a single stack of periodical unequal cracks in piezoelectric materials are obtained as special cases of the present solution. The present solution can provide benchmark results for other numerical and approximate methods. © 2005 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/71770
ISSN
2015 Impact Factor: 2.636
2015 SCImago Journal Rankings: 1.311
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTong, ZHen_HK
dc.contributor.authorJiang, CPen_HK
dc.contributor.authorLo, SHen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:35:01Z-
dc.date.available2010-09-06T06:35:01Z-
dc.date.issued2006en_HK
dc.identifier.citationMechanics Of Materials, 2006, v. 38 n. 4, p. 269-286en_HK
dc.identifier.issn0167-6636en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71770-
dc.description.abstractThe problem of doubly periodic cracks in piezoelectric materials under far-field antiplane mechanical load and inplane electric load is investigated, where the fundamental cell contains four parallel and unequal cracks. By combining the elliptical function theory and conformal mapping technique, an exact solution in closed form to this problem is obtained. Based on this solution, the exact formulae for the crack tip field intensity factors and the effective electroelastic moduli of such cracked piezoelectric materials are derived. Numerical examples are graphically presented to show the interesting mechanical and electrical coupling phenomena induced by multicrack interactions, especially to reveal the shielding and intensifying effects of small cracks on the main cracks and to quantify the loss of electroelastic properties due to the presence of such arrays of microcracks. New and existing solutions, such as those for doubly periodic cracks in purely elastic materials and a single row or a single stack of periodical unequal cracks in piezoelectric materials are obtained as special cases of the present solution. The present solution can provide benchmark results for other numerical and approximate methods. © 2005 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.subjectArray of cracksen_HK
dc.subjectCrack tip field intensity factorsen_HK
dc.subjectDouble perioden_HK
dc.subjectEffective electroelastic modulien_HK
dc.titleA closed form solution to the antiplane problem of doubly periodic cracks of unequal size in piezoelectric materialsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-6636&volume=38&spage=269&epage=286&date=2006&atitle=A+closed+form+solution+to+the+antiplane+problem+of+doubly+periodic+cracks+of+unequal+size+in+piezoelectric+materialsen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.mechmat.2005.06.008en_HK
dc.identifier.scopuseid_2-s2.0-30344485136en_HK
dc.identifier.hkuros114532en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-30344485136&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume38en_HK
dc.identifier.issue4en_HK
dc.identifier.spage269en_HK
dc.identifier.epage286en_HK
dc.identifier.isiWOS:000234949800001-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridTong, ZH=24469079700en_HK
dc.identifier.scopusauthoridJiang, CP=7403665202en_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK

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