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Article: Trefftz indirect methods for plane piezoelectricity

TitleTrefftz indirect methods for plane piezoelectricity
Authors
KeywordsBoundary element
Complete solution set
Piezoelectricity
Trefftz
Trefftz functions
Issue Date2005
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 2005, v. 63 n. 1, p. 139-158 How to Cite?
AbstractIn this paper, a unified theory for the general solutions of three-dimensional elasticity is employed to transform the governing equations of plane piezoelectricity into three generalized Laplace equations. The latter equations are uncoupled and can be pursued separately. By introducing three generalized complex variables, the complete solution sets for plane piezoelectricity are constructed. By adopting the constituents in the solution sets as the trial functions, the Trefftz collocation and the Trefftz Galerkin methods are formulated. Both methods fall into the category of Trefftz indirect methods as the coefficients of their trial functions are non-physical. Numerical examples are presented to illustrate the efficacy of the formulations. Copyright © 2005 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/75865
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorJin, WGen_HK
dc.contributor.authorSheng, Nen_HK
dc.contributor.authorSze, KYen_HK
dc.contributor.authorLi, Jen_HK
dc.date.accessioned2010-09-06T07:15:19Z-
dc.date.available2010-09-06T07:15:19Z-
dc.date.issued2005en_HK
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2005, v. 63 n. 1, p. 139-158en_HK
dc.identifier.issn0029-5981en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75865-
dc.description.abstractIn this paper, a unified theory for the general solutions of three-dimensional elasticity is employed to transform the governing equations of plane piezoelectricity into three generalized Laplace equations. The latter equations are uncoupled and can be pursued separately. By introducing three generalized complex variables, the complete solution sets for plane piezoelectricity are constructed. By adopting the constituents in the solution sets as the trial functions, the Trefftz collocation and the Trefftz Galerkin methods are formulated. Both methods fall into the category of Trefftz indirect methods as the coefficients of their trial functions are non-physical. Numerical examples are presented to illustrate the efficacy of the formulations. Copyright © 2005 John Wiley & Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_HK
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_HK
dc.rightsInternational Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectBoundary elementen_HK
dc.subjectComplete solution seten_HK
dc.subjectPiezoelectricityen_HK
dc.subjectTrefftzen_HK
dc.subjectTrefftz functionsen_HK
dc.titleTrefftz indirect methods for plane piezoelectricityen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0029-5981&volume=63&spage=139&epage=158&date=2005&atitle=Trefftz+indirect+methods+for+plane+piezoelectricityen_HK
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_HK
dc.identifier.authoritySze, KY=rp00171en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/nme.1273en_HK
dc.identifier.scopuseid_2-s2.0-17744380794en_HK
dc.identifier.hkuros100165en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-17744380794&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume63en_HK
dc.identifier.issue1en_HK
dc.identifier.spage139en_HK
dc.identifier.epage158en_HK
dc.identifier.isiWOS:000228562800006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridJin, WG=7402071136en_HK
dc.identifier.scopusauthoridSheng, N=55259181300en_HK
dc.identifier.scopusauthoridSze, KY=7006735060en_HK
dc.identifier.scopusauthoridLi, J=7410057787en_HK

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