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Article: On the variational principles in linear elastodynamics

TitleOn the variational principles in linear elastodynamics
Authors
En, LCheung, YK
KeywordsCombinatorial Generalized Variational Principle
Initial-Value Problem
Linear Elastodynamics
Variational Principle
Issue Date1988
PublisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-102-70-28739617-0,00.html?changeHeader=true
Citation
Acta Mechanica Sinica, 1988, v. 4 n. 4, p. 337-349 How to Cite?
DOI: http://dx.doi.org/10.1007/BF02486667
AbstractA new approach is proposed for the systematic derivation of varïous variational principles in linear elastodynamics. Based on an important integral relation in terms of convolutions given by the authors, the new approach can be used to derive the complementary functionals for the five-field, four-field, three-field, two-field and one-field variational principles more simply and directly. Furthermore, with this approach, it is possible not only to derive the variational principles given by Herrera and Bielak, Oden and Reddy, but also to develop new more general variational principles. And the intrinsic relationship among various principles can be explained clearly. © 1988 Chinese Society of Theoretical and Applied Mechanics.
Persistent Identifierhttp://hdl.handle.net/10722/150469
ISSN
0567-7718
2023 Impact Factor: 3.8
2023 SCImago Journal Rankings: 0.809

 

DC FieldValueLanguage
dc.contributor.authorEn, Len_US
dc.contributor.authorCheung, YKen_US
dc.date.accessioned2012-06-26T06:04:59Z-
dc.date.available2012-06-26T06:04:59Z-
dc.date.issued1988en_US
dc.identifier.citationActa Mechanica Sinica, 1988, v. 4 n. 4, p. 337-349en_US
dc.identifier.issn0567-7718en_US
dc.identifier.urihttp://hdl.handle.net/10722/150469-
dc.description.abstractA new approach is proposed for the systematic derivation of varïous variational principles in linear elastodynamics. Based on an important integral relation in terms of convolutions given by the authors, the new approach can be used to derive the complementary functionals for the five-field, four-field, three-field, two-field and one-field variational principles more simply and directly. Furthermore, with this approach, it is possible not only to derive the variational principles given by Herrera and Bielak, Oden and Reddy, but also to develop new more general variational principles. And the intrinsic relationship among various principles can be explained clearly. © 1988 Chinese Society of Theoretical and Applied Mechanics.en_US
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-102-70-28739617-0,00.html?changeHeader=trueen_US
dc.relation.ispartofActa Mechanica Sinicaen_US
dc.subjectCombinatorial Generalized Variational Principleen_US
dc.subjectInitial-Value Problemen_US
dc.subjectLinear Elastodynamicsen_US
dc.subjectVariational Principleen_US
dc.titleOn the variational principles in linear elastodynamicsen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/BF02486667en_US
dc.identifier.scopuseid_2-s2.0-51249173258en_US
dc.identifier.volume4en_US
dc.identifier.issue4en_US
dc.identifier.spage337en_US
dc.identifier.epage349en_US
dc.publisher.placeGermanyen_US
dc.identifier.scopusauthoridEn, L=24786273900en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.issnl0567-7718-

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