Article: The fractal finite element method for added-mass-type problems

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TitleThe fractal finite element method for added-mass-type problems
AuthorsLeung, AYT3
Fok, ASL1
Dai, H1
Su, RKL2
KeywordsAdded Mass
Fluid-Structure Interaction
Fractal Finite Element
Unbounded Problems
Issue Date2008
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
CitationInternational Journal For Numerical Methods In Engineering, 2008, v. 75 n. 10, p. 1194-1213 [How to Cite?]
DOI: http://dx.doi.org/10.1002/nme.2294
AbstractThe fractal finite element method (FFEM), originally developed for calculating stress intensity factors in fracture mechanics problems, has been extended to analyse fluid-structure interaction in the form of added-mass-type problems. These include the free vibration of a submerged spherical shell and the interaction between a dam and a reservoir. For the former problem, the numerical solution from the FFEM agrees well with the analytical solution, and the FFEM performed better than conventional finite elements and infinite elements in terms of efficiency. For the latter problem, the FFEM predicted an added mass profile that is different from that based on Westergaard's parabolic solution. Copyright © 2008 John Wiley & Sons, Ltd.
ISSN0029-5981
2011 Impact Factor: 2.009
2011 SCImago Journal Rankings: 0.079
DOIhttp://dx.doi.org/10.1002/nme.2294
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorLeung, AYT
dc.contributor.authorFok, ASL
dc.contributor.authorDai, H
dc.contributor.authorSu, RKL
dc.date.accessioned2012-06-26T06:04:59Z
dc.date.available2012-06-26T06:04:59Z
dc.date.issued2008
dc.description.abstractThe fractal finite element method (FFEM), originally developed for calculating stress intensity factors in fracture mechanics problems, has been extended to analyse fluid-structure interaction in the form of added-mass-type problems. These include the free vibration of a submerged spherical shell and the interaction between a dam and a reservoir. For the former problem, the numerical solution from the FFEM agrees well with the analytical solution, and the FFEM performed better than conventional finite elements and infinite elements in terms of efficiency. For the latter problem, the FFEM predicted an added mass profile that is different from that based on Westergaard's parabolic solution. Copyright © 2008 John Wiley & Sons, Ltd.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 2008, v. 75 n. 10, p. 1194-1213 [How to Cite?]
DOI: http://dx.doi.org/10.1002/nme.2294
dc.identifier.doihttp://dx.doi.org/10.1002/nme.2294
dc.identifier.epage1213
dc.identifier.hkuros153684
dc.identifier.isiWOS:000259630900003
Funding AgencyGrant Number
Hong Kong Research Grants CouncilCityU1047/00E
Hong Kong University
Funding Information:

Contract/grant sponsor: Hong Kong Research Grants Council Contract/grant sponsor: Hong Kong University

dc.identifier.issn0029-5981
2011 Impact Factor: 2.009
2011 SCImago Journal Rankings: 0.079
dc.identifier.issue10
dc.identifier.scopuseid_2-s2.0-52649179460
dc.identifier.spage1194
dc.identifier.urihttp://hdl.handle.net/10722/150471
dc.identifier.volume75
dc.languageeng
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
dc.publisher.placeUnited Kingdom
dc.relation.ispartofInternational Journal for Numerical Methods in Engineering
dc.relation.referencesReferences in Scopus
dc.rightsInternational Journal for Numerical Methods in Engineering. Copyright © John Wiley & Sons Ltd.
dc.subjectAdded Mass
dc.subjectFluid-Structure Interaction
dc.subjectFractal Finite Element
dc.subjectUnbounded Problems
dc.titleThe fractal finite element method for added-mass-type problems
dc.typeArticle
Author Affiliations
  1. University of Manchester
  2. The University of Hong Kong
  3. City University of Hong Kong