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Article: Development of a new quadrilateral thin plate element using area coordinates

TitleDevelopment of a new quadrilateral thin plate element using area coordinates
Authors
Issue Date2000
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 2000, v. 190 n. 8-10, p. 979-987 How to Cite?
AbstractA new quadrilateral thin plate bending element with 12 degrees of freedom, called element ACGCQ, has been developed by employing both the area coordinates and the generalized conforming approach. The deflection field of the element is expressed as a polynomial, in terms of area coordinates, which is corresponding to a fourth order polynomial in terms of Cartesian coordinates x and y. The 12 generalized conforming conditions implemented are four-point and four-line compatibility conditions for the deflection w, and four-line compatibility conditions for the normal slope ψn. Since the relation between the area and Cartesian coordinates is linear, the formulation of the element stiffness matrix is straight forward. Several numerical examples were employed to test the proposed element. The results obtained show that it possesses the advantage of high accuracy and reliability, rapid convergence and insensitivity to geometric distortion.
Persistent Identifierhttp://hdl.handle.net/10722/75684
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorSoh, AKen_HK
dc.contributor.authorZhifei, Len_HK
dc.contributor.authorSong, Cen_HK
dc.date.accessioned2010-09-06T07:13:33Z-
dc.date.available2010-09-06T07:13:33Z-
dc.date.issued2000en_HK
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 2000, v. 190 n. 8-10, p. 979-987en_HK
dc.identifier.issn0045-7825en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75684-
dc.description.abstractA new quadrilateral thin plate bending element with 12 degrees of freedom, called element ACGCQ, has been developed by employing both the area coordinates and the generalized conforming approach. The deflection field of the element is expressed as a polynomial, in terms of area coordinates, which is corresponding to a fourth order polynomial in terms of Cartesian coordinates x and y. The 12 generalized conforming conditions implemented are four-point and four-line compatibility conditions for the deflection w, and four-line compatibility conditions for the normal slope ψn. Since the relation between the area and Cartesian coordinates is linear, the formulation of the element stiffness matrix is straight forward. Several numerical examples were employed to test the proposed element. The results obtained show that it possesses the advantage of high accuracy and reliability, rapid convergence and insensitivity to geometric distortion.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_HK
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_HK
dc.rightsComputer Methods in Applied Mechanics and Engineering. Copyright © Elsevier BV.en_HK
dc.titleDevelopment of a new quadrilateral thin plate element using area coordinatesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7825&volume=190 &issue=8-10&spage=979&epage=987&date=2000&atitle=Development+of+a+new+quadrilateral+thin+plate+element+using+area+coordinatesen_HK
dc.identifier.emailSoh, AK:aksoh@hkucc.hku.hken_HK
dc.identifier.authoritySoh, AK=rp00170en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0045-7825(99)00457-0en_HK
dc.identifier.scopuseid_2-s2.0-0034317004en_HK
dc.identifier.hkuros59176en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0034317004&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume190en_HK
dc.identifier.issue8-10en_HK
dc.identifier.spage979en_HK
dc.identifier.epage987en_HK
dc.identifier.isiWOS:000165752200011-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridSoh, AK=7006795203en_HK
dc.identifier.scopusauthoridZhifei, L=6602345488en_HK
dc.identifier.scopusauthoridSong, C=7403253100en_HK

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