Article: Augmented higher order global-local theory and refined triangular element for laminated composite plates

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TitleAugmented higher order global-local theory and refined triangular element for laminated composite plates
AuthorsChen, W1
Cheung, YK2
Wu, Z1
KeywordsC 1 Weak-Continuity Condition
Higher Order Global-Local Theory
Laminated Composite Plate
Refined Three-Node Triangular Plate Element
Issue Date2007
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/compstruct
CitationComposite Structures, 2007, v. 81 n. 3, p. 341-352 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.compstruct.2006.08.028
AbstractThe characteristics of higher order theories for laminated composite plate are that the number of unknowns are independent of the number of layers. However, they are unable to predict accurately the inter-element stresses and are also unsuitable for laminated plates with a large number of layers. Based on the third-order global - 1,2-3 order local higher order theory proposed by Li and Liu [Li XiaoYu and Liu D. Generalized laminate theories based on double superposition hypothesis. Int. J. Numer. Meth. Eng.,1997; 40: 1197-1212], which can predict accurately the interlaminar stresses, we propose an augmented higher order global-local theory for laminated composite plates and using it to estimate the applicability to the range of number of layers. The displacement field is composed of a mth-order (9 > m > 3) polynomial of global coordinate z in the thickness direction and 1,2-3 order power series of local coordinate ζ k in the thickness direction of each layer. This theory can satisfy the free surface conditions and the geometric and stress continuity conditions at interfaces, and the number of unknowns is independent of the layer numbers of the laminate. Based on this higher order theory, a refined three-node triangular element satisfying the requirement of C 1 weak-continuity is presented. Numerical results show that the proposed higher order global-local theory can predict accurately in-plane stresses and transverse shear stresses from the constitutive equations, and it is still effective when the number of layers in laminated plates is more than five and up to 14. It is also shown that the present refined triangular element possesses higher accuracy compared with known elements. © 2006 Elsevier Ltd. All rights reserved.
ISSN0263-8223
2011 Impact Factor: 2.24
2011 SCImago Journal Rankings: 0.083
DOIhttp://dx.doi.org/10.1016/j.compstruct.2006.08.028
ISI Accession Number IDWOS:000249193800004
ReferencesReferences in Scopus
DC Field
Value
dc.contributor.authorChen, W
dc.contributor.authorCheung, YK
dc.contributor.authorWu, Z
dc.date.accessioned2012-06-26T06:04:31Z
dc.date.available2012-06-26T06:04:31Z
dc.date.issued2007
dc.description.abstractThe characteristics of higher order theories for laminated composite plate are that the number of unknowns are independent of the number of layers. However, they are unable to predict accurately the inter-element stresses and are also unsuitable for laminated plates with a large number of layers. Based on the third-order global - 1,2-3 order local higher order theory proposed by Li and Liu [Li XiaoYu and Liu D. Generalized laminate theories based on double superposition hypothesis. Int. J. Numer. Meth. Eng.,1997; 40: 1197-1212], which can predict accurately the interlaminar stresses, we propose an augmented higher order global-local theory for laminated composite plates and using it to estimate the applicability to the range of number of layers. The displacement field is composed of a mth-order (9 > m > 3) polynomial of global coordinate z in the thickness direction and 1,2-3 order power series of local coordinate ζ k in the thickness direction of each layer. This theory can satisfy the free surface conditions and the geometric and stress continuity conditions at interfaces, and the number of unknowns is independent of the layer numbers of the laminate. Based on this higher order theory, a refined three-node triangular element satisfying the requirement of C 1 weak-continuity is presented. Numerical results show that the proposed higher order global-local theory can predict accurately in-plane stresses and transverse shear stresses from the constitutive equations, and it is still effective when the number of layers in laminated plates is more than five and up to 14. It is also shown that the present refined triangular element possesses higher accuracy compared with known elements. © 2006 Elsevier Ltd. All rights reserved.
dc.description.natureLink_to_subscribed_fulltext
dc.identifier.citationComposite Structures, 2007, v. 81 n. 3, p. 341-352 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.compstruct.2006.08.028
dc.identifier.doihttp://dx.doi.org/10.1016/j.compstruct.2006.08.028
dc.identifier.epage352
dc.identifier.isiWOS:000249193800004
dc.identifier.issn0263-8223
2011 Impact Factor: 2.24
2011 SCImago Journal Rankings: 0.083
dc.identifier.issue3
dc.identifier.scopuseid_2-s2.0-34250691603
dc.identifier.spage341
dc.identifier.urihttp://hdl.handle.net/10722/150414
dc.identifier.volume81
dc.languageeng
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/compstruct
dc.publisher.placeUnited Kingdom
dc.relation.ispartofComposite Structures
dc.relation.referencesReferences in Scopus
dc.subjectC 1 Weak-Continuity Condition
dc.subjectHigher Order Global-Local Theory
dc.subjectLaminated Composite Plate
dc.subjectRefined Three-Node Triangular Plate Element
dc.titleAugmented higher order global-local theory and refined triangular element for laminated composite plates
dc.typeArticle
Author Affiliations
  1. Dalian University of Technology
  2. The University of Hong Kong