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A state space finite element for laminated composite plates

Sheng, H Y and Ye, J Q (2002) A state space finite element for laminated composite plates. Computer methods in applied mechanics and engineering, 191 (37-38). pp. 4259-4276. ISSN 0045-7825

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Abstract

This paper presents a semi-analytical finite element solution for the stress analysis of cross-ply laminated composite plates. The method is based on a mixed variational principle that includes the variations of both displacements and stresses. Finite element approximation is introduced only for the in-plane variations of displacements and stresses, while the through-thickness distributions of them are obtained by using the method of state equation. Numerical tests show that the results obtained approach the analytical three-dimensional solutions. Moreover, the use of the recursive formulation of the state equation leads to the solution of an algebra equation system whose order does not depend on the number of material layers of the laminate. Compared with the traditional finite element method, the new solution always provides continuous distributions of both displacements and transverse stresses across material interfaces.

Item Type: Article
Journal or Publication Title: Computer methods in applied mechanics and engineering
Uncontrolled Keywords: Laminated plate ; Finite element ; Three-dimensional elasticity ; State equation ; Mixed variational method ; Interface stresses
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: Faculty of Science and Technology > Engineering
ID Code: 54247
Deposited By: ep_importer_pure
Deposited On: 21 May 2012 10:11
Refereed?: Yes
Published?: Published
Last Modified: 24 Jan 2014 05:26
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/54247

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