Unified geometrically nonlinear formulation of all higher-order shear deformation theories for cross-ply plates

Dube, G. P. ; Kapuria, S. ; Dumir, P. C. (2003) Unified geometrically nonlinear formulation of all higher-order shear deformation theories for cross-ply plates Defence Science Journal, 53 (2). pp. 157-165. ISSN 0011-748X

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Official URL: http://publications.drdo.gov.in/ojs/index.php/dsj/...

Related URL: http://dx.doi.org/10.14429/dsj.53.2140

Abstract

Several higher-order shear deformation theories have been proposed for laminated plates, based on the expansions of displacements across the thickness, which are the same for all layers. In this study, a unified formulation of all higher-order theories is presented for cross-ply laminated plates based on polynomial expansions of displacements in the thickness coordinate z. It includes all the models available in literature. The governing equations for linear static and free vibfation response, and for buckling under inplane load are derived. The expressions for the stiffness matrix, inertia matrix, geometric stiffness matrix, and the load vector are developed for a simply supported rectangular plate using Navier's solution. A general purpose, single programme has been developed for all higher-order laminated plate theories.

Item Type:Article
Source:Copyright of this article belongs to Defence Scientific Information and Documentation Centre.
Keywords:Plates; Geometrical Nonlinearity; Cross-Ply Laminate; Navier's Solution; Higher-Order Shear Deformation; Higher-Order Laminated Plate Theories
ID Code:109926
Deposited On:31 Jan 2018 11:30
Last Modified:31 Jan 2018 11:30

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