Flexural analysis of laminated composites using refined higher-order \(C^ o\) plate bending elements
type: Item
instance of: scholarly article
title: Flexural analysis of laminated composites using refined higher-order \(C^ o\) plate bending elements
zbMATH Open document ID: 0618.73080
DOI: 10.1016/0045-7825(88)90075-8
author: B. N. Pandya
author: Tarun Kant
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: A finite element formulation for flexure of a symmetrically laminated plate based on a higher-order displacement model and a three-dimensional state of stress and strain is presented. The present higher-order theory incorporates linear variation of transverse normal strains and parabolic variation of transverse shear strains through the plate thickness, and as a result it does not require shear correction coefficients. A nine-noded Lagrangian parabolic isoparametric plate bending element is described. The applications of the element to bending of laminated plates with various loading, boundary conditions, and lamination types are discussed. The numerical evaluations also include the convergence study of the element used. The present solutions for deflections and stresses are compared with those obtained using the three-dimensional elasticity theory, closed-form solutions with another high-order shear deformation theory, and the Mindlin theory. In addition, numerical results for a number of new problems, not available in the literature, are presented for future reference.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 4003665
zbMATH Keywords: flexure
zbMATH Keywords: symmetrically laminated plate
zbMATH Keywords: higher-order displacement model
zbMATH Keywords: three-dimensional state of stress and strain
zbMATH Keywords: linear variation of transverse normal strains
zbMATH Keywords: parabolic variation of transverse shear strains
zbMATH Keywords: nine-noded Lagrangian parabolic isoparametric plate bending element
zbMATH Keywords: various loading
zbMATH Keywords: boundary conditions
zbMATH Keywords: convergence
zbMATH Keywords: C(sup 0)- elements
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90075-8
OpenAlex ID: W2088096550
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description: scientific article; zbMATH DE number 4003665