A refined asymptotic theory and computational model for multilayered composite plates
type: Item
instance of: scholarly article
title: A refined asymptotic theory and computational model for multilayered composite plates
zbMATH Open document ID: 0892.73018
DOI: 10.1016/S0045-7825(96)01192-9
author: Jiann-Quo Tarn
author: Yibin Wang
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1997-01-01T00:00:00Z
review text: The asymptotic theory of multilayered composite plates is refined to embrace the shear deformation theory. The derivation is based on application of asymptotic expansion to the Hellinger-Reissner variational functional in which the displacements and transverse stresses are taken to be the functions subject to variation. By introducing rotations as auxiliary variables in the asymptotic formulation, the shear deformation theory of laminated plates arises naturally as the first-order approximation to the three-dimensional theory. The computational model is constructed on the basis of the asymptotic expressions of the Hellinger-Reissner functional in conjunction with the finite element method, in which the displacements and transverse stresses may be interpolated independently.
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74P10
zbMATH DE Number: 1079185
zbMATH Keywords: Hellinger-Reissner variational functional
zbMATH Keywords: displacements
zbMATH Keywords: transverse stresses
zbMATH Keywords: rotations
zbMATH Keywords: shear deformation theory of laminated plates
MaRDI profile type: Publication
cites work: Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates
cites work: Shear Deformation in Heterogeneous Anisotropic Plates
cites work: A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates
cites work: A High-Order Theory of Plate Deformation—Part 2: Laminated Plates
cites work: A Simple Higher-Order Theory for Laminated Composite Plates
cites work: On a Variational Theorem in Elasticity
cites work: Q5548879
cites work: Q3217726
cites work: Hybrid-stress eight-node elements for thin and thick multilayer laminated plates
cites work: An asymptotic theory for dynamic response of anisotropic inhomogeneous and laminated plates
cites work: A three-dimensional analysis of anisotropic inhomogeneous and laminated plates
cites work: Three-dimensional asymptotic finite element method for anisotropic inhomogeneous and laminated plates
cites work: An asymptotic variational formulation for dynamic analysis of multilayered anisotropic plates
full work available at URL: s0045-7825(96)01192-9
OpenAlex ID: W2066354127
description: scientific article; zbMATH DE number 1079185