Asymptotic construction of Reissner-like composite plate theory with accurate strain recovery.
type: Item
instance of: scholarly article
title: Asymptotic construction of Reissner-like composite plate theory with accurate strain recovery.
zbMATH Open document ID: 1060.74041
DOI: 10.1016/S0020-7683(02)00410-9
author: Wenbin Yu
author: D. H. Hodges
author: V. V. Volovoi
published in: International Journal of Solids and Structures
publication date: 2003-04-03T00:00:00Z
review text: Rather than making a priori kinematical assumption, the variational asymptotic method (VAM) is utilized to split the 3D elasticity problem into a linear 1D normal line analysis and a nonlinear 2D plate analysis. Minimization of an error term leads to a Reissner-like plate model, which is as close as possible to asymptotic correctness. Recovery relations are proposed to obtain 3D displacements, strains and stresses from the 2D plate theory. These relations are reached by applying the VAM once more. A corresponding development for shells is published by \textit{W. Yu, D. H. Hodges} and \textit{V. V. Volovoi} [Comput. Methods Appl. Mech. Eng. 191, No. 44, 5087--5109 (2002; Zbl 1060.74044)].
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74G10
zbMATH DE Number: 1892414
zbMATH Keywords: variational method
reviewed by: Klaus Rohwer
MaRDI profile type: Publication
full work available at URL: s0020-7683(02)00410-9
OpenAlex ID: W2134899837
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description: scientific article; zbMATH DE number 1892414