New variational-asymptotic formulations for interlaminar stress analysis in laminated plates
type: Item
instance of: scholarly article
title: New variational-asymptotic formulations for interlaminar stress analysis in laminated plates
zbMATH Open document ID: 0598.73064
DOI: 10.1007/BF00946753
author: Jacov Avrashi
author: P. Z. Bar-Yoseph
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: This study reports the authors' further contribution for interlaminar stress calculation in laminated plates [Comput. Struct. 21, 917-932 (1985; Zbl 0587.73097)]. They have examined interlaminar stresses in a rectangular composite laminated plate of uniform thickness subjected to a constant uniaxial tensile stress. The laminate may comprise any number of perfectly bonded layers, each with a distinct but uniform thickness, macroscopically homogeneous orthotropic material. Within the frame of the three-dimensional theory of elasticity, the method of composite expansions along with the Hellinger-Reissner variational functional has been used in order to establish the weak formulations and the pertinent Euler-Lagrange equations for the interior and edge layer regions for high order approximations. Then, a method of finite element analysis for the edge layer region has been developed on the basis of the modified mixed- hybrid method. Further, a comparison of the present results with an assumed displacement finite element solution has been made in the context of computational accuracy and efficiency. In closing, the variational- asymptotic method seems to have fruitful applications in investigating a failure due to delamination for various cases of loading, geometry and material in laminated plates.
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 3965577
zbMATH Keywords: interlaminar stresses
zbMATH Keywords: rectangular composite laminated plate
zbMATH Keywords: uniform thickness
zbMATH Keywords: constant uniaxial tensile stress
zbMATH Keywords: three-dimensional theory of elasticity
zbMATH Keywords: composite expansions
zbMATH Keywords: Hellinger-Reissner variational functional
zbMATH Keywords: weak formulations
zbMATH Keywords: pertinent Euler-Lagrange equations
zbMATH Keywords: high order approximations
zbMATH Keywords: modified mixed-hybrid method
reviewed by: M. Cengiz Dökmeci
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3965577