On the theories used for the wave propagation in laminated composite thin elastic shells
type: Item
instance of: scholarly article
title: On the theories used for the wave propagation in laminated composite thin elastic shells
zbMATH Open document ID: 0553.73019
DOI: 10.1007/BF00949037
author: K. P. Soldatos
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1985-01-01T00:00:00Z
review text: In this paper, the problem of propagation of free harmonic waves in cross-ply laminated thin elastic shells is considered. For this problem, a theoretical unification of the most commonly used, in physical and engineering applications, thin shell theories which take into consideration transverse shear deformation effects is presented. In more detail, the problem is formulated in such a way that by using some tracers, which have the form of Kronecker deltas, the obtained stress- strain relations, constitutive equations and equations of motion produce, as special cases, the corresponding relations and equations of the transverse shear deformable analogs of the Donnell, Love and Sanders theories. Using an eigenvalue form solution of the equation of motion, a comparison of corresponding numerical results obtained on the basis of all of the afore-mentioned theories is made. Comparisons with corresponding results obtained on the basis of the classical thin shell theories of Donnell, Love, Sanders and Flügge are also made.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 3881948
zbMATH Keywords: free harmonic waves
zbMATH Keywords: cross-ply laminated thin elastic shells
zbMATH Keywords: theoretical unification
zbMATH Keywords: thin shell theories
zbMATH Keywords: transverse shear deformation effects
zbMATH Keywords: tracers
zbMATH Keywords: Kronecker deltas
zbMATH Keywords: stress-strain relations
zbMATH Keywords: constitutive equations
zbMATH Keywords: equations of motion
zbMATH Keywords: transverse shear deformable analogs of the Donnell, Love and Sanders theories
zbMATH Keywords: eigenvalue form solution
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00949037
OpenAlex ID: W2009803186
description: scientific article; zbMATH DE number 3881948