Nonlinear effects in the extension of an elastic space containing a wavy layer inclusion
type: Item
instance of: scholarly article
title: Nonlinear effects in the extension of an elastic space containing a wavy layer inclusion
zbMATH Open document ID: 1024.74011
DOI: 10.1016/S0022-5096(98)00012-X
author: Alexander Chiskis
author: R. Parnes
published in: Journal of the Mechanics and Physics of Solids
publication date: 2003-11-24T00:00:00Z
review text: The problem of a linear elastic (isotropic) curvilinear layer of finite or infinite length surrounded by an elastic (isotropic) medium of different elastic properties is known mainly from studies on folding in structural geology. Here the authors study a particular case of this problem assuming that the layer is of infinite length and of cosine curve form, and that the behaviour of both the layer (inclusion) and surrounding medium (matrix) is not linearly elastic -- the assumption of geometrical and physical nonlinearity. The considered elastic system is under uniform tension at infinity, which direction is parallel to the fold axis. There are utilized two boundary conditions between the layer and the medium -- displacement and stress continuity conditions. Tensor notation is applied in the derivation procedure, and numerical calculations are performed for specific data. The paper is heavy dependent on the references, and it is difficult to follow in detail the assumed nonlinear data.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1441405
zbMATH Keywords: elastic space
zbMATH Keywords: wavy layer inclusion
zbMATH Keywords: physical nonlinearity
zbMATH Keywords: geometrical nonlinearity
zbMATH Keywords: folding
zbMATH Keywords: uniform tension
reviewed by: Jozef Golecki
MaRDI profile type: Publication
cites work: A generalization of Cesàro's relation for plane finite deformations
cites work: Nonlinear behavior of wavy composites under tension
cites work: The nonlinear dynamics of elastic rods
cites work: Stationary waves in a homogeneous medium perturbed by an inclusion in the form of a curvilinear rod
cites work: Q4133236
cites work: Finite Deformation and Nonlinear Elastic Behavior of Flexible Composites
cites work: Finite deformation of flexible composites
cites work: Q4692333
Wikidata QID: Q126470719
description: scientific article; zbMATH DE number 1441405