Certain variational problems with a small parameter in the theory of elasticity
type: Item
instance of: scholarly article
title: Certain variational problems with a small parameter in the theory of elasticity
zbMATH Open document ID: 0604.73016
DOI: 10.1016/0021-8928(85)90052-8
author: Yu. A. Bogan
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: For the mixed problem of elasticity theory on the deformation of a transversely isotropic cylinder, it is proved that in the selection of a specific small parameter the zeroth approximation equations agree with the bending equations for an elastic isotropic plate based on the Kirchhoff-Love hypotheses. Certain singularly perturbed contact problems of the Signorini type are considered.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3976472
zbMATH Keywords: weak convergence
zbMATH Keywords: strong convergence
zbMATH Keywords: deformation
zbMATH Keywords: transversely isotropic cylinder
zbMATH Keywords: zeroth approximation equations
zbMATH Keywords: bending equations
zbMATH Keywords: singularly perturbed contact problems
zbMATH Keywords: Signorini type
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90052-8
OpenAlex ID: W1974339380
cites work: Existence Theorems in Linear and Semi-Linear Elasticity
cites work: Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité
description: scientific article; zbMATH DE number 3976472