Rotationally symmetric deformations of partially loaded annular elastic membranes without wrinkling
type: Item
instance of: scholarly article
title: Rotationally symmetric deformations of partially loaded annular elastic membranes without wrinkling
zbMATH Open document ID: 0971.74049
DOI: 10.1023/A:1007577231355
author: Hans Grabmüller
published in: Journal of Elasticity
publication date: 2000-02-06T00:00:00Z
review text: The author studies the solvability of boundary value problems describing the deformation of annular membranes of revolution under the assumptions of a fully nonlinear strain-displacement relation together with linear stress-strain constitutive law. Four basic boundary value problems are considered which model the stressed states inside the membranes with edges subjected to stress or displacement boundary conditions. After introducing the so-called regular tensile solutions, the author solves the boundary value problem for displacements. Finally, it is shown that the boundary value problem for stresses possesses wrinkle-free solutions.
reviewed by: Rudolf Kodnár
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74G25
zbMATH DE Number: 1399467
zbMATH Keywords: existence of solution
zbMATH Keywords: boundary value problems
zbMATH Keywords: annular membranes of revolution
zbMATH Keywords: nonlinear strain-displacement relation
zbMATH Keywords: linear stress-strain constitutive law
zbMATH Keywords: regular tensile solutions
zbMATH Keywords: displacements
zbMATH Keywords: stresses
zbMATH Keywords: wrinkle-free solutions
MaRDI profile type: Publication
full work available at URL: a:1007577231355
OpenAlex ID: W2213815904
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description: scientific article; zbMATH DE number 1399467