Asymptotic solution of the problem of the pressure of a rigid body on a membrane
type: Item
instance of: scholarly article
zbMATH Open document ID: 1014.74053
author: I. Argatov
publication date: 2001-12-18T00:00:00Z
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74G10
zbMATH DE Number: 1683381
zbMATH Keywords: pressure on membrane
zbMATH Keywords: method of matched asymptotic expansions
zbMATH Keywords: elliptic paraboloid
zbMATH Keywords: rigid punch
zbMATH Keywords: unilateral contact
zbMATH Keywords: elliptic contact area
MaRDI profile type: Publication
cites work: The pressure of a rigid body on plates and membranes
cites work: Q5331410
cites work: Q4053162
cites work: Q3344749
cites work: An iterative penalty method for a problem with constraints on the inner boundary
cites work: Q4881222
cites work: Q5509552
cites work: Q3994682
cites work: Q4949227
cites work: Isoperimetric Inequalities in Mathematical Physics. (AM-27)
cites work: Q5734593
cites work: Q3782170
cites work: Q3477208
cites work: Asymptotic solution of the Signorini problem with an obstacle on a thin elongated set
cites work: Q5807855
cites work: Q5527180
Recommended article: Q4469408
Recommended article: Q4703770
Recommended article: General Solutions for the Inelastic Behavior of Pressurized Membranes
Recommended article: Q4678584
Recommended article: Asymptotic justification of equations for von Kármán membrane shells
Recommended article: Numerical solution of the equilibrium problem for a membrane with embedded rigid inclusions
Recommended article: Existence of a solution for a nonlinearly elastic plane membrane “under tension”
Recommended article: Exact solution of large deformation basic equations of circular membrane under central force
Recommended article: EQUILIBRIA OF A PRESSURIZED CYLINDRICAL MEMBRANE WITH A NON-MONOTONIC PRESSURE-VOLUME CHARACTERISTIC
title: Asymptotic solution of the problem of the pressure of a rigid body on a membrane
published in: Prikladnaya Matematika i Mekhanika
review text: The author studies the pressure exerted on a membrane by a punch in the form of elliptic paraboloid. It is assumed that the contact area is small. By means of the method of matched asymptotic expansions, the author determines a relation between the force impressing the punch and its motion.
description: scientific article; zbMATH DE number 1683381