Axisymmetric problem for rigid disc in an infinite elastic cylinder embedded in an infinite elastic material surrounding it
type: Item
instance of: scholarly article
title: Axisymmetric problem for rigid disc in an infinite elastic cylinder embedded in an infinite elastic material surrounding it
zbMATH Open document ID: 0558.73010
author: Kripal Singh
author: G. C. Dubey
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Axially symmetric stress distribution in an embedded infinite elastic cylinder containing a rigid disc is considered. A representation of the displacement at a point can be constructed as a sum of two terms involving harmonic functions. This representation after satisfying the boundary conditions on the disc and continuity conditions on the curved surface of the cylinder reduces to an unknown function which is the solution of a Fredholm integral equation of the second kind. Iterative solutions of this integral equation are obtained for a small value of the ratio of the radius of disc to the radius of the cylinder. These solutions are used for calculating the force required to shift the disc through a finite distance along the axis of the cylinder.
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 3890812
zbMATH Keywords: Axially symmetric stress distribution
zbMATH Keywords: embedded infinite elastic cylinder
zbMATH Keywords: rigid disc
zbMATH Keywords: Fredholm integral equation of the second kind
zbMATH Keywords: Iterative solutions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3890812