An application of Betti's reciprocal theorem for the analysis of an inclusion problem
type: Item
instance of: scholarly article
title: An application of Betti's reciprocal theorem for the analysis of an inclusion problem
zbMATH Open document ID: 0987.74015
DOI: 10.1016/S0955-7997(00)00058-8
published in: Engineering Analysis with Boundary Elements
publication date: 2001-01-25T00:00:00Z
review text: The paper deals with an axisymmetric contact boundary value problem of classical elasticity, where the isotropic homogeneous elastic infinite space is bounded internally by a rigid disc inclusion. The interface between the elastic medium and the rigid disc exhibits complete bonding which guarantees the continuity of displacements and tractions. The infinite elastic medium is subjected to an axisymmetric internal load uniformly distributed on a finite circular domain. The author proposes a direct integral equation formulation, whose full solution can be obtained only by numerical methods. However, by the application of Betti's reciprocal theorem, the author is able to derive an exact closed-form relation for rigid displacement of the disc inclusion caused by axisymmetric circular load.
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74G05
zbMATH DE Number: 1556257
zbMATH Keywords: axial stiffness
zbMATH Keywords: dual integral equation formulation
zbMATH Keywords: boundary value problem
zbMATH Keywords: rigid disc inclusion
zbMATH Keywords: Betti's reciprocal theorem
zbMATH Keywords: rigid displacement
zbMATH Keywords: axisymmetric circular load
author: A. P. S. Selvadurai
reviewed by: István Ecsedi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1556257