Axisymmetric problems for an externally cracked elastic solid. II. Effect of a penny-shaped inclusion
type: Item
instance of: scholarly article
title: Axisymmetric problems for an externally cracked elastic solid. II. Effect of a penny-shaped inclusion
zbMATH Open document ID: 0625.73108
DOI: 10.1016/0020-7225(87)90025-5
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: [For part I see the authors, ibid. 25, 1049-1057 (1987; Zbl 0614.73100).] The present paper examines the problem of the axisymmetric translation of a rigid disc shaped inclusion which is embedded in bonded contact in an isotropic elastic solid. The plane containing the inclusion is weakened by an external circular crack. The mathematical analysis of the mixed boundary value problem concentrates on the evaluation of the load- displacement relationship for the penny-shaped inclusion and the stress intensity factor at the boundary of the externally cracked region.
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 45L05
zbMATH DE Number: 4016386
zbMATH Keywords: Hankel transform
zbMATH Keywords: system of Abel-type equations
zbMATH Keywords: axisymmetric translation
zbMATH Keywords: rigid disc shaped inclusion
zbMATH Keywords: bonded contact
zbMATH Keywords: isotropic elastic solid
zbMATH Keywords: external circular crack
zbMATH Keywords: load-displacement relationship
zbMATH Keywords: penny-shaped inclusion
zbMATH Keywords: stress intensity factor
zbMATH Keywords: externally cracked region
author: A. P. S. Selvadurai
author: B. M. Singh
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90025-5
OpenAlex ID: W2022752199
cites work: Variational and Related Methods for the Overall Properties of Composites
cites work: Elastic Behavior of Composite Materials: Theoretical Foundations
cites work: Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks I. Cracks in an infinite solid and a thick plate
cites work: Singularity methods for elastostatics
cites work: Some three-dimensional inclusion problems in elasticity
cites work: Q3208153
cites work: Asymmetric displacements of a rigid disc inclusion embedded in a transversely isotropic elastic medium of infinite extent
cites work: The eccentric loading of a rigid circular foundation embedded in an isotropic elastic medium
cites work: Axial displacement of a rigid elliptical disc inclusion embedded in a transversely isotropic elastic solid
cites work: The rotation of a rigid elliptical disc inclusion embedded in a transversely isotropic elastic solid
cites work: The theory of a rigid circular disc ground anchor buried in an elastic soil either with adhesion or without adhesion
cites work: Mixed boundary value problems for a penny-shaped cut
cites work: An energy estimate of the flexural behaviour of a circular foundation embedded in an isotropic elastic medium
cites work: The displacements of a rigid disc inclusion embedded in an isotropic elastic medium due to the action of an external force
cites work: On the interaction between an elastically embedded rigid inhomogeneity and a laterally placed concentrated force
cites work: Some annular disc inclusion problems in elasticity
cites work: Elastostatic bounds for the stiffness of an elliptical disc inclusion embedded at a transversely isotropic bi-material interface
cites work: Q3219203
cites work: Q3334189
cites work: Q5844404
cites work: Q5681648
cites work: Q4124250
cites work: The Deferred Approach to the Limit for Eigenvalues of Integral Equations
cites work: Q3868933
cites work: Q5832939
cites work: Q4070500
description: scientific article; zbMATH DE number 4016386