Four types of exact solution to the problem of an axisymmetric punch bonded to a transversely isotropic half-space
type: Item
instance of: scholarly article
title: Four types of exact solution to the problem of an axisymmetric punch bonded to a transversely isotropic half-space
zbMATH Open document ID: 0581.73018
DOI: 10.1016/0020-7225(86)90112-6
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: The following axisymmetric mixed-mixed boundary value problem for a transversely isotropic elastic half-space is considered: arbitrary normal and radial tangential displacements are assumed inside a circle, and the normal and tangential stresses are prescribed outside. The analysis is concentrated on the evaluation of the stresses inside the circle and the displacements outside. The exact solution to the problem is presented in four different forms. The advantages and disadvantages of each type of solution are discussed. The relationships for transforming one type of solution into another are established. Some particular cases are considered. An application of this technique to the investigation of stresses generated in the operation of bonded punch is presented.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3930431
zbMATH Keywords: boundary integral approach
zbMATH Keywords: four different types of exact solution
zbMATH Keywords: bonded flat-ended circular punch
zbMATH Keywords: axisymmetric mixed-mixed boundary value problem
zbMATH Keywords: transversely isotropic elastic half-space
zbMATH Keywords: arbitrary normal
zbMATH Keywords: radial tangential displacements
zbMATH Keywords: normal and tangential stresses
zbMATH Keywords: evaluation of the stresses inside the circle
zbMATH Keywords: displacements outside
author: V. I. Fabrikant
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90112-6
OpenAlex ID: W2035685442
cites work: Q5832939
cites work: Q5820804
cites work: On contact problems in an inhomogeneous half-space
cites work: Punch and crack problems in transversely isotropic bodies
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description: scientific article; zbMATH DE number 3930431