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Tangential contact problem for a transversely isotropic elastic layer bonded to a rigid foundation

Published online by Cambridge University Press:  03 February 2005

V. I. FABRIKANT
Affiliation:
Prisoner #167932D, Archambault jail, Ste-Anne-des-Plaines, Quebec, Canada J0N 1H0

Abstract

A contact problem is called tangential when arbitrary tangential displacements are prescribed over a part of the boundary of a transversely isotropic layer, while the tangential stress is zero over the rest of the boundary; the normal stress vanishes all over the boundary. The Generalized Images method is used to give a complete elementary solution to the problem. A new governing integral equation is derived. A particular case of a circular domain of contact is studied in detail. The governing integral equation can be inverted in this case. Approximate formulae are derived for the resultant force and the torque. A direct relationship is established between the integral transform method and the Generalized Images method. A limiting case of general solution gives the solution for an isotropic layer.

Type
Research Article
Copyright
2005 Cambridge Philosophical Society

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