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The torsion of a semi-infinite elastic solid by an elliptical stamp

Published online by Cambridge University Press:  18 May 2009

Mumtaz K. Kassir
Affiliation:
The City CollegeThe City UniversityNew York N.Y. 10031, U.S.A.
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The problem of determining, within the limits of the classical theory of elasticity, the displacements and stresses in the interior of a semi-infinite solid (z ≧ 0) when a part of the boundary surface (z = 0) is forced to rotate through a given angle ω about an axis which is normal to the undeformed plane surface of the solid, has been discussed by several authors [7, 8, 9, 1, 11, and others]. All of this work is concerned with rotating a circular area of the boundary surface and the field equation to be solved is, essentially, J. H. Mitchell's equation for the torsion of bars of varying circular cross-sections.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1968