Abstract
This paper deals with the stress distribution in a homogeneous isotropic elastic hemisphere embedded in a semi-infinite homogeneous isotropic elastic medium when a rigid circular disc is clamped to the plane face of the hemisphere and the stresses are caused by the rotation of the disc through an angle β. The problem is reduced to the solution of a Fredholm integral equation of the second kind in the auxiliary function ψ(t). An analytical expression for the torque T required to rotate the die through an angle β is obtained in terms of ψ(t). The Fredholm integral equation is solved numerically, and the numerical values of T are graphed.
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This work has been supported by the National Research Council of Canada through NRC-Research Grant No. A4177.
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Dhaliwal, R.S., Singh, B.M. & Rokne, J.G. Torsion of a hemisphere embedded in an elastic half-space. J Elasticity 11, 329–335 (1981). https://doi.org/10.1007/BF00041943
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DOI: https://doi.org/10.1007/BF00041943