Axisymmetric contact problems involving the half-space and the elastic layer with a circular cylindrical hole

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1971

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Abstract

The present investigation is an analytical study of axisymmetric contact problems involving the half-space and the elastic layer with a transverse circular cylindrical hole. A bolt-shaped, rigid punch is pressed into the elastic medium under the action of an axial load. Extended Hankel transforms are employed to transform the Navier differential equations of equilibrium in cylindrical coordinates with axial symmetry. Two sets of dual integral equations are derived: One for the half-space and one for the layer. Both are shown to reduce to a singular Fredholm integral equation of the first kind with symmetric kernel. The integral equation for the half-space is solved numerically and results for stresses and displacements are presented in graphical form.

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