The Penny-shaped Crack in Shear and Related Contact Problems
نویسنده
چکیده
Abstract-A solution to the equations of elastic equilibrium is developed in terms of two harmonic functions, such that on a certain plane, normal stresses are identically zero, whilst tangential stresses and displacements are expressible as simple derivatives. The solution is used to solve the problem of the penny-shaped crack subjected to an arbitrary tangential traction and the corresponding contact problem, using a method developed by Green. The method is applied by way of illustration to Mindlin’s problem of the tangential compliance of elastic spheres in contact and to the penny-shaped crack in uniform shear and in torsion about a diametral axis.
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