Torsion of nonhomogeneous elastic half-space with embedded penny shaped flaws (Q1327759)

This investigation is concerned with solution of the elastic problem in which a non-homogeneous elastic half-space \(z\geq -h\) with a flaw in it at \(z=0\) is acted on by a shearing force on the face \(z=-h\) due to the rotation of a rigidly cemented circular shaft of given radius through some angle. Specifically, two types of flaws are considered: (A) a penny shaped rigid inclusion, and (B) a penny shaped crack. In each case the problem is reduced to a system of Fredholm integral equations.