TORSION OF NONHOMOGENEOUS ELASTIC HALF-SPACE WITH EMBEDDED PENNY-SHAPED FLAWS

This investigation is concerned with solution of the elastic problem i n which a non-homogeneous elastic half-space z greater-than-or-equal-t o -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 ar e considered : (A) a penny shaped rigid inclusion, and (B) a penny sha ped crack. In each case the problem is reduced to a system of Fredholm integral equations. The numerical values of the measure of strength o f singularity at the rim of the rigid shaft and the flaw, the torsiona l moment and the relative rotation are plotted in different figures an d compared with the associated graphs in homogeneous medium.