Penny-shaped crack in a non-homogeneous solid under torsion

Abstract

Stress distributions in the neighbourhood of a penny-shaped crack in an elastic medium under torsion and having variable elastic coefficients have been determined and the stress intensity factor and the energy of the crack calculated. Two cases are considered: (a) elastic material is isotropic and nonhomogeneous, and (b) material is transversely isotropic and nonhomogeneous. Numerical results showing the stress distribution in the medium have been presented for nonhomogeneous as well as the associated  homogeneous media to assess the effect of nonhomogcneity on stresses. Some of the numerical results have been compared with works of similar nature.