THE REISSNER-SAGOCI PROBLEM FOR A NONHOMOGENEOUS HALF-SPACE WITH A PENNY-SHAPED CRACK

The present paper examines the elastostatic problem related to the axi symmetric rotation of a rigid circular disc bonded to a non-homogeneou s half-space containing a penny-shaped crack. The shear modulus of the half-space is assumed to vary with depth according to the relation mu (z) = mu(1)(z + c)(a),c > 0 and mu(1), alpha are constants. Using Hank el transforms, the solution of the problem is reduced to integral equa tions and finally to simultaneous Fredholm integral equations of the s econd kind. By solving numerically the simultaneous Fredholm integral equations, results are obtained which are used to estimate the stress intensity factor at the crack tip and the torque required to rotate th e disc through an angle omega(0).