stress intensity factor at the boundary, penny shaped crack, expansion of governing, axial stiffness of the embedded inclusion, terms of non-dimensional parameter, exact closed form, function in power series, direct axisymmetrical loading, rigid circular disc inclusion, finite thickness, Hankel transform, axial translation, reduced to solution of system of triple integral equations, Elastic materials, axisymmetric problem, Inhomogeneity in solid mechanics, penny-shaped crack, development of governing equations, wedged in smooth contact, Brittle damage, central force, Theoretical approximation of solutions to integral equations, Dynamical problems in solid mechanics, reduced, to single Fredholm equation of second kind