Abstract
The axisymmetric problem of determining the dynamic stress intensity factor for a penny-shaped crack in an infinite elastic medium subjected to the action of time-harmonic radial shear body forces is considered in the present paper. The solution of the problem is obtained by superposition of the solutions of two simpler problems. the first of these problems corresponds to the unperturbed or crackless infinite space under the prescribed body forces, while the second problem consists in determining the stress intensity factor for the penny-shaped crack whose faces are directly acted upon by some shear stresses. The form of these stresses is determined from the solution of the first problem. Fourier and Hankel transforms have been employed to solve the first problem. Next by means of Hankel transform, the second problem has been reduced to a pair of dual integral equations, which have been subsequently transformed into a Fredholm integral equation of the second kind via an auxiliary function. The integral equation has been solved numerically to determine the variations of the dynamic SIF at the vicinity of the penny-shaped crack for the case where the elastic space is subjected to symmetrically placed time-harmonic radial shear body forces linearly varying with the radius of the crack.
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