Abstract
The problem of determining dynamic SIF for a penny-shaped crack embedded in an infinite elastic medium in which time-harmonic torsional body forces are available is investigated in the present paper. The solution of the title problem is obtained by superposition of the solutions of two simpler problems. The first problem corresponds to the unperturbed (crackless) infinite elastic medium subjected to the action of the prescribed torsional body forces, while the second problem consists in finding the dynamic stress intensity factor for the penny-shaped crack whose faces are subjected to some torsional loads. The form of these torsional loads are determined from the solution of the first problem. The solution of the first problem is obtained by using Fourier and Hankel integral transforms. The second problem has been reduced to a pair of dual integral equations by means of Hankel integral transform. The dual integral equations have been subsequently transformed into a Fredholm integral equation of the second kind via an auxiliary function, which has been solved numerically to determine the dynamic SIF at the rim of the penny-shaped crack for the case of linearly varying torsional body forces placed symmetrically with respect to the crack plane.
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