Abstract
The present paper is concerned with the problem of determining dynamic SIF of a penny-shaped crack in an infinite elastic medium, which is subjected to the action of time-harmonic axial body forces, placed symmetrically with respect to the crack plane. The solution of the problem is obtained by superposition of the solutions of two simpler problems. The first of these problems is related to the unperturbed (crackless) space under the prescribed axial body forces, while the second problem consists in finding the dynamic SIF of the penny-shaped crack whose faces are directly acted upon by some axial stresses. The form of these axial stresses is determined from the solution of the first problem. Fourier and Hankel transforms have been used to solve the first problem. Next by means of the 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 in order to determine the variations of the dynamic stress intensity factor at the rim of the penny-shaped crack for some particular body force loading cases.
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