Abstract
The response of a penny shaped crack embedded in an infinite, isotropic elastic medium to an incident plane harmonic shear wave is considered. The incident wave is assumed to be polarized in a plane perpendicular to the plane of the crack and to propagate along the axis of the crack. The problem is formulated in terms of a pair of coupled dual integral equations. These equations are then transformed into Fredholm equations of the second kind, suitable for iteration at low frequencies. The singular behavior of the stress components at the edge of the crack is discussed. It is shown that at low frequencies the stress intensity factors are always greater than those for a uniform static shear loading of the crack.
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