Normal impact response of a saturated porous cylinder with a penny-shaped crack

Abstract

The transient response of a saturated porous cylinder containing a penny-shaped crack and subjected to a suddenly applied normal loading is investigated. The general field equations of Biot’s theory are applied in the formulation in conjunction with the Laplace and integral transforms to reduce the mixed boundary-value problem to the solution of Fredholm integral equation of the second kind. A numerical Laplace inversion technique is used, and the time-dependent magnitudes of the local stress field near the crack border measured in terms of the dynamic stress-intensity factor are computed for selected material property values. These results are presented and compared to the results of dry medium to find out the influence of pore fluid and its extent on the dynamic stress-intensity factor.