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Disturbance from a circularly symmetric load spreading over an acoustic half-space

STANFORD RESEARCH INSTITUTE, MENLO PARK, CALIFORNIA

Abstract

An exact closed form solution for the disturbance due to a circularly symmetric load spreading arbitrarily from a point on the surface of an acoustic half-space is presented using the Laplace and Hankel transforms. The pressure distribution inside the loaded area is assumed uniform at each time. Wave-front surfaces are discovered and analyzed. Explicit expressions for stress and surface displacement fields are obtained. Simple formulas for the stresses on the axis of symmetry and at the wave front are given.