Title: THE ANALYSIS OF APPROXIMATE SOLUTIONS OF A SPHERICAL CAVITY EXPANSION IN A SOIL MEDIUM PROBLEM
Abstract: The solutions of a problem of a spherical cavity expansion from a point to an infinite soil medium are presented. Compressibility of the soil is described by the impact adiabat in the form of the linear relation combining shock wave velocity and mass velocity behind the wave front. The analytical problem solution under the assumption of medium incompressibility behind the wave front and the numerical solution in complete formulation are obtained. The proximity of both solutions is shown for supersonic velocities of the cavity expansion. Keywords: impact adiabat, spherical cavity expansion, local interaction model, compressible soil medium.