Stress Wave Propagation in the Ground Containing a Spherical Cavity : Solid-Mechanisc, Strength of Materials

Abstract

The governing equations of dynamic problems of elastic-viscoplastic three-dimensional soil containing spherical cavities are formulated by means of bipolar coordinates, adapting constitutive equations of normally consolidated clay. The stress wave propagation in the ground containing a spherical cavity of 0.5 m diameter at a 5 m depth is analyzed by the method of direct integration of the basic equations of the problem, when an axisymmetric dynamic load is applied to the boundary of the cavity. In the calculation, the change in pressure with depth from the ground surface is also taken into account for the initial state of the soil.