Dynamic response of unsupported and supported cavities in an elastic half-space under moving normal and torsional loads

Abstract

This study explores the impact of uniformly moving normal and torsional loads along an infinitely long circular cylindrical cavity, situated within a half-space (body), on the behavior of the elastic half-space. The cavity is either unreinforced or reinforced by a thin-walled elastic shell. To describe the motion of the body and the shell, dynamic equations of elasticity theory in the Lamé potentials and equations of the classical shell theory are used, respectively. The equations are represented in coordinate systems moving together with the loads (cylindrical or Cartesian). The method of integral Fourier transform is used to determine the stress-strain state (SSS) of the half-space. The solution to this problem considers waves reflected from the boundary of the half-space, which occur during the movement of loads, instead of assuming the body is an elastic space like similar works. The results of numerical experiments are presented, illustrating the influence of the shell on the deformed state of the half-space boundary under the action of axisymmetric normal and shear loads, which are uniformly applied within a certain range and move at a constant speed.