Stress waves in a cylindrical body interacting with external medium

Abstract

The unsteady-state axisymmetric problem of longitudinal interaction of a cylindrical body with external elastic medium is considered in the paper. The condition of Coulomb friction is accepted at the contact boundary. The solution is implemented by the finite difference method. The results are shown in graphs and analyzed. The changes in stress, velocity, and displacement of particles at some points of a cylindrical body and external medium are presented. An increase in longitudinal stresses and particle velocities in the cylinder was determined when compared to a given load due to the outflow of strain energy from the external medium. The mechanism of strain energy redistribution and friction forces formation is shown, the changes in the direction of contact forces action are revealed. A significant violation of the uniform deformability of the medium, and possible maximum value that occurs in a cylindrical body, is determined. The established dependences of tangential stresses on relative displacements qualitatively coincide with experimental data obtained during the interaction of fragments of underground pipelines with soil.