Transient Response of an Elastic Half Space to an Embedded Cylindrical Load by a Two-Spatial Characteristics Computer Code.

摘要

Stress wave propagation in a quarter-plane is presented here via the configuration of the following boundary value problem: The transient motion of an elastic half-space is considered, where an impulsive load is applied to the boundary of a cylindrical cavity embedded in the half-space. The cylindrical cavity extends from the free surface of the half-space into its infinite interior and the load is uniformly and radially distributed over the entire boundary of the cavity. The method consists of superimposing compatible kinematical relations, existing across strong discontinuity surfaces, on the multi-dimensional theory of characteristics. A wave grid is then constructed and the integration along these fronts is carried out numerically using the finite-difference technique. Although this method has already been established by the author it is repeated here in a modified version, for the sake of clarity. Stress distribution and velocity of the particles as well as longitudinal, shear, and head waves are revealed in the solution of the elastic quarter-plane. For the solution a new computer program is developed. The computer output consists of two kinds of lists and three kinds of plots for the variables.