THEORETICAL STUDY OF ENERGY DISTRIBUTION IN A HALF-SPACE RESULTING FROM DYNAMIC LOADING IN A DEPRESSION AT THE ORIGIN

摘要

An analysis of the free-field ground motion in the elastic region due to the energy delivered directly to the ground by a nuclear weapon is presented. The problem is approached along two different lines. One of these approaches treats the elastic region as a cratered half-space, where the hemi-spherical boundary of the crater is subjected to the pressure history exerted by a hydrodynamic region within the crater. The other approach treats the elastic region as a complete half-space, a portion of which has initial motion and pressures corresponding to the state of the hydrodynamic region at some instant when its behavior is becoming more nearly elastic than hydrodynamic.