EXPONENTIALLY DECAYING PRESSURE PULSE MOVING WITH SUPERSEISMIC VELOCITY ON THE SURFACE OF A HALF SPACE OF VON MISES ELASTO-PLASTIC MATERIAL
Rept. for Oct 1967-May 1968
WEIDLINGER ASSOCIATES NEW YORK
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An approximate solution is given for the effect of an exponentially decaying pressure pulse traveling with superseismic velocity on the surface of a half-space. The half-space is an elastic-plastic material of the von Mises type. The effect of a step wave for this geometry and medium was treated previously. For that case, the peak pressures do not decrease with increase in depth, while such a decrease is obtained for a decaying surface load. The prime purpose of this investigation is to determine the magnitude of this attenuation. The approximate solutions obtained are valid for a limited distance behind the wave front, and are tabulated for different sets of parameters pertaining to the material and velocity. The tabulated results show that the peak pressures in the case of the decaying surface load do decrease with depth, but that the decrease is less than one might intuitively expect. On the other hand the attenuation is in general larger than that encountered in the similar problem of an elasto- plastic material of the Coulomb type.
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