INTERACTION OF PLANE ELASTIC WAVES WITH A CYLINDRICAL CAVITY
ILLINOIS UNIV AT URBANA
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A method is presented for computing stresses in the vicinity of a long cylindrical cavity in an infinite, elastic, isotropic, homogeneous medium when the cavity is enveloped by a plane stress wave traveling in a direction perpendicular to its axis. Hoop stresses around the cavity bound ary were computed for the passage of a wave of dilation and a wave of pure shear the stresses in the medium away from the boundary were com puted for a wave of dilation. Initially the stress behind the incident wave front was con sidered to be constant. The effect of a stress decay behind the front was then computed by using the Duhamel integral for the case of an incident wave of dilation. The method of solution of the problem involves superposition of the stress field of an incoming plane step wave and a stress field corresponding to waves which diverge from a line source.