THE NATURE OF AXISYMMETRIC WAVE FIELDS IN ELASTIC SOLIDS,
RAND CORP SANTA MONICA CALIF
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Expressions for the displacements established in an infinite half-space by a concentrated unit impulse which is a step function of time are determined by extending to the axially symmetric case, the procedure of F. Sauters previously applied to the concentrated line shock in two dimensions. The results are used to prove that a pulse in acoustic material travels without dilatation, rotation, or acceleration. Some evidence is presented for the conjecture that wave transmission may depend upon the fact that Poissons ratio is above or below a critical value. The importance of this basic problem to related problems in fracture initiation, spalling, explosive loads, seismology, wave reinforcements in plates of finite thickness is briefly noted.