Wavefront singularities associated with the conical point in elastic solids with cubic symmetry

The wavefronts from a point source in a solid with cubic symmetry are examined with particular attention paid to the contribution from the conical points of the slowness surface. An asymptotic solution is developed that is uniform across the edge of the cone in real space, the interior of which contains the plane lid wavefront analyzed by Burridge [R. Burridge, The singularity on the plane lids of the wave surface of elastic media with cubic symmetry, Q. J. Mech. Appl. Math. 20 (1967), 41-56]. The uniform solution also contains the regular wavefronts away from the cone edge, a delta pulse on one side and its Hilbert transform on the other. In the direction of the cone edge the three wavefronts merge to produce a singularity of the form H(t)t−3/4.