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The response of an unbounded
homogeneous general anisotropic solid to dislocation growth can be obtained from a
convolution of the body force equivalent of the dislocation with the Green’s function.
This work considers the transient case of a surface of discontinuity in displacement
that expands with time from a point source. The expansion rate is subsonic, but
largely arbitrary otherwise. The surface need not be planar, and if so, need not lie
in a principal material plane. Some differences in procedure from related
studies are noted. The solution expressions use a dislocation description in
terms of surface geometry, and have a hybrid but somewhat more explicit
form.
Keywords
transient 3D, dislocation, exact solution, general
anisotropy, wave speeds