Vol. 8, No. 2-4, 2013

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Transient response of a general anisotropic solid to dislocation growth: alternative formulation

Louis Milton Brock

Vol. 8 (2013), No. 2-4, 233–246
Abstract
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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
Milestones
Received: 7 January 2013
Revised: 5 March 2013
Accepted: 5 March 2013
Published: 6 October 2013
Authors
Louis Milton Brock
Department of Mechanical Engineering
University of Kentucky
265 Ralph G. Anderson Building
Lexington, KY 40506-0503
United States