Research Papers

Transient Green's Function for the General Anisotropic Solid: An Alternative Form

[+] Author and Article Information
L. M. Brock

Fellow ASME
Mechanical Engineering,
University of Kentucky,
265 RGAN,
Lexington, KY 40506-0503
e-mail: brock@engr.uky.edu

Contributed by the Applied Mechanics of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received August 27, 2012; final manuscript received January 8, 2013; accepted manuscript posted February 12, 2013; published online July 12, 2013. Assoc. Editor: John Lambros.

J. Appl. Mech 80(5), 051019 (Jul 12, 2013) (5 pages) Paper No: JAM-12-1422; doi: 10.1115/1.4023635 History: Received August 27, 2012; Revised January 08, 2013; Accepted February 12, 2013

The Green's function for the general anisotropic solid has been the subject of several studies. Here a variation of a standard integral transform approach allows the transient Green's function to be expressed in a somewhat different form. This alternative form is less compact, but features explicit integrals of functions in terms of polar and azimuthal angles defined with respect to the principal basis coordinates. Dimensionless expressions for the three anisotropic wave speeds are also given in terms of these angles, and sample calculations presented that show wave speed dependence on propagation direction. Some standard formalisms of anisotropic elasticity are not invoked, but similar terms are identified in the course of the analysis, and help define the solution expressions.

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