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.
Transient Green's Function for the General Anisotropic Solid: An Alternative Form
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.
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Brock, L. M. (July 12, 2013). "Transient Green's Function for the General Anisotropic Solid: An Alternative Form." ASME. J. Appl. Mech. September 2013; 80(5): 051019. https://doi.org/10.1115/1.4023635
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