Elastic moduli approximation of higher symmetry for the acoustical properties of an anisotropic material

2005/11/30 by Andrew N. Norris · 4 citations
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Aerodynamics and Acoustics in Jet Flows #Composite Material Mechanics #cond-mat.mtrl-sci

paper · pdf · doi:10.1121/1.2173525

published as Journal of the Acoustical Society of America, Vol. 119, No. 4. (2006), pp. 2114-2121. · 20 pages

arxiv created 2006/01/20 · openalex publication_date 2006/03/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The issue of how to define and determine an optimal acoustical fit to a set of anisotropic elastic constants is addressed. The optimal moduli are defined as those which minimize the mean-squared difference in the acoustical tensors between the given moduli and all possible moduli of a chosen higher material symmetry. The solution is shown to be identical to minimizing a Euclidean distance function, or equivalently, projecting the tensor of elastic stiffness onto the appropriate symmetry. This has implications for how to best select anisotropic constants to acoustically model complex materials.

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