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arXiv · 1106.5412

Effective speed of sound in phononic crystals

A. A. Kutsenko·A. L. Shuvalov·A. N. Norris
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Abstract

A new formula for the effective quasistatic speed of sound $c$ in 2D and 3D periodic materials is reported. The approach uses a monodromy-matrix operator to enable direct integration in one of the coordinates and exponentially fast convergence in others. As a result, the solution for $c$ has a more closed form than previous formulas. It significantly improves the efficiency and accuracy of evaluating $c$ for high-contrast composites as demonstrated by a 2D example with extreme behavior.

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A. A. Kutsenko, A. L. Shuvalov, A. N. Norris. 2011-06-27. Effective speed of sound in phononic crystals. https://doi.org/10.1121/1.3654032

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