Effective speed of sound in phononic crystals

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.

4 pages, 1 figure

References in corpus (1)

• On the effective shear speed in 2D phononic crystals

Cited by in corpus (4)

• Effective anisotropy of periodic acoustic and elastic composites
• On the quasistatic effective elastic moduli for elastic waves in three-dimensional phononic crystals
• Shear surface waves in phononic crystals
• Converging bounds for the effective shear speed in 2D phononic crystals