Phononic band structures for arrays of circular cavities in an elastic medium

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IUTAM Symposium on Diffraction and Scattering in Fluid Mechanics and Elasticity, 2002, 1, 68 pp. 95 - 104
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We study the propagation of elastic waves in a two-dimensional solid containing a doubly periodic array of circular holes. The method of multipoles expansions is employed here, so that it takes into account a coupling between shear and dilatational waves (this coupling occurs via the traction bou~dary conditions). As a result, we obtain an infinite system of linear algebraic equations, which can be truncated and solved numerically in order to determine the frequencies of the propagating modes. The algorithm has been implemented as a computer code used to construct the dispersion diagrams and analyse the filtering properties of the composite structure.
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