Abstract
Dispersion relations for the propagation of elastic waves in a lamellar periodic composite are obtained for wavelengths that are long as compared with the intercomponent spacings. This yields exact explicit expressions for the complete set of five independent, elastic constants of the material, in terms of geometrical data and the elastic constants of the constituents. The expressions are valid for any spatially varying elastic moduli and for density-showing periodic structure and mirror symmetry within the elementary cell.
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