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28 April 2011 Overall dynamic constitutive relations for layered elastic composites
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Abstract
A method for homogenization of an elastic composite with periodic microstructure is presented, focusing on the Floquet-type elastic waves. The resulting homogenized frequency-dependent elasticity and mass-density then automatically satisfy the overall conservation laws and by necessity produce the exact dispersion relations. The method is used to calculate the dynamic effective parameters for a layered composite by using the exact solution.
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Ankit Srivastava and Sia Nemat-Nasser "Overall dynamic constitutive relations for layered elastic composites", Proc. SPIE 7978, Behavior and Mechanics of Multifunctional Materials and Composites 2011, 797828 (28 April 2011); https://doi.org/10.1117/12.880648
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