Three-phase phononic materials

Autor: Rohan E., Cimrman R.
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Applied and Computational Mechanics, Vol 3, Iss 1, Pp 5-16 (2009)
Druh dokumentu: article
ISSN: 1802-680X
Popis: We consider a strongly heterogeneous material consisting of three phases: an elastic matrix, medium-size inclusions periodically embedded in the elastic matrix; these inclusions are constituted by small rigid inclusions coated by a very compliant material. The dependence on scale of elasticity coefficients of the deformable medium-size inclusions is treated in the context of linear elasticity by the homogenization procedure providing a limit model that inherently describes band gaps in acoustic wave propagation. The band gaps occur for certain intervals of long wavelengths for which a frequency-dependent "mass density" tensor is negative. We illustrate the theoretical results with numerical simulations.
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