Title: Three-phase phononic materials
Authors: Cimrman, Robert
Rohan, Eduard
Citation: Applied and Computational Mechanics. 2009, vol. 3, no. 1, p. 5-16.
Issue Date: 2009
Publisher: University of West Bohemia
Document type: article
článek
URI: http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol3no1_p01.pdf
http://hdl.handle.net/11025/1561
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: plasticita;kompozitní materiály;heterogenní látky;homogenizace
Keywords in different language: plasticity;composition materials;heterogeneous substances;homogenization;combinatorics
Abstract: 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.
Rights: © 2009 University of West Bohemia. All rights reserved.
Appears in Collections:Volume 3, number 1 (2009)
Články / Articles (KME)
Články / Articles (MMI)
Volume 3, number 1 (2009)

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