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: | článek article |
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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acm_vol3no1_p01.pdf | 334,87 kB | Adobe PDF | View/Open |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/1561
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