Three-phase phononic materials
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 coeff...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of West Bohemia
2009-06-01
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| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol3no1_p01.pdf |
| Summary: | 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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| ISSN: | 1802-680X |