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Optimized phononic crystals for bandGap and metamaterial properties
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Paper Abstract

In this paper we use level set topology optimization to reveal novel phononic crystal topologies which give rise to metamaterial properties including negative and singular effective properties. The level set formalism has been developed on the basis of polynomial functions, the locations of whose zeros control the distribution of material phases. This significantly reduces the number of design variables involved and allows us to search very large design spaces using global optimization techniques. Optimization process reveals that a 2-phase unit cell in which one of the phases is simultaneously lighter and stiffer than the other results in dynamic behavior which has all the attendant characteristics of a locally resonant composite. This behavior is further explored through the use of mode shape analysis. Results presented in this paper are also an example of how purely computational techniques can illuminate novel physical phenomenon.

Paper Details

Date Published: 27 March 2018
PDF: 8 pages
Proc. SPIE 10600, Health Monitoring of Structural and Biological Systems XII, 106001X (27 March 2018); doi: 10.1117/12.2298426
Show Author Affiliations
Amir Ashkan Mokhtari, Illinois Institute of Technology (United States)
Yan Lu, Illinois Institute of Technology (United States)
Ankit Srivastava, Illinois Institute of Technology (United States)


Published in SPIE Proceedings Vol. 10600:
Health Monitoring of Structural and Biological Systems XII
Tribikram Kundu, Editor(s)

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