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Research Papers

Multi-Objective Optimization of Layered Elastic Metamaterials With Multiphase Microstructures

[+] Author and Article Information
Weikai Xu

Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation,
Shenyang Aerospace University,
Shenyang 110136, China
e-mail: weikaixu@gmail.com

Wei Wang

School of Civil Engineering,
Shenyang Jianzhu University,
Shenyang 110168, China

Tianzhi Yang

Department of Astronautics,
Shenyang Aerospace University,
Shenyang 110136, China

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 30, 2012; final manuscript received February 21, 2013; published online June 6, 2013. Assoc. Editor: Massimo Ruzzene.

J. Vib. Acoust 135(4), 041010 (Jun 06, 2013) (6 pages) Paper No: VIB-12-1132; doi: 10.1115/1.4023900 History: Received April 30, 2012; Revised February 21, 2013

Layered elastic metamaterials, which simultaneously exhibit negative effective mass density and bulk modulus, can be obtained with a unit cell of multiphase materials. In this paper, a systematic method for the design of multiphase layered elastic metamaterials is presented, and single objective along with multiobjective optimization models are proposed. Using the multiobjective genetic algorithm, the topologies of the layered periodic unit cell are designed for target frequency band structures characterizing negative wavenumbers. These obtained metamaterials with periodic unit cells can exhibit a negative refractive index in several frequency spectrums. This will be a reference for the design of 2/3-D elastic/acoustic negative refraction metamaterials.

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Figures

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Fig. 1

The sketch of the unit cell

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Fig. 2

Case I: (a) the optimal topological configuration of the result (half of the cell), (b) the dispersion curves, (c) bulk modulus, and (d) mass density

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Fig. 3

The Pareto diagram of the multiobjective design

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Fig. 4

Case II: (a) the topological configuration of the design selected from the Pareto front (half of the cell), (b) the dispersion curves, (c) bulk modulus, and (d) mass density

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