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Research Papers

Tunable Two-Way Unidirectional Acoustic Diodes: Design and Simulation

[+] Author and Article Information
Yingjie Chen

Key Laboratory of Soft Machines and Smart
Devices of Zhejiang Province,
Zhejiang University,
Hangzhou, 310027, China;
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou, 310027, China

Bin Wu

Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Torino, 10129, Italy

Yipin Su

Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Zhejiang University,
Hangzhou, 310027, China;
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou, 310027, China;
School of Mathematics,
Statistics and Applied Mathematics,
NUI Galway,
University Road,
Galway, H91 TK33, Ireland

Weiqiu Chen

Key Laboratory of Soft Machines and
Smart Devices of Zhejiang Province,
Zhejiang University,
Hangzhou, 310027, China;
State Key Lab of CAD and CG,
Zhejiang University,
Hangzhou, 310058, China;
Department of Engineering Mechanics,
Zhejiang University,
Hangzhou, 310027, China;
Soft Matter Research Center,
Zhejiang University,
Hangzhou, 310027, China
e-mail: chenwq@zju.edu.cn

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received November 12, 2018; final manuscript received December 16, 2018; published online January 8, 2019. Editor: Yonggang Huang.

J. Appl. Mech 86(3), 031010 (Jan 08, 2019) (9 pages) Paper No: JAM-18-1641; doi: 10.1115/1.4042321 History: Received November 12, 2018; Revised December 16, 2018

Predeformation simultaneously changes the effective material stiffness as well as the geometric configuration and therefore may be utilized to tune wave propagation in soft phononic crystals (PCs). Moreover, the band gaps of soft PCs, as compared with those of the hard ones, are more sensitive to the external mechanical stimuli. A one-dimensional tunable soft acoustic diode based on soft functionally graded (FG) PCs is proposed. The two-way asymmetric propagation behavior is studied at the resonant frequency within the band gap. Numerical results show that the operating frequency (i.e., the resonant peak) of the soft graded acoustic diode can be altered by adjusting the mechanical biasing fields (including the longitudinal prestress and the lateral equibiaxial tension). The adjustment becomes significant when the strain-stiffening effect of the Gent hyperelastic material is properly harnessed. Furthermore, the prestress or equibiaxial tension can affect the two-way filtering of the soft FG PC in a separate and different manner. In addition, it is much easier to realize the tunable acoustic diode by exploiting soft FG materials with stronger compressibility. It is shown that the introduction of acoustic impedance is beneficial for predicting the tunable effects. The simulations and conclusions should provide a solid guidance for the design of tunable two-way unidirectional acoustic diodes made from soft hyperelastic materials.

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Figures

Grahic Jump Location
Fig. 1

Diagram of a soft-graded PC under mechanical biasing fields

Grahic Jump Location
Fig. 2

Dispersion relations of the nongraded PC of Gent model under different prestresses

Grahic Jump Location
Fig. 3

Variations of (a) acoustic impedance and (b) stretch along the x3 direction with prestress for the nongraded PC of Gent model

Grahic Jump Location
Fig. 4

Dispersion relations of the nongraded PC of neo-Hookean model under different prestresses

Grahic Jump Location
Fig. 5

Variations of (a) acoustic impedance and (b) stretch along the x3 direction with prestress for the nongraded PC of neo-Hookean model

Grahic Jump Location
Fig. 6

Dispersion relations of the nongraded PC of Gent model under different equibiaxial tensions and fixed prestress (τ̃330=4)

Grahic Jump Location
Fig. 7

Variations of (a) acoustic impedance and (b) stretch along the x3 direction with equibiaxial tension for the nongraded PC of Gent model

Grahic Jump Location
Fig. 8

Transmission spectra under different prestresses (KA=0.02, KB=0.02)

Grahic Jump Location
Fig. 9

Transmission spectra at different equibiaxial tensions (KA=0.02, KB=0)

Grahic Jump Location
Fig. 10

Displacement distributions of two oppositely propagating waves at the respective resonant frequency peaks (ω̃=11.54,11.84)

Grahic Jump Location
Fig. 11

Variations of (a) acoustic impedance and (b) stretch along the x3 direction with prestress for the nongraded PC of Gent model when υA=υB=0.45

Grahic Jump Location
Fig. 12

Variations of (a) acoustic impedance and (b) stretch along the x3 direction for υA=υB=0.45, and (c) acoustic impedance ratios for different Poisson's ratios with equibiaxial tension for the nongraded PC of Gent model

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