Diode behavior and nonreciprocal transmission in nonlinear elastic wave metamaterial

Li, Zhen-Ni; Yuan, Bo; Wang, Yi–Ze; Shui, Guoshuang; Zhang, Chuanzeng; Wang, Yue-Sheng

doi:10.1016/j.mechmat.2019.03.010

Cited by 45 publications

(11 citation statements)

References 50 publications

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“…Finally, we point out that nonreciprocal transmission of acoustic/elastic waves can be achieved in principle based on structural asymmetry or material nonlinearity (Li et al, 2018(Li et al, , 2019bChen et al, 2019). Using functionally graded SEA materials to design actively tunable acoustic/elastic diodes is an interesting topic to address in the future.…”

Section: Discussionmentioning

confidence: 98%

Nonlinear response and axisymmetric wave propagation in functionally graded soft electro-active tubes

Wu,

Destrade,

Chen

2020

Preprint

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Soft electro-active (SEA) materials can be designed and manufactured with gradients in their material properties, to modify and potentially improve their mechanical response in service. Here, we investigate the nonlinear response of, and axisymmetric wave propagation in a soft circular tube made of a functionally graded SEA material and subject to several biasing fields, including axial pre-stretch, internal/external pressure, and through-thickness electric voltage. We take the energy density function of the material to be of the Mooney-Rivlin ideal dielectric type, with material parameters changing linearly along the radial direction. We employ the general theory of nonlinear electro-elasticity to obtain explicitly the nonlinear response of the tube to the applied fields. To study wave propagation under inhomogeneous biasing fields, we formulate the incremental equations of motion within the state-space formalism. We adopt the approximate laminate technique to derive the analytical dispersion relations for the small-amplitude torsional and longitudinal waves superimposed on a finitely deformed state. Comprehensive numerical results then illustrate that the material gradients and biasing fields have significant influences on the static nonlinear response and on the axisymmetric wave propagation in the tube. This study lays the groundwork for designing SEA actuators with improved performance, for tailoring tunable SEA waveguides, and for characterizing non-destructively functionally graded tubular structures.

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Section: Discussionmentioning

confidence: 98%

Nonlinear response and axisymmetric wave propagation in functionally graded soft electro-active tubes

Wu,

Destrade,

Chen

2020

Preprint

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“…Compared with conventional linear ultrasonic technologies, nonlinear ultrasonic testing technology is more sensitive to microstructural changes in a material [23][24][25]. Studies indicate that the stress of mechanical components can affect the nonlinear properties of ultrasonic waves [26,27].…”

Section: Introductionmentioning

confidence: 99%

Application of Nonlinear Lamb Wave Mixing Method for Residual Stress Measurement in Metal Plate

Jiao

Gao

et al. 2023

Chin. J. Mech. Eng.

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Harmonic nonlinear ultrasound can offer high sensitivity for residual stress measurements; however, it cannot be used for local stress measurements at a point in space and exhibits nonlinear distortions in the experimental system. This paper presents a feasibility study on the measurement of residual stress in a metal plate using a nonlinear Lamb wave-mixing technique. The resonant conditions for two Lamb waves to generate a mixing frequency wave are obtained via theoretical analysis. Finite element simulations are performed to investigate the nonlinear interactions between the two Lamb waves. Results show that two incident A0 waves interact in regions of material nonlinearity and generate a rightward S0 wave at the sum frequency. Residual stress measurement experiments are conducted on steel plate specimens using the collinear Lamb wave-mixing technique. By setting different delays for two transmitters, the generated sum-frequency component at different spatial locations is measured. Experimental results show that the spatial distribution of the amplitude of the sum-frequency component agrees well with the spatial distribution of the residual stress measured using X-rays. The proposed collinear Lamb wave-mixing method is effective for measuring the distribution of residual stress in metal plates.

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“…In the last few decades, metamaterials consisting of artificially designed unit cells have opened a new way to manipulate wave and vibration, which was impossible with the conventional approaches. Metamaterials have been vigorously studied in various applications, such as bandgap preventing wave propagation 1 – 4 , refracting wave in a negative refraction angle 5 – 9 , achieving diode-like behavior of wave 10 – 13 , or overcoming the diffraction limit and achieving super-resolution 14 – 17 . Among these fascinating phenomena, metamaterial cavity has been gathered much attention due to its capability of wave (or vibration) energy manipulation.…”

Section: Introductionmentioning

confidence: 99%

Highly tunable low frequency metamaterial cavity for vibration localization

Park

Seung

2022

Sci Rep

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Metamaterial cavity has gathered much attention recently due to its capability of localizing vibration energy. Despite the active research, however, there are still big technical challenges not solved yet. Especially, there has been no approach to maximize the wave localization performance of metamaterial cavity; therefore, there has been a possibility that obtained cavity mode does not show sufficiently high performance. Also, there is a tunability issue that whole metamaterials should be re-designed to tune the cavity frequency. Here, we present the metamaterial cavity system that can control its cavity mode frequency from 589 to 2184 Hz by adjusting the cavity length from 140 to 60 mm without re-designing the whole metamaterial based on the broad bandgap. Also, the performance of the obtained cavity mode can be improved by adjusting the length of the side beam attached to the metamaterial; the displacements are amplified more than 18–110 times. Consequently, one may easily obtain the highly localized vibration energy at the desired frequency by adjusting two geometric parameters based on the proposed metamaterial cavity system. Numerical and experimental supports are provided to validate our new metamaterial cavity system. This metamaterial cavity system is expected to provide a guideline for localizing vibration energy in various applications, such as energy harvesting, sensing or vibration dissipation.

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Diode behavior and nonreciprocal transmission in nonlinear elastic wave metamaterial

Cited by 45 publications

References 50 publications

Nonlinear response and axisymmetric wave propagation in functionally graded soft electro-active tubes

Nonlinear response and axisymmetric wave propagation in functionally graded soft electro-active tubes

Application of Nonlinear Lamb Wave Mixing Method for Residual Stress Measurement in Metal Plate

Highly tunable low frequency metamaterial cavity for vibration localization

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