Wave propagation in an elastic metamaterial with anisotropic effective mass density

jaberzadeh, mehran; Li, Bing; Tan, K. T.

doi:10.1016/j.wavemoti.2019.03.009

Cited by 35 publications

(12 citation statements)

References 33 publications

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“…It is easily seen from Eq. 1 that, when the frequency 𝜔𝜔 approaches 𝜔𝜔 0 from above the effective mass 𝑚𝑚 𝑒𝑒𝑒𝑒𝑒𝑒 will be negative [11][12][13][14][15][16]. Eq.…”

Section: The Effect Of the Negative Effective Mass In The Gravitating...mentioning

confidence: 99%

“…The negative effective mass emerging in the core-spring-shell system, depicted in Figure 1A reflects the fact that the acceleration of the shell at certain conditions (to be discussed in detail below) is in the opposite direction to the applied force [1, [8][9][10]. Consequently, the chain of the core-spring-shell elements, depicted in Figure 1A demonstrates the paradoxical effective negative density [8,[11][12][13][14]. The effect of the negative effective density, in turn, opens the new pathways for the development of novel acoustic metamaterials [15].…”

Section: Introductionmentioning

confidence: 99%

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The Effect of Negative Mass in Gravitating System<strong> </strong>

Bormashenko¹

2022

Preprint

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The effect of the negative effective mass emerging in the gravitating core-spring-shell system is considered. The effect appears when the entire system is exerted to the external harmonic force and the frequency of external force approaches to the critical frequency from above. The critical frequency depends on the density of the self-gravitating system only. The scaling law predicting the value of for condensed phases is derived. The generalization of the effect for the Coulomb-like forces is reported

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Section: The Effect Of the Negative Effective Mass In The Gravitating...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Effect of Negative Mass in Gravitating System<strong> </strong>

Bormashenko¹

2022

Preprint

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“…For the first design case, the base material properties of the laminate are E 1 = 139 GPa, E 2 = 9 GPa, ν 12 = 0.32, G 12 = 5.5 GPa, ρ 0 = 1560 kg m −3 , which are taken from [41] for structural analysis of a wind turbine blade. (3,4), and even (10,11) as long as the layer angles are chosen properly. In fact, according to equation (11), the theoretical lower limit of γ is 2.…”

Section: Design Casementioning

confidence: 99%

“…The proposed concept of fiber-reinforced composite metamaterials in this work offers a new way to design metamaterials. Previously, one can embed a soft-layer-coated mass in a stiff matrix [1,5,10], or add a mass on a stiff matrix through a soft layer [11,[38][39][40] to design locally resonant metamaterials with/without mass anisotropy. One can also cut periodic slits in a matrix for specific anisotropic stiffness [15][16][17] or mass anisotropy [8].…”

Section: Introductionmentioning

confidence: 99%

Fiber-reinforced composite metamaterials for mode conversion of elastic waves

Yang¹,

Chai²,

Li³

2021

J. Phys. D: Appl. Phys.

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Metamaterials are a class of man-made composites that can realize extraordinary wave phenomena and can be designed through exploiting anisotropy of elastic media. Anisotropy, as is known, is also an inherent characteristic of classical composites. Therefore, there is a great potential that the anisotropy of classical composites can be utilized to achieve extraordinary manipulation of elastic waves. To this end, we propose a concept of fiber-reinforced composite metamaterials, which attains extraordinary wave properties with rationally designed ply angles. Specifically, we consider the phenomenon of transmodal Fabry-Perot interference. This phenomenon, which can transfer wave energy between longitudinal and transverse modes solely and maximally, requires that the interferometer should attain unique anisotropy. Based on the transmodal interference theory and the classical lamination theory, the composite metamaterials are designed and validated numerically and experimentally. We note that the base material properties of each layer can significantly affect the metamaterial design, and an anisotropy index is introduced to investigate the effects. Our work broadens the applications of classical composites and offers a new way to design metamaterials.

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“…The acoustic metamaterials proposed in the literature are mostly in a plate-like form with intrinsic [14,15] or extrinsic [16,17] resonant structures. More specifically speaking, intrinsic metamaterial has the resonant substructure built inside the plate-like structure while the extrinsic one has the resonant substructure appended on the base plate.…”

Section: Introductionmentioning

confidence: 99%

Design and noise-reduction simulation of an acoustic metamaterial plate incorporating tunable shape memory cantilever absorbers

Xu¹,

Wu²,

Lee³

2022

J. vibroeng.

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Metamaterials are materials having artificially tailored internal structure and unusual physical and mechanical properties. Due to their unique characteristics, metamaterials possess great potential in engineering applications. This study proposes a tunable metamaterial for the applications in acoustic isolation. Therefore, a stopband in the dispersion curve can be created because of the energy gap. For the conventional metamaterial, the stopband is fixed. Although the metamaterial with tunable characteristics has been proposed in the literature to extend its working stopband, the efficacy is usually compromised. In this study, cantilevers of tunable shape memory materials (SMM) via controlled phase transformation are incorporated into the metamaterial plate. Its theoretical finite element formulation for determining the dynamic characteristics is established. The effect of the configuration of the SMM cantilever absorbers on the metamaterial plate for the desired stopband in wave propagation is simulated by using finite element model and a commercial multi-physics software. The result demonstrates the tunable capability on the stopband of the metamaterial plate under different activation controls of the SMM absorbers, and shows the ability to trap the vibration at the designed frequency and prevent vibration wave from propagating downstream in different absorber arrangements and alloy phases. It should be beneficial to precision machinery and defense industries which have desperate need in vibration and noise isolation.

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Wave propagation in an elastic metamaterial with anisotropic effective mass density

Cited by 35 publications

References 33 publications

The Effect of Negative Mass in Gravitating System<strong> </strong>

The Effect of Negative Mass in Gravitating System<strong> </strong>

Fiber-reinforced composite metamaterials for mode conversion of elastic waves

Design and noise-reduction simulation of an acoustic metamaterial plate incorporating tunable shape memory cantilever absorbers

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