A low porosity perforated mechanical metamaterial with negative Poisson’s ratio and band gaps

Chen, Wenjiong; Tian, Xiangyu; Gao, Renjing; Liu, Shutian

doi:10.1088/1361-665x/aae27c

Cited by 30 publications

(13 citation statements)

References 48 publications

(80 reference statements)

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“…It was demonstrated anisotropy in stiffness could be achieved and exceed 3 orders of magnitude, which could be rationally tuned for transformation acoustic applications. A cellular metamaterial with both negative Poisson's ratio and tunable acoustic band gap has been developed recently by Chen et al via tailoring its geometric parameters such as length of unit cell, porosity and aspect ratio of the individual pores . Yu et al have also developed a stimuli‐responsive acoustic metamaterial based on an octet‐truss topology made of ferromagnetic nanoparticle‐filled elastomer .…”

Section: Typical Examples Of Mechanical Metamaterialsmentioning

confidence: 99%

Mechanical Metamaterials and Their Engineering Applications

et al. 2019

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In the past decade, mechanical metamaterials have garnered increasing attention owing to its novel design principles which combine the concept of hierarchical architecture with material size effects at micro/nanoscale. This strategy is demonstrated to exhibit superior mechanical performance that allows us to colonize unexplored regions in the material property space, including ultrahigh strength-to-density ratios, extraordinary resilience, and energy absorption capabilities with brittle constituents. In the recent years, metamaterials with unprecedented mechanical behaviors such as negative Poisson's ratio, twisting under uniaxial forces, and negative thermal expansion are also realized. This paves a new pathway for a wide variety of multifunctional applications, for example, in energy storage, biomedical, acoustics, photonics, and thermal management. Herein, the fundamental scientific theories behind this class of novel metamaterials, along with their fabrication techniques and potential engineering applications beyond mechanics are reviewed. Explored examples include the recent progresses for both mechanical and functional applications. Finally, the current challenges and future developments in this emerging field is discussed as well.

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Section: Typical Examples Of Mechanical Metamaterialsmentioning

confidence: 99%

Mechanical Metamaterials and Their Engineering Applications

et al. 2019

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“…From the viewpoint of acoustic property, auxetic porous metamaterials exhibit better low‐frequency sound absorption property than conventional porous materials 15,16,17 . Also, the auxetic phononic crystals are demonstrated to have lower frequency phononic bandgaps than phononic crystals with positive Poisson's ratio 18 …”

Section: Introductionmentioning

confidence: 99%

Highly tailorable electromechanical properties of auxetic piezoelectric ceramics with ultra‐low porosity

et al. 2020

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Conventional porous piezoelectric ceramics can possess superior figures of merit only at very high values of porosity, leading to bad fragileness, small stiffness, low toughness, and the difficulty of polarization. To this end, this study for the first time shows that it is possible that the piezoelectric ceramic with ultra‐low porosity is capable of superior figures of merit based on the concept of auxetic piezoelectric ceramics. Owing to the ultra‐low porosity and auxetic effect, the auxetic piezoelectric ceramic shall also possess larger stiffness, higher toughness, and is more easily polarized. First, the auxetic piezoelectric ceramic with ultra‐low porosity is proposed to achieve highly tunable electromechanical properties on the basis of the rotating square mechanism. Then, using a multiscale finite element method, the effects of geometric architecture and polarization directions on the electromechanical properties including Poisson's ratios, elastic coefficients, piezoelectric stress coefficients, dielectric coefficients, and figures of merit in the auxetic piezoelectric ceramics are investigated in detail. Furthermore, the stress fields in conventional and proposed porous piezoelectric ceramics subjected to mechanical and electrical loads are compared and discussed. Finally, it can be concluded that the auxetic piezoelectric ceramic exhibits (a) giant negative Poisson's ratios (smaller than ‐5), (b) negative elastic coefficients, (c) more extensible, higher piezoelectric sensitivity, lower acoustic impedance, stronger crack resistance than conventional porous piezoelectric ceramics with the same porosity, and (d) larger stiffness than conventional porous piezoelectric ceramics with similar figures of merit.

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“…Hence by distributing the energy to each of the local resonators, the vibration can be damped for a wide specific frequency range, and that energy can also be harvested. Based on interesting physical properties of the metamaterials, it can be characterized as negative mass (Srivastava 2015;Pope and Laalej 2014;Yao et al 2008;Huang et al 2009;Pope et al 2012), negative stiffness (Huang et al 2016;Huang and Sun 2011;Goldsberry and Haberman 2018;Huang and Sun 2012;Tan et al 2019;, negative Poisson's ratio (Meena et al 2019;Chen et al 2018;Alipour and Shariyat 2017;Chen et al 2017;Friis et al 1988;Dirrenberger et al 2013). Figure 1 portrays a conceptual illustration of the piezo-embedded negative mass metamaterial.…”

Section: Introductionmentioning

confidence: 99%

Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

Dwivedi

Banerjee

Adhikari

et al. 2021

Int J Mech Mater Des

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Elastic mechanical metamaterials are the exemplar of periodic structures. These are artificially designed structures having idiosyncratic physical properties like negative mass and negative Young’s modulus in specific frequency ranges. These extreme physical properties are due to the spatial periodicity of mechanical unit cells, which exhibit local resonance. That is why scientists are researching the dynamics of these structures for decades. This unusual dynamic behavior is frequency contingent, which modulates wave propagation through these structures. Locally resonant units in the designed metamaterial facilitate bandgap formation virtually at any frequency for wavelengths much higher than the lattice length of a unit. Here, we analyze the band structure of piezo-embedded negative mass metamaterial using the generalized Bloch theorem. For a finite number of the metamaterial units coupled equation of motion of the system is deduced, considering purely resistive and shunted inductor energy harvesting circuits. Successively, the voltage and power produced by piezoelectric material along with transmissibility of the system are computed using the backward substitution method. The addition of the piezoelectric material at the resonating unit increases the complexity of the solution. The results elucidate, the insertion of the piezoelectric material in the resonating unit provides better tunability in the band structure for simultaneous energy harvesting and vibration attenuation. Non-dimensional analysis of the system gives physical parameters that govern the formation of mechanical and electromechanical bandgaps. Optimized numerical values of these system parameters are also found for maximum first attenuation bandwidth. Thus, broader bandgap generation enhances vibration attenuation, and energy harvesting can be simultaneously available, making these structures multifunctional. This exploration can be considered as a step towards the active elastic mechanical metamaterials design.

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A low porosity perforated mechanical metamaterial with negative Poisson’s ratio and band gaps

Cited by 30 publications

References 48 publications

Mechanical Metamaterials and Their Engineering Applications

Mechanical Metamaterials and Their Engineering Applications

Highly tailorable electromechanical properties of auxetic piezoelectric ceramics with ultra‐low porosity

Optimal electromechanical bandgaps in piezo-embedded mechanical metamaterials

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