Focusing and Mode Separation of Elastic Vector Solitons in a 2D Soft Mechanical Metamaterial

Deng, Bolei; Mo, Chengyang; Tournat, Vincent; Bertoldi, Katia; Raney, Jordan R.

doi:10.1103/physrevlett.123.024101

Cited by 48 publications

(34 citation statements)

References 35 publications

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“…Metamaterials comprised of lattice members are spatial periodic structures with unprecedented physical properties, mainly derived from the architecture of the repeated substructure, rather than the nature of the constituent materials. It is worth noting that extraordinary strength-to-weight and stiffness-to-weight ratios, frequency bandgaps, negative overall elastic moduli, negative mass density, auxeticity and solitary wave propagation represent characteristic and unconventional properties of such systems [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18], as well as a multistable mechanical response [19][20][21][22][23][24][25][26][27][28]. However, the additive manufacturing of multi-cell realizations of mechanical metamaterials remains a challenge at present, due to the difficulty of reproducing the desired behaviors at small scales [8,9,[29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Design and Testing of Bistable Lattices with Tensegrity Architecture and Nanoscale Features Fabricated by Multiphoton Lithography

2020

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A bistable response is an innate feature of tensegrity metamaterials, which is a conundrum to attain in other metamaterials, since it ushers unconventional static and dynamical mechanical behaviors. This paper investigates the design, modeling, fabrication and testing of bistable lattices with tensegrity architecture and nanoscale features. First, a method to design bistable lattices tessellating tensegrity units is formulated. The additive manufacturing of these structures is performed through multiphoton lithography, which enables the fabrication of microscale structures with nanoscale features and extremely high resolution. Different modular lattices, comprised of struts with 250 nm minimum radius, are tested under loading-unloading uniaxial compression nanoindentation tests. The compression tests confirmed the activation of the designed bistable twisting mechanism in the examined lattices, combined with a moderate viscoelastic response. The force-displacement plots of the 3D assemblies of bistable tensegrity prisms reveal a softening behavior during the loading from the primary stable configuration and a subsequent snapping event that drives the structure into a secondary stable configuration. The twisting mechanism that characterizes such a transition is preserved after unloading and during repeated loading-unloading cycles. The results of the present study elucidate that fabrication of multistable tensegrity lattices is highly feasible via multiphoton lithography and promulgates the fabrication of multi-cell tensegrity metamaterials with unprecedented static and dynamic responses.

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Section: Introductionmentioning

confidence: 99%

Design and Testing of Bistable Lattices with Tensegrity Architecture and Nanoscale Features Fabricated by Multiphoton Lithography

2020

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“…Highly deformable materials with architectured microstructure are nowadays accessible by virtue of the current manufacturing abilities (Bandyopadhyay et al, 2015, Truby and. These materials exhibit geometrical and constitutive nonlinearities that give rise to rich physics , and in particular diverse wave phenomena such as unidirectional transmission, shocks and self-reinforcing waves (Nadkarni et al, 2014, 2016, Samsonov et al, 2017, Ziv and Shmuel, 2019, Deng et al, 2019a, Katz and Givli, 2019. Waves in nonlinear solids have recently regained scientific and technological interest, owing to the realization that their features can be harnessed for various applications, such as signal transmission (Raney et al, 2016), impact mitigation (Yasuda et al, 2019), energy harvesting (Hwang and Arrieta, 2018) and mechanical diodes (Deng et al, 2018).…”

Section: Introductionmentioning

confidence: 99%

Observation of vector solitary waves in soft laminates using a finite volume method

Ziv¹,

Gal²

2020

Preprint

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Soft materials with engineered microstructure support nonlinear waves which can be harnessed for various applications, from signal communication to impact mitigation. Such waves are governed by nonlinear coupled differential equations whose analytical solution is seldom trackable, hence emerges the need for suitable numerical solvers. Based on a finite-volume method in one space dimension, we here develop a designated scheme for nonlinear waves with two coupled components that propagate in soft laminates. We apply our scheme to a periodic laminate made of two alternating compressible Gent layers, and consider two cases. In one case, we analyze a motion whose component along the lamination direction is coupled to a component in the layers plane, and discover vector solitary waves in a continuum medium. In the second case, we analyze a motion with two coupled components in the plane of the layers, and observe a train of linearly polarized solitary waves, followed by a single circularly polarized wave. The framework we developed offers a platform for further investigation of these waves and their extension to higher dimensional problems.

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“…Therefore, we aim to present how 3D printing can be utilized to its full potential, designing complex 3D structures with tailored dynamic properties. Furthermore, 3D design can be used for the control of mechanical signals in multiple directions and for the design of flexible systems with anisotropic 3D mechanical properties, depending on loading conditions and the desired direction of the output . The modeling of the dynamic behavior will also pave the way to efficiently design control systems that will be utilized for the closed‐loop control of soft robotic systems.…”

Section: Introductionmentioning

confidence: 99%

“…This is the paragon of the next‐generation mechanical signal transport, isolation, and energy storage . In addition, the combination of the architected design with the macroscopic dynamic loading conditions can provide the formation of distinct elastic vector solitons . These coupled waves can have significantly different formations depending on the direction of the wave, controlling not only the direction of the signal, but also its shape.…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, 3D design can be used for the control of mechanical signals in multiple directions and for the design of flexible systems with anisotropic 3D mechanical properties, depending on loading conditions and the desired direction of the output. [20] The modeling of the dynamic behavior will also pave the way to efficiently design control systems that will be utilized for the closed-loop control of soft robotic systems. This will mitigate the error to move the system to the desired position or apply the correct amount of force, which demands an in-depth analysis of the dynamic properties of the controlled system.…”

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confidence: 99%

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Tailoring the Dynamic Actuation of 3D‐Printed Mechanical Metamaterials through Inherent and Extrinsic Instabilities

Vangelatos

Zhang

et al. 2020

Adv Eng Mater

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Architected materials have facilitated a significant breakthrough in the control of the mechanical behavior of structures. Most notably, metamaterials with unprecedented properties can be easily designed in large scales, exhibiting high strength, [1] tunability of their properties, [2] resilience or versatility to large deformations, [3,4] and auxetic behavior. [5] In addition, 4D printed structures can modify their shape depending on the working environment. [6] Due to their chemical composition, these structures can modify their mechanical and electrochemical properties based on external stimuli. [7] This mechanism has substantial implications on the mechanical response of the material, furnishing stiffening of the structure or malleability on demand. Furthermore, designing structures that are also adaptive to actuation has given rise to the design of flexible 3D-printed mechanisms. [8] Flexible structures can be utilized for engineering applications requiring large but recoverable deformations, continuous motion, and high precision. A characteristic category of structures encompassing these properties are soft robotics. Soft robotic mechanisms are composed of rubber materials that can be electrically actuated to sustain nonlinear deformations. [9,10] Combining these designs with much stronger fiber components leads to the design of artificial muscles, [11] imitating animal motion [12] and having a significantly higher strength than simple soft robot systems. [13-15] Nevertheless, metamaterials also exhibit remarkable properties that are not observed in conventional systems. A characteristic example is the transport of mechanical signals with the proclivity to a specific direction. This has been accomplished through the design of nonreciprocal mechanical metamaterials. [16] In regular materials, the transmission of any physical quantity, such as mechanical signals or mechanical waves, is identical, regardless of geometrical or material asymmetries and defects between any two points in space. However, nonreciprocal metamaterials can alter this behavior, giving directionality to the transport of these mechanical quantities. This is the paragon of the next-generation mechanical signal transport, [17] isolation, [18] and energy storage. [19] In addition, the combination of the architected design with the macroscopic dynamic loading conditions can provide the formation of distinct elastic vector solitons. [20] These coupled waves can have significantly different formations depending on the direction of the wave, controlling not only the direction of the signal, but also its shape. The inexorable advances in 3D printing technology have enabled the fabrication of these structures. Techniques such as fused deposition modeling (FDM), [21]

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Focusing and Mode Separation of Elastic Vector Solitons in a 2D Soft Mechanical Metamaterial

Cited by 48 publications

References 35 publications

Design and Testing of Bistable Lattices with Tensegrity Architecture and Nanoscale Features Fabricated by Multiphoton Lithography

Design and Testing of Bistable Lattices with Tensegrity Architecture and Nanoscale Features Fabricated by Multiphoton Lithography

Observation of vector solitary waves in soft laminates using a finite volume method

Tailoring the Dynamic Actuation of 3D‐Printed Mechanical Metamaterials through Inherent and Extrinsic Instabilities

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