Metamaterials with Giant and Tailorable Nonreciprocal Elastic Moduli

Shaat, Mohamed; Moubarez, M.A.; Khan, Mehmood; Khan, M.A.; Alzo’ubi, Abdel Kareem

doi:10.1103/physrevapplied.14.014005

Cited by 12 publications

(4 citation statements)

References 27 publications

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“…[ 3–6 ] Another application of metamaterials that also constitutes a pivotal aspect of research in this domain concerns mechanical metamaterials. [ 7–12 ] Recently, nonlinear elastic wave metamaterial with material nonlinearity has been also investigated. [ 13–15 ] The authors demonstrate that elastic waves with the fundamental and double frequencies can be generated by the interaction between an incident wave and material nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Evolution of Sasa–Satsuma Rogue Waves, Breather Solutions, and New Special Wave Phenomena in a Nonlinear Metamaterial

Essama

Essiane

Biya-Motto

et al. 2020

Physica Status Solidi (b)

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Herein, the behavior of the soliton light pulse when quintic –nonlinearity, third‐order dispersion, and self‐steepening come into play in a nonlinear metamaterial for both negative index and absorption regimes is presented. The collective coordinate technique is used with the conventional Gaussian ansatz function to give a good characterization of the pulse profile. In addition to that the ansatz function presents six coordinates describing the internal behavior of the pulse during the propagation. Furthermore, the main goal of this work is to give an exact measure of the internal behavior leading to the generation of rogue events by collective coordinates. Some interesting results are found when the aforementioned linear and nonlinear effects gradually come into play. Among them is the generation of different forms of breather solutions, divergent wave trains, different forms of Sasa–Satsuma rogue waves, parabolic wave trains, Peregrine rogue waves, and “tree structures”. Some special phenomena known as deletion, translation, attenuation, and wall of waves are also shown. However, some new exact rogue solutions of the cubic–quintic nonlinear Schrödinger equation are also found.

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Section: Introductionmentioning

confidence: 99%

Dynamical Evolution of Sasa–Satsuma Rogue Waves, Breather Solutions, and New Special Wave Phenomena in a Nonlinear Metamaterial

Essama

Essiane

Biya-Motto

et al. 2020

Physica Status Solidi (b)

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“…One simple example is the realization of nonreciprocal transmission of the displacement field through the fabrication of silicon rubber into a fishbone-structured metamaterial ( 10 ). However, mechanical nonreciprocity has so far mainly been realized through the complicated design of active robotics ( 15 , 16 ) or metamaterial frameworks ( 17 , 18 ). Even the most advanced systems still rely on the shaping and connection of reciprocal materials, which limits the design freedom and practical applications of such systems.…”

mentioning

confidence: 99%

Mechanical nonreciprocity in a uniform composite material

Wang

et al. 2023

Science

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Mechanical nonreciprocity, or the asymmetric transmission of mechanical quantities between two points in space, is crucial for developing systems that can guide, damp, and control mechanical energy. We report a uniform composite hydrogel that displays substantial mechanical nonreciprocity, owing to direction-dependent buckling of embedded nanofillers. This material exhibits an elastic modulus more than 60 times higher when sheared in one direction compared with the opposite direction. Consequently, it can transform symmetric vibrations into asymmetric ones that are applicable for mass transport and energy harvest. Furthermore, it exhibits an asymmetric deformation when subjected to local interactions, which can induce directional motion of various objects, including macroscopic objects and even small living creatures. This material could promote the development of nonreciprocal systems for practical applications such as energy conversion and biological manipulation.

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“…Some of these nonlinearity-based approaches utilized inhomogeneous materials with properties that spatially vary 29 – 31 or materials with microstructural-nonlinear defects 29 , 32 – 39 to achieve dynamic nonreciprocity. Other approaches, on the other hand, depended on large-deforming the material to activate some nonlinear bifurcations, and hence the realization of dynamic nonreciprocity 40 , 41 and static nonreciprocity 7 , 42 . These studies provided insightful understanding of the realization of nonreciprocity in nonlinear-passive media.…”

Section: Introductionmentioning

confidence: 99%

Nonreciprocal elasticity and the realization of static and dynamic nonreciprocity

Shaat¹

2020

Sci Rep

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The realization of the mechanical nonreciprocity requires breaking either the time-reversal symmetry or the material deformation symmetry. The time-reversal asymmetry was the commonly adopted approach to realize dynamic nonreciprocity. However, a static nonreciprocity requires—with no any other option—breaking the material deformation symmetry. By virtue of the Maxwell–Betti reciprocal theorem, the achievement of the static nonreciprocity seems to be conditional by the use of a nonlinear material. Here, we further investigate this and demonstrate a novel “nonreciprocal elasticity” concept. We investigated the conditions of the attainment of effective static nonreciprocity. We revealed that the realization of static nonreciprocity requires breaking the material deformation symmetry under the same kinematical and kinetical conditions, which can be achieved only and only if the material exhibits a nonreciprocal elasticity. By means of experimental and topological mechanics, we demonstrate that the realization of static nonreciprocity requires nonreciprocal elasticity no matter what the material is linear or nonlinear. We experimentally demonstrated linear and nonlinear metamaterials with nonreciprocal elasticities. The developed metamaterials were used to demonstrate that nonreciprocal elasticity is essential to realize static nonreciprocal-topological systems. The nonreciprocal elasticity developed here will open new venues of the design of metamaterials that can effectively break the material deformation symmetry and achieve, both, static and dynamic nonreciprocity.

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Metamaterials with Giant and Tailorable Nonreciprocal Elastic Moduli

Cited by 12 publications

References 27 publications

Dynamical Evolution of Sasa–Satsuma Rogue Waves, Breather Solutions, and New Special Wave Phenomena in a Nonlinear Metamaterial

Dynamical Evolution of Sasa–Satsuma Rogue Waves, Breather Solutions, and New Special Wave Phenomena in a Nonlinear Metamaterial

Mechanical nonreciprocity in a uniform composite material

Nonreciprocal elasticity and the realization of static and dynamic nonreciprocity

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