Nonreciprocal transmission of nonlinear elastic wave metamaterials by incremental harmonic balance method

Wei, Lin-Shuai; Wang, Yi–Ze; Wang, Yue-Sheng

doi:10.1016/j.ijmecsci.2020.105433

Cited by 52 publications

(12 citation statements)

References 50 publications

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“…In addition, an important decrease of soliton peak power is also observed from 7000 for the NIR to 600 for the AR, as shown in Figure 1c,d. Similar results have been obtained in a previous study, [ 15 ] where elastic wave metamaterials are presented. Those types of waves exhibit a similar aspect compared to that shown in Figure 1c,d.…”

Section: Computational Experimentssupporting

confidence: 91%

“…In fact, the authors present elastic wave metamaterials influenced by a nonreciprocal phenomenon in a nonlinear phononic crystal. [ 15 ] Nonetheless, the losses of energy observed during the passage from the NIR to the AR are due to dissipative properties of metamaterials under the AR as predicted. [ 49 ] In addition, Figure 1f shows a 2D full numerical equation which shows a straight colored line symbolizing a stable soliton light pulse.…”

Section: Computational Experimentsmentioning

confidence: 95%

“…[ 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. Their results show that the structural asymmetry and material nonlinearity can break the inherent wave reciprocity.…”

Section: Introductionmentioning

confidence: 99%

“…Their results show that the structural asymmetry and material nonlinearity can break the inherent wave reciprocity. [ 13–15 ]…”

Section: Introductionmentioning

confidence: 99%

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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: Computational Experimentssupporting

confidence: 91%

Section: Computational Experimentsmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

“…Their results show that the structural asymmetry and material nonlinearity can break the inherent wave reciprocity. [ 13–15 ]…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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)

View full text Add to dashboard Cite

show abstract

“…Granular material systems exhibit many non-standard physical phenomena, such as that of negative group velocity [20,21], frequency band gaps [22][23][24][25], chirality [26] and load path dependency. The latter is the key physical phenomenon that underlies our results: collections of discrete athermal particles have the remarkable property that they can become rigid when assembled into certain arrangements.…”

Section: Introductionmentioning

confidence: 99%

Spatially correlated rotational dynamics reveals strain dependence in amorphous particle packings

Wang,

Nejadsadeghi,

et al. 2020

Preprint

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Lattice Dynamics Models to Predict Transmission Properties of Flexural Waves in One-Dimensional Atom Chains with Defects

Huang

Luo

et al. 2022

Acta Mech. Solida Sin.

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Nonreciprocal transmission of nonlinear elastic wave metamaterials by incremental harmonic balance method

Cited by 52 publications

References 50 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

Spatially correlated rotational dynamics reveals strain dependence in amorphous particle packings

Lattice Dynamics Models to Predict Transmission Properties of Flexural Waves in One-Dimensional Atom Chains with Defects

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