Revisiting Nesterenko’s solitary wave in the precompressed granular alignment held between fixed ends

Jiao, Tengfei; Chen, Weizhong; Takato, Yoichi; Sen, Surajit; Huang, Decai

doi:10.1007/s10035-023-01309-y

Cited by 5 publications

(2 citation statements)

References 45 publications

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“…Our previous studies showed that the former is highly correlated with the intrinsic dynamics of SW, whereas the latter controls the velocity magnitude of SW [28,39]. Therefore, exploring the influence of the characteristic wave velocities on the scattering effect at the mismatched interface is noteworthy.…”

Section: Theoretical Argumentsmentioning

confidence: 99%

“…When an external precompression is loaded, the Springer Nature 2021 L A T E X template Asymmetric scattering effect of solitary wave in a two-section composite granular chain amplitude of SW can be tuned because of the introduction of a nonlinear scattering effect. [25][26][27][28] Hence, how the nonlinear scattering effect affects the SW propagation characteristic has become a hot topic in the past decades. SW is a highly localized wave that leads to a unique nonlinear scattering effect in continuous liquid, [29] optical system, [30] and Toda lattice [31] et al…”

Section: Introductionmentioning

confidence: 99%

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Asymmetric scattering effect of solitary wave in a two-section composite granular chain

Liu,

Jiao,

Zhang

et al. 2024

Nonlinear Dyn

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This study presents numerical simulations on the asymmetric scattering effect of solitary waves in a two−section composite granular chain. On the basis of Nesterenko's work on solitary waves in monodisperse granular chains and continuous acoustic wave theory in linear medium, we argue that the mismatches of acoustic velocity and acoustic impedance, because of the differences of mass density and elastic coefficient, dominate the asymmetric scattering effect at the mismatched interface. The simulation results confirm the occurrence of a multipusle structure for the transmitted solitary waves when the solitary wave passes through the mismatched interface with a small−large wave velocity. The overshooting effect occurs for the reflected solitary waves because of the mismatched interface with high−low acoustic impedance. The phase diagram in the space of the mass density and the elastic coefficient ratio of the right−section granular chain to the left−section granular chain further validates the predictions. The results are crucial for the fundamental understanding of the dynamic behavior of solitary waves in granular chains.

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Section: Theoretical Argumentsmentioning

confidence: 99%