Propagation of waves in nonlocal-periodic systems

Rezaei, A.S.; Carcaterra, Antonio; Sorokin, Sergey; Hvatov, Alexander; Mezzani, F.

doi:10.1016/j.jsv.2021.116156

Cited by 4 publications

(1 citation statement)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Rezaei et al [25] attacked the problem of the nonconventional propagation phenomena in a classical waveguide within which a long-range connectivity pattern is embedded. Then, Rezaei et al [26] investigated wave propagation in a conventional rod integrated with nonlocalities that provide long-range interactions. Chen et al [27] introduced beyond-nearestneighbour interactions as a mechanism in elastic and airborne acoustical metamaterials.…”

Section: Introductionmentioning

confidence: 99%

Gradient continuum model of nonlocal metamaterials with long-range interactions

Yang¹,

Wang²

2022

Phys. Scr.

View full text Add to dashboard Cite

Compared with classical metamaterials, nonlocal metamaterials have distributed long-range interactions. In this paper, a gradient continuum model is developed to properly predict the dispersive behaviour of a one-dimensional nonlocal metamaterial with long-range interactions. First, a discrete monoatomic model is reconstructed into a supercell model. Then, a Taylor expansion based on supercell model is applied to the continuous displacement field, resulting in a gradient continuum model. The dispersive relation of the gradient continuum model is obtained and compared with discrete supercell model to evaluate its suitability. The proposed gradient continuum model with the eighth-order truncation is found to be enough to capture the dispersion behaviours all over the first Brillouin zone. The results indicate that the proposed gradient continuum model can predict the dispersion behaviour of the one-dimensional nonlocal system very well. Furthermore, the gradient continuous model of two mass-in-mass system with long-range interactions are verified.

show abstract

Section: Introductionmentioning

confidence: 99%