Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 197, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2021.106308
Keywords
Structured surface; Capillary bridge; Volume-of-fluid; Breakup dynamics; Rayleigh-Plateau instability
Categories
Funding
- National Natural Science Foundation of China [12002094]
- Natural Science Foundation of Guangdong Province [2018A030310310]
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In this study, topological interface states for subwavelength in-plane waves in elastic metamaterials were numerically investigated. The relationships among bandgap, effective mass, and effective stiffness were analyzed, and the manipulation of stop-bands and negative effective parameters by tuning the parameters of translational resonances was discussed. The study observed a topological phase transition from single mass-negative region to single stiffness-negative region, with a corresponding shift in parameter changing of Zak phase. The existence of characteristic behavior of topological interface elastic waves in the sub-wavelength region was confirmed.
In this work, we numerically investigate topological interface states for subwavelength in-plane waves in elastic metamaterials composed mainly of translational resonators. The relationships among bandgap, effective mass and effective stiffness are analyzed for the mass-spring and continuum models. Besides, the locations of stop-bands and negative effective parameters are manipulated by tuning the parameters of translational resonances. It is observed that the topological phase transition occurs to the single mass-negative region from the single stiffness-negative region while the Zak phase varies following a shift in parameter changing. It also implies that the characteristic behavior of topological interface elastic waves can exist in the sub-wavelength region. Furthermore, the frequency response is analytically and computationally investigated in one heterostructure composed of two lattices with different negative effective properties, which show the existence of the sub-wavelength topological interface mode. Finally, we have further verified the dynamic behavior of the interface state by employing the transient response analysis computed by the finite element numerical approach.
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