ArticlePhilosophical transactions. Series A, Mathematical, physical, and engineering sciences2024
Local-to-non-local transition laws for stiffness-tuneable monoatomic chains preserving springs mass.
Article in Philosophical transactions. Series A, Mathematical, physical, and engineering sciences, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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1 citing paper in PubMed.
- Current developments in elastic and acoustic metamaterials science.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2024Article
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Abstract
Recently, non-local configurations have been proposed by adding beyond nearest neighbour couplings among elements in lattices to obtain roton-like dispersion relations and phase and group velocities with opposite signs. Even though the introduction of non-local elastic links in metamaterials has unlocked unprecedented possibilities, literature models and prototypes seem neither to provide criteria to compare local and non-local lattices nor to discuss any related rules governing the transition between the two configurations. A physically reasonable principle that monoatomic one-dimensional chains must obey to pass from single- to multi-connected systems is here proposed through a mass conservation law for elastic springs thereby introducing a suitable real dimensionless parameter [Formula: see text] to tune stiffness distribution. Therefore, the dispersion relations as a function of [Formula: see text] and of the
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