Edge waves and localisation in lattices containing tilted resonators

Abstract

The paper presents the study of waves in a structured geometrically chiral solid. A special attention is given to the analysis of the Bloch-Floquet waves in a doubly periodic high-contrast lattice containing tilted resonators. Dirac-like dispersion of Bloch waves in the structure is identified, studied and applied to wave-guiding and wave-defect interaction problems. The work is extended to the transmission problems and models of fracture, where localisation and edge waves occur. The theoretical derivations are accompanied with numerical simulations and illustrations.

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Cited by in corpus (5)

• Vibrations and elastic waves in chiral multi-structures
• Metamaterial shields for inner protection and outer tuning through a relaxed micromorphic approach
• Nested Bloch waves in elastic structures with configurational forces
• Long-range order Bragg scattering and its effect on the dynamic response of a Penrose-like phononic crystal plate
• Scattering from a non-linear structured interface