Metamaterial shields for inner protection and outer tuning through a relaxed micromorphic approach
arXiv:2111.12001 · doi:10.1098/rsta.2021.0400
Abstract
In this paper, a coherent boundary value problem to model metamaterials' behavior based on the relaxed micromorphic model is established. This boundary value problem includes well-posed boundary conditions, thus disclosing the possibility of exploring the scattering patterns of finite-size metamaterials' specimens. Thanks to the simplified model's structure (few frequency- and angle-independent parameters), we are able to unveil the scattering metamaterial's response for a wide range of frequencies and angles of propagation of the incident wave. These results are an important stepping stone towards the conception of more complex large-scale meta-structures that can control elastic waves and recover energy.
arXiv comment12 pages, 9 figures
References in corpus (12)
- A unifying perspective: the relaxed linear micromorphic continuum
- Bandgap widening by disorder in rainbow metamaterials
- An asymmetric elastic metamaterial model for elastic wave cloaking
- Spider-Web Inspired Mechanical Metamaterials
- Cymatics for the cloaking of flexural vibrations in a structured plate
- Architected lattices for simultaneous broadband attenuation of airborne sound and mechanical vibrations in all directions
- Effective wavenumbers and reflection coefficients for an elastic medium containing random configurations of cylindrical scatterers
- Total-internal-reflection elastic metasurfaces: design and application to structural vibration isolation
- Design of tunable acoustic metamaterials with periodic piezoelectric microstructure
- Vortex-type elastic structured media and dynamic shielding
- Prestress tuning of negative refraction and wave channeling from flexural sources
- Edge waves and localisation in lattices containing tilted resonators
Cited by in corpus (3)
- Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model
- Primal and mixed finite element formulations for the relaxed micromorphic model
- Green's functions for the isotropic planar relaxed micromorphic model -- concentrated force and concentrated couple