Reflection and transmission of elastic waves in non-local band-gap metamaterials: a comprehensive study via the relaxed micromorphic model
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Publication:2119161
DOI10.1016/j.jmps.2016.05.003zbMath1482.74103arXiv1602.05218OpenAlexW2287998717WikidataQ58226088 ScholiaQ58226088MaRDI QIDQ2119161
Giuseppe Rosi, Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff
Publication date: 23 March 2022
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.05218
reflectiontransmissionwave propagationinterfacedynamic problemmicromorphic elasticityband-gap phenomena
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Cites Work
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- Homogenization of locally resonant acoustic metamaterials towards an emergent enriched continuum
- On the second-order homogenization of wave motion in periodic media and the sound of a chessboard
- Characterization of heterogeneous solids via wave methods in computational microelasticity
- A high order homogenization model for transient dynamics of heterogeneous media including micro-inertia effects
- Transient computational homogenization for heterogeneous materials under dynamic excitation
- Atomistic viewpoint of the applicability of microcontinuum theories
- Phononic properties of hexagonal chiral lattices
- Boundary conditions at fluid-permeable interfaces in porous media: a variational approach
- Edge contact forces and quasi-balanced power
- Propagation of acoustic waves in porous media and their reflection and transmission at a pure-fluid/porous-medium permeable interface
- Micro-structure in linear elasticity
- Wave propagation in relaxed micromorphic continua: modeling metamaterials with frequency band-gaps
- A unifying perspective: the relaxed linear micromorphic continuum
- Interfaces in micromorphic materials: Wave transmission and reflection with numerical simulations
- The relaxed linear micromorphic continuum: Existence, uniqueness and continuous dependence in dynamics
- Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials
- Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua
- Plane deformations of elastic solids with intrinsic boundary elasticity
- First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model