On the failure of classic elasticity in predicting elastic wave propagation in gyroid lattices for very long wavelengths
| Autor: | Nicolas Auffray, Christelle Combescure, Giuseppe Rosi |
|---|---|
| Přispěvatelé: | Laboratoire de Modélisation et Simulation Multi Echelle (MSME), Université Paris-Est Marne-la-Vallée (UPEM)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mécanique des solides (LMS), École polytechnique (X)-Mines Paris - PSL (École nationale supérieure des mines de Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Est Créteil Val-de-Marne - Paris 12 (UPEC UP12)-Université Paris-Est Marne-la-Vallée (UPEM), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris-Centre National de la Recherche Scientifique (CNRS), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics and Astronomy (miscellaneous)
General Mathematics High Energy Physics::Lattice Rotational symmetry chirality 02 engineering and technology [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Mechanics of the solides [physics.class-ph] 0203 mechanical engineering Lattice (order) Dispersion relation [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] Computer Science (miscellaneous) Elasticity (economics) crystallography Circular polarization Physics lcsh:Mathematics elastic waves Transverse wave gyroid lcsh:QA1-939 021001 nanoscience & nanotechnology noncentrosymmetry Condensed Matter::Soft Condensed Matter Wavelength 020303 mechanical engineering & transports Classical mechanics Chemistry (miscellaneous) 0210 nano-technology Gyroid |
| Zdroj: | Symmetry Symmetry, MDPI, 2020, 12 (8), pp.1243. ⟨10.3390/sym12081243⟩ Symmetry, MDPI, 2020 Volume 12 Issue 8 Symmetry, Vol 12, Iss 1243, p 1243 (2020) |
| ISSN: | 2073-8994 |
| DOI: | 10.3390/sym12081243⟩ |
| Popis: | In this work we investigate the properties of elastic waves propagating in gyroid lattices. First, we rigorously characterize the lattice from the point of view of crystallography. Second, we use Bloch&ndash Floquet analysis to compute the dispersion relations for elastic waves. The results for very long wavelengths are then compared to those given by classic elasticity for a cubic material. A discrepancy is found in terms of the polarization of waves and it is related to the noncentrosymmetry of the gyroid. The gyroid lattice results to be acoustically active, meaning that transverse waves exhibit a circular polarization when they propagate along an axis of rotational symmetry. This phenomenon is present even for very long wavelengths and is not captured by classic elasticity. |
| Databáze: | OpenAIRE |
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