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On the failure of classic elasticity in predicting elastic wave propagation in gyroid lattices for very long wavelengths
- Source :
- 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)
- Publication Year :
- 2020
- Publisher :
- HAL CCSD, 2020.
-
Abstract
- 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<br />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.
- Subjects :
- 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
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Database :
- OpenAIRE
- Journal :
- 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)
- Accession number :
- edsair.doi.dedup.....4f4a96c1f985d68c5100888e49822f3c