TY - JOUR
T1 - Multiple Rayleigh waves guided by the planar surface of a continuously twisted structurally chiral material
T2 - Multiple Rayleigh waves
AU - Mackay, Tom G.
AU - Lakhtakia, Akhlesh
N1 - Funding Information:
Data accessibility. This article has no additional data. Authors’ contributions. T.G.M. calculated the presented data, produced the figures and co-wrote the manuscript. A.L. devised the study and co-wrote the manuscript. Both authors gave final approval for publication. Competing interests. The authors have no competing interests. Funding. This work was supported in part by EPSRC (grant no. EP/S00033X/1). Acknowledgements. A.L. thanks the Charles Godfrey Binder Endowment at the Pennsylvania State University for ongoing support of his research.
PY - 2020/7
Y1 - 2020/7
N2 - The Stroh formalism was adapted for Rayleigh-wave propagation guided by the planar traction-free surface of a continuously twisted structurally chiral material (CTSCM), which is an anisotropic solid that is periodically non-homogeneous in the direction normal to the planar surface. Numerical studies reveal that this surface can support either one or two Rayleigh waves at a fixed frequency, depending on the structural period and orientation of the CTSCM. In the case of two Rayleigh waves, each wave possesses a different wavenumber. The Rayleigh wave with the larger wavenumber is more localized to the surface and has a phase speed that changes less as the angular frequency varies in comparison with the Rayleigh wave with the smaller wavenumber.
AB - The Stroh formalism was adapted for Rayleigh-wave propagation guided by the planar traction-free surface of a continuously twisted structurally chiral material (CTSCM), which is an anisotropic solid that is periodically non-homogeneous in the direction normal to the planar surface. Numerical studies reveal that this surface can support either one or two Rayleigh waves at a fixed frequency, depending on the structural period and orientation of the CTSCM. In the case of two Rayleigh waves, each wave possesses a different wavenumber. The Rayleigh wave with the larger wavenumber is more localized to the surface and has a phase speed that changes less as the angular frequency varies in comparison with the Rayleigh wave with the smaller wavenumber.
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U2 - 10.1098/rspa.2020.0314rspa20200314
DO - 10.1098/rspa.2020.0314rspa20200314
M3 - Article
AN - SCOPUS:85094667568
VL - 476
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
SN - 0080-4630
IS - 2239
M1 - 0314
ER -