The propagation of Rayleigh type surface waves in a rotating elastic half-space of orthotropic type is studied under impedance boundary conditions. The secular equation is obtained explicitly using traditional methodology. A program in MATLAB software is developed to obtain the numerical values of the nondimensional speed of Rayleigh wave. The speed of Rayleigh wave is illustrated graphically against rotation rate, nondimensional material constants, and impedance boundary parameters.
Abd-AllaAMAbo-DahabSMAl-ThamaliTA (2012) Propagation of Rayleigh waves in a rotating orthotropic material elastic half-space under initial stress and gravity. Journal of Mechanical Science and Technology26(9): 2815–2823.
2.
BuchwaldVT (1961) Rayleigh waves in transversely isotropic media. The Quarterly Journal of Mechanics and Applied Mathematics14(3): 293–318.
3.
ChadwickP (1976) The existence of pure surface modes in elastic materials with orthorhombic symmetry. Journal of Sound and Vibration47(1): 39–52.
4.
ChadwickPSmithGD (1977) Foundations of the theory of surface waves in anisotropic elastic materials. Advances in Applied Mechanics17: 303–376.
5.
ColletB (2003) Gyroscopic effect on surface acoustic waves in anisotropic solid media. In: Proceedings of the world congress on ultrasonics, pp. 991–994. Paris, France: French Acoustic Society.
6.
CrampinS (1984) An introduction to wave propagation in anisotropic media. Geophysical Journal International76(1): 17–28.
7.
CrampinSTaylorDB (1971) The propagation of surface waves in anisotropic media. Geophysical Journal International25(1–3): 71–87.
8.
DestradeM (2001a) Surface waves in orthotropic incompressible materials. The Journal of the Acoustical Society of America110(2): 837–840.
9.
DestradeM (2001b) The explicit secular equation for surface acoustic waves in monoclinic elastic crystals. The Journal of the Acoustical Society of America109(4): 1398–1402.
10.
DestradeM (2004a) Rayleigh waves in anisotropic crystals rotating about the normal to a symmetry plane. Journal of Applied Mechanics71: 516–520.
11.
DestradeM (2004b) Surface acoustic waves in rotating orthorhombic crystals. Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences460: 653–665.
12.
GodoyEDuránMNédélecJ-C (2012) On the existence of surface waves in an elastic half-space with impedance boundary conditions. Wave Motion49(6): 585–594.
JohnsonWW (1970) The propagation of Stoneley and Rayleigh waves in anisotropic elastic media. Bulletin of the Seismological Society of America60(4): 1105–1122.
15.
KunduSMaityMGuptaS, et al. (2019) Effect of initial stress on the propagation and attenuation characteristics of Rayleigh waves. Acta Mechanica230(1): 67–85.
16.
MahmoudSR (2014) Effect of non-homogenity, magnetic field and gravity field on Rayleigh waves in an initially stressed elastic half-space of orthotropic material subject to rotation. Journal of Computational and Theoretical Nanoscience11(7): 1627–1634.
17.
MalischewskyPG (1987) Surface Waves and Discontinuities. Amsterdam: Elsevier.
18.
MusgraveMJP (1959) The propagation of elastic waves in crystals and other anisotropic media. Reports on Progress in Physics22(1): 74–96.
19.
NobiliAPrikazchikovDA (2018) Explicit formulation for the Rayleigh wave field induced by surface stresses in an orthorhombic half-plane. European Journal of Mechanics – A/Solids70: 86–94.
20.
RayleighL (1885) On waves propagated along the plane surface of an elastic solid. Proceedings of the London Mathematical Societys1–s17: 4–11.
21.
RehmanAKhanAAliA (2007) Rotational effects on Rayleigh wave speed in orthotropic medium. Punjab University Journal of Mathematics39: 29–33.
22.
SchoenbergMCensorD (1973) Elastic waves in rotating media. Quarterly of Applied Mathematics31: 115–125.
23.
SharmaMD (2018) Rayleigh wave at the surface of a general anisotropic poroelastic medium: derivation of real secular equation. Proceedings of the London Mathematical Society A474(2211): 1–12.
24.
SinghB (2015) Rayleigh waves in an incompressible fibre-reinforced elastic solid with impedance boundary conditions. Journal of the Mechanical Behavior of Materials24(5–6): 183–186.
25.
SinghBKaurB (2017) Propagation of Rayleigh waves in an incompressible rotating orthotropic elastic solid half-space with impedance boundary conditions. Journal of the Mechanical Behavior of Materials26(3–4): 73–78.
26.
StoneleyR (1963) The propagation of surface waves in an elastic medium with orthorhombic symmetry. Geophysical Journal International8(2): 176–186.
27.
TaylorDB (1981) Surface waves in anisotropic media: the secular equation and its numerical solution. Proceedings of the London Mathematical Society A376(1765): 265–300.
28.
TierstenHF (1969) Elastic surface waves guided by thin films. Journal of Applied Physics40(2): 770–789.
29.
TingTCT (1996) Anisotropic Elasticity: Theory and Applications. New York: Oxford University Press.
30.
TingTCT (2004) Surface waves in a rotating anisotropic elastic half-space. Wave Motion40: 329–346.
31.
VinhPCOgdenRW (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids. Archives of Mechanics56(3): 247–265.
32.
VinhPCOgdenRW (2005) On the Rayleigh wave speed in orthotropic elastic solids. Meccanica40: 147–161.
33.
VinhPCThanh HueTT (2014) Rayleigh waves with impedance boundary conditions in anisotropic solids. Wave Motion51(7): 1082–1092.
