Surface acoustic waves in rotating orthorhombic crystals

Abstract

The propagation of surface (Rayleigh) waves over a rotating orthorhombic crystal is studied. The crystal possesses three crystallographic axes, normal to the symmetry planes: the half-space is cut along a plane normal to one of these axes, the wave travels in the direction of another, and the rotation occurs at a uniform rate about any of the three axes. The secular equation for the surface wave speed is found explicitly; in contrast to the non-rotating case, it is dispersive (frequency-dependent). Both Coriolis and centrifugal accelerations appear in the equations of motion: none can be neglected in favor of the other, even at small rotation rates.

Asymptotic Theory for Rayleigh and Rayleigh-Type Waves

“…We also mention contributions studying surface waves in media with more sophisticated properties, see e.g. Hayes & Rivlin (1961); Alenitsyn (1963); Agarwal (1978) ;Ivanov (1988); Dowaikh & Ogden (1990); Rogerson (1998); Destrade (2004Destrade ( , 2007; Steigmann & Ogden (2007); Kiselev & Rogerson (2009);Dockrey et al (2013); Vinh et al (2014), and many others.…”

Rayleigh waves of arbitrary profile in anisotropic media

“…It should also be possible to generalize the presented approach for pre-stressed elastic media (Dowaikh and Ogden , 1991), 3D case, see also Destrade (2004), and interfacial waves (Parker , 2012).…”

Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid

“…(11) and (12) on the dimensionless boundary conditions, and using Eqs. (18)- (20) in the resulting transformed boundary conditions, we get the transformed expressions for the displacement, force stress, and temperature distribution in a rotating generalized thermoelastic medium under the influence of gravity asũ…”

“…Chand et al [17] presented an investigation on the distribution of deformation, stresses, and the magnetic field in a uniformly rotating homogeneous isotropic, thermally, and electrically conducting elastic half space. Schoenberg and Censor [18] , Clarke and Burdness [19] , and Destrade [20] studied the effect of rotation on elastic waves. Roychoudhuri and Mukhopadhyay [21] studied the effect of rotation and relaxation times on plane waves in the generalized thermo-visco-elasticity.…”