Oblique rayleigh wave scattering by a cylindrical cavity
نویسندگان
چکیده
منابع مشابه
Oblique Rayleigh wave scattering by a cylindrical cavity
The problem of oblique wave scattering of a Rayleigh wave by a cylindrical cavity in an elastic half-space is solved using the multipole expansion method. Whereas in the analogous water-wave problem a single scalar field is expressed as an infinite multipole expansion, and in the Rayleigh wave case with normal incidence two scalar fields suffice, here we require three coupled scalar multipole e...
متن کاملOn the anomalously low attenuation of the leaky Rayleigh wave in a fluid-filled cylindrical cavity
It is shown that the dispersive Rayleigh wave propagating around a concave cylindrical surface is substantially less attenuated by fluid loading than the corresponding wave on a flat surface. First, the analytical solution for vertically polarized shear wave scattering from a fluid-filled cylindrical cavity is formulated in the time domain, then the signal of interest is gated out and spectrum ...
متن کاملScattering by a Cylindrical
T h e connec t ion b e t w e e n p l a n e w a v e a n d spher ica l w a v e s c a t t e r i n g f rom a n in f in i t e ly cyl indr ica l ob jec t is i nves t iga t ed . If t h e d i s t a n c e of t h e source a n d t h e obse rve r f r o m t h e axis of t h e cy l inder a re d e n o t e d b y eo a n d Q, respec t ive ly , t h e ra t io of t h e s ca t t e r ed field to t h a t for p l a n e ...
متن کاملAntiplane wave scattering from a cylindrical cavity in pre-stressed nonlinear elastic media
The effect of a longitudinal stretch and a pressure-induced inhomogeneous radial deformation on the scattering of antiplane elastic waves from a cylindrical cavity is determined. Three popular nonlinear strain energy functions are considered: the neo-Hookean, the Mooney-Rivlin and a two-term Arruda-Boyce model. A new method is developed to analyse and solve the governing wave equations. It expl...
متن کاملPlane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical-wave approach
A new method for the analysis of the diffraction of a plane wave impinging on a perfectly conducting circular cylinder in front of a generally reflecting surface is presented. The surface is characterized by its complex reflection coefficient, enabling us to treat a wide class of reflecting surfaces. The presence of the surface is taken into account by means of a suitable expansion of the refle...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Quarterly Journal of Mechanics and Applied Mathematics
سال: 2015
ISSN: 0033-5614,1464-3855
DOI: 10.1093/qjmam/hbv006