Matching of asymptotic models in scattering of acoustic waves by elastic shells

2002 ◽  
Author(s):  
V.A. Kovalev
Keyword(s):  
Acoustic Waves ◽  
Elastic Shells ◽  
Asymptotic Models ◽  
Scattering Of Acoustic Waves

scholarly journals Equivalent Robin boundary conditions for acoustic and elastic media

2016 ◽  
Vol 26 (08) ◽  
pp. 1531-1566 ◽  
Author(s):  
Julien Diaz ◽  
Victor Péron
Keyword(s):  
Acoustic Waves ◽  
Mathematical Problem ◽  
Diffraction Problem ◽  
Robin Boundary Condition ◽  
Elastic Displacement ◽  
Fluid Medium ◽  
Asymptotic Models ◽  
Multiscale Expansion ◽  
Robin Boundary ◽  
Equivalent Conditions

We present equivalent conditions and asymptotic models for a diffraction problem of acoustic and elastic waves. The mathematical problem is set with a Robin boundary condition. Elastic and acoustic waves propagate in a solid medium surrounded by a thin layer of fluid medium. Due to the thinness of the layer with respect to the wavelength, this problem is well suited for the notion of equivalent conditions and the effect of the fluid medium on the solid is as a first approximation local. This approach leads to solve only elastic equations. We derive and validate equivalent conditions up to the third order for the elastic displacement. The construction of equivalent conditions is based on a multiscale expansion in power series of the thickness of the layer for the solution of the transmission problem.

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