Asymptotic Model of Acoustic Scattering by Thin Elastic Shells in Fluids

An asymptotic model of acoustic scattering by a thin elastic shell is developed. The shell is replaced with effective boundary conditions involving surface differential operators. The shell thickness is considered a small parameter. Analytical solutions within asymptotic approximations in the spherical case are compared with the exact solution for an elastic spherical layer. Resonance effects of the first and third order in the shell thickness are distinguished.