Effective boundary conditions for a straight thin-walled elastic inclusion of low contrast in the thin plate

Effective boundary conditions for flexural waves scattering by a straight thin-walled inclusion of low contrast in a thin plate are considered. Explicit forms of the first-order approximate boundary conditions are derived using Kirchhoff plate theory. The methodology of investigation is based on the method of matched asymptotic expansions with the thickness-to-length ratio as the perturbation parameter.