Asymptotic expansion of boundary-layer type for flexural waves along the curved edge of a Kirchhoff–Love plate

A high-frequency asymptotic expansion of boundary-layer type is constructed for flexural waves localised in the vicinity of the free edge of a Kirchhoff–Love elastic plate. Unlike in the previous works on the subject, the boundary of the plate does not have to be rectilinear. Expressions for the leading-order terms of the expansion are obtained, which are then implemented in the problem of the description of eigenmodes of an arbitrary bounded plate with smooth boundary.