ABSTRACT
This chapter highlights a concept linked to the boundary condition, specified on the interior boundary of cloaking coating. This also requires the cloaking transformation to be considered in the framework of the singular perturbation asymptotic procedure. The chapter demonstrates suppression of the scattered flexural wave around a square void in a structured plate. It addresses problem of cloaking of flexural waves in plates, and presents a counter-cloaking example of boundary conditions on the interior boundary of the coating. The chapter is based on the results, which introduced the novel concept of a non-circular regularised cloak and addressed an important question of the lattice cloaking approximation. The chapter presents the analytical solution and the asymptotic analysis of scattering of flexural waves in a Kirchhoff-Love plate for the biharmonic cloaking problem. Even when a singular transformation is used to design an "exact" cloak, in the numerical implementation, or in a physical experiment, it is always regularised.
