Transformation Cloaking in Elastic Plates

In this paper, we formulate the problem of elastodynamic transformation cloaking for Kirchoff–Love plates and elastic with both in-plane out-of-plane displacements. A maps boundary-value an isotropic homogeneous plate (virtual problem) to that anisotropic inhomogeneous a hole surrounded by cloak is be designed (physical problem). For plates, governing equation virtual transformed physical up unknown scalar field. doing so, one finds initial stress tangential body force plate, along set constraints call compatibility equations. It noted map needs satisfy certain boundary continuity conditions on outer surface hole. particular, fix third order. Assuming generic radial map, show circular in not possible; equations are obstruction cloaking. Next, relaxing pure bending assumption, presence displacements formulated. case, there two sets need simultaneously under map. We possible general map; similar obstruct Our analysis suggests path forward flexural waves approximate formulated as optimal design problem.