title: Linear transformation method to control flexural waves in thin plates.
abstract: In this paper, the linear transformation method (LTM) to control flexural waves propagating in thin plates is presented. Unlike earlier studies, only a small number of homogeneous materials with no requirement of in-plane forces or pre-stress are needed, which tremendously simplifies the implementation of devices for flexural waves. An invisibility cloak with homogeneous materials is studied to confirm the validity of the present approach, and to show its imperfection due to impedance mismatch at interfaces. Required materials can be further simplified as layered isotropic materials using the effective medium theory. Finally, the LTM can be extended to the case of flexural waves propagating in anisotropic thin plates. The present method opens a promising avenue toward the realization of advanced structured shields and other devices.
authors: Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, People's Republic of China.
authors: Yongquan
authors: Y
authors: Liu
authors: Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, People's Republic of China.
authors: Zhaoyang
authors: Z
authors: Ma
authors: Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, People's Republic of China.
authors: Xianyue
authors: X
authors: Su