Scattering of flexural waves by a circular hole with surface effects in an infinite thin plate

Abstract This paper investigates the scattering of flexural waves and the associated dynamic moment concentration around a circular hole with surface effects in an infinite thin plate. The analysis is based on the Gurtin–Murdoch surface elasticity theory integrated with classical thin-plate bending theory. Non-classical boundary conditions at the circular hole surface are derived, and the wave function expansion method is employed to obtain an analytical solution for the dynamic field. Numerical results reveal that the surface effects profoundly influence the dynamic moment concentration factor (DMCF). Specifically, at the micro/nanoscale, the presence of surface effects not only alters the distribution pattern of the DMCF around the hole but also induces a strong size-dependent behavior. This size dependence diminishes as the radius of hole increases to the macroscopic scale. This study underscores the critical role of surface effects in the mechanical behavior of micro/nanostructured plates.