Work

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

Year: 2026

Type: article

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.

Source: Acta Mechanica

DOI: 10.1007/s00707-026-04736-z

Authors: Hao Hu, Haifeng Tang, András Szekrényes, Cun-Fa Gao

Institutions: Budapest University of Technology and Economics, State Key Laboratory of Mechanical Structure Mechanics and Control, Nanjing University of Aeronautics and Astronautics, Commercial Aircraft Corporation of China (China)

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funders: Budapesti Műszaki és Gazdaságtudományi Egyetem, National Natural Science Foundation of China, China Scholarship Council