基于半解析有限元法的多层复合环面周向导波计算

Circumferential ultrasonic guided waves feature the excellent potential of rapid screening and characterizing multilayered composite cylindrical structures，whilst the key to achieving these is to extract their dispersion relations. The traditional approaches for solving dispersion equations are only applicable for isotropic single-layer annulus，which however，are difficult or even impossible to solve guided waves in anisotropic multilayered annuli. This paper develops a semi-analytical finite element（SAFE）approach to compute circumferential guided waves based on elastodynamics，via COMSOL Multiphysics coefficient PDE（partial differential equation）platform. The method and associated results are cross validated by the dispersion curves reported in the literature，and are then applied to two typical engineering cylindrical structures. The proposed approach has manifested itself by extendable applications in industry，as it potentially allows for the computation of circumferential guided waves in multilayered composite annuli with arbitrary material properties， arbitrary number of layers， and arbitrary circumferential cross-sectional shapes.