3D mathematical model for the simulation of piezo-induced guided waves in an elongated plate-like structure

Abstract

Design of a reliable guided wave-based structural health monitoring system requires full 3D mathematical model for simulation of the piezo-induced wave propagation in an elastic waveguide. In this paper, the semi-analytical boundary integral equation method is applied for modelling of the Lamb waves propagation in an elongated plate-like structure, induced by a surface load function. Employment of the axisymmetric functions for traction vector interpolation allows reducing the computational costs. It is demonstrated that calculation of the wave field is faster and more accurate, compared to conventional FEM software.