Standard Article

Modeling of Lamb Waves in Composite Structures

Simulation

Damage Detection Algorithms and Techniques

  1. Abir Chakraborty

Published Online: 15 SEP 2009

DOI: 10.1002/9780470061626.shm071

Encyclopedia of Structural Health Monitoring

Encyclopedia of Structural Health Monitoring

How to Cite

Chakraborty, A. 2009. Modeling of Lamb Waves in Composite Structures. Encyclopedia of Structural Health Monitoring. .

Author Information

  1. General Motors R & D, India Science Laboratory, Bangalore, India

Publication History

  1. Published Online: 15 SEP 2009

Abstract

An overview of the modeling aspects of Lamb waves in composite structure is presented. Lamb wave modes are computed using two methods: one by directly solving the two-dimensional elasticity equation and the second by using various higher order beam theories. The performance of different beam theories is discussed in comparison to the solution of the original equation. Relative merits and demerits of each method are discussed. Along with the mode computation, a procedure is also outlined to obtain the simulation of propagating Lamb wave modes. The method also includes the solution of the governing elastodynamic equation for layered media subjected to arbitrary loading and boundary conditions. Lamb wave modes are provided for unidirectional laminated plies, and the procedure for general ply stacking is outlined.

Keywords:

  • Fourier transform;
  • frequency–wavenumber domain;
  • partial wave;
  • spectral finite element;
  • nonlinear optimization