Abstract
This study develops a discontinuous Galerkin finite element method (DG-FEM) for the analysis of contact acoustic nolinearity (CAN) problems. DG-FEM is employed for this purpose since it can easily handle the discontinuity in material constants as well as the wave field quantity and amenable to explicit time stepping. In this study we extend the elastodynamic DG-FEM for 1D CAN problems by incorporating crack-face contact detection algorithm without compromising the above mentioned advantages of DG-FEM. The accuracy of the numerical solution is then validated by comparing exact and FE solutions of 1D CAN problem. The developed DG-code for 1D wave problems is used also to simulate ultrasonic nondestructive testing to demonstrate the necessity and usefulness of numerical techniques in designing CAN based NDE techniques.
