| Title |
Determination of Wave Scattering Coefficients in an Infinite Elastic Waveguide with a Crack Considering Axial-Bending Coupling |
| Authors |
(Mukharromah, Nur Indah);(Lim, Taejeong);(Park, Hyun Woo) |
| DOI |
https://doi.org/10.12652/Ksce.2025.45.1.0013 |
| Keywords |
Infinite elastic waveguide; Crack; Wave scattering coefficient; Closed-form solution; Axial-bending coupling (ABC) |
| Abstract |
The elastic guided wave technique is a well-known non-destructive testing method for detecting cracks, where wave scattering coefficients play a crucial role in analyzing the transmission and reflection caused by a crack. Previous studies predicting wave scattering coefficients have been widely conducted using the finite element method. However, the finite element method requires a huge computation time, particularly in the high-frequency range. Therefore, closed-form solutions for the wave scattering coefficients are needed for rapid crack assessment through inverse analysis. This study aims to derive closed-form solutions for the wave scattering coefficients associated with transmission and reflection at the crack in the elastic waveguide considering axial-bending coupling. The axial-bending coupling on the dynamic behavior of the waveguide at the crack is modeled through elementary rod and Timoshenko beam theories. Analytical solutions
are derived separately for propagating bending and axial incident waves. The proposed solutions are validated through the comparison with the numerical results from the finite element method reported in previous literature. |