Transient ultrasonic guided waves in layered plates with rectangular cross section

• Published in: Journal of applied physics 2003-06, Vol.93 (11), p.9360-9370
• Main Authors: Mukdadi, Osama M., Datta, Subhendu K.
• Format: Article
• Language: English
• ISSN: 0021-8979; 1089-7550
• DOI: 10.1063/1.1573734

Transient ultrasonic guided waves in anisotropic layered plates with finite and infinite width are presented in this article. A semianalytical finite-element method is adopted to study the guided waves in both infinite- and finite-width elastic plates. Three-noded beam elements in the thickness direction are used in infinite plate model, whereas the cross section of the finite-width plate is represented by nine-noded quadrilateral elements. Propagation in the axial direction is modeled by analytical wave functions. Elastodynamic Green’s functions are derived using modal summation in the frequency–wave number and time–space domains. Results for dispersion and transient analysis of guided waves in infinite nickel plates are presented and compared with those of finite-width plates. Group velocities are calculated and wave arrival times are computed for different plate cross sections. Numerical results show a significant influence of the plate aspect ratio on the dispersion and transient wave response. The complex natures of mode dispersion and propagation due to several mode excitation in finite-width plates require such quantitative analysis to afford easy interpretation. These results play a role of guidance for nondestructive material evaluation.