This paper presents a numerical approach based on spectral methods for the computation of guided ultrasonic wave modes in stressed elastic plates and rods. The approach is applicable to Lamb modes in anisotropic plates and longitudinal modes in isotropic rods under uniform stress. The proposed approach computes the modeshapes and the full complex dispersion spectrum (real frequency, complex wavenumber), accommodating both propagating (real wavenumber) and non-propagating (complex wavenumber) modes. Numerical results are presented for plates composed of fiber-reinforced graphite/epoxy (GREP) and plates and rods composed of Hecla 17 steel. The results are used to investigate and compare the effect of stress on the dispersion curves for plates and rods, while demonstrating the computational efficiency of spectral methods. The convergence rate is demonstrated, showing spectral convergence.
Brennan Dubuc, Arvin Ebrahimkhanlou, and Salvatore Salamone, "A spectral method for computing the effect of stress on guided modes in plates and rods," Proc. SPIE 10600, Health Monitoring of Structural and Biological Systems XII, 106001Z (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 08, 2018; Published: 3 April 2018); https://doi.org/10.1117/12.2296652.
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