The assessment of viscoelastic and poroelastic materials via non-destructive evaluation (NDE) is crucial in engineering. Guided Wave (GW) technologies are widely used due to their sensitivity to material and structural properties. However, the semi-analytical finite element (SAFE) method, while effective, becomes computationally expensive for complex fluid–solid waveguides, particularly at high frequencies. This study evaluates the efficiency of semi-analytical isogeometric analysis (SAIGA), which uses Non-Uniform Rational B-splines (NURBS) for geometry representation and field approximation, in computing wave dispersion in 3-D anisotropic waveguides coupled with fluids. Results show that SAIGA achieves faster convergence in guided wave dispersion calculations than SAFE, even with the same order of shape functions. For hollow prismatic structures in fluids, high-order NURBS require significantly fewer elements to match SAFE’s accuracy, reducing computational demand by up to five times. Additionally, NURBS’ inherent smoothness improves continuity at fluid–solid interfaces, enhancing mode shape evaluation in coupled systems. The study also presents simulations of wave propagation in cortical bone phantoms, demonstrating SAIGA’s potential for assessing bone properties using axial transmission ultrasonic techniques. Overall, SAIGA offers superior efficiency and accuracy over SAFE for complex waveguide analyses.
Chaboty et al. (Wed,) studied this question.
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