Semi-analytical IGA-based computation of wave dispersion in fluid-coupled anisotropic poroelastic plates

•Semi-analytical Galerkin and collocation isogeometric methods were developed for computing wave dispersion in anisotropic poroelastic waveguides.•SAIGA-G method using high-order NURBS-based discretization yields a significant faster convergence in comparison with SAIGA-C and SAFE methods.•Mode shapes derived from SAIGA-G have excellent continuities at fluid-solid interfaces. [Display omitted] Understanding dispersion relations and wave mode shapes is vital in nondestructive control of dynamic behaviors of poroelastic composites. In the framework of semi-analytical finite element (SAFE) method, this paper presents two numerical approaches so-called semi-analytical isogeometric Galerkin (SAIGA-G) and semi-analytical isogeometric collocation (SAIGA-C) for computing dispersion of guided-waves in anisotropic poroelastic plates immersed in acoustic fluids. Biot’s theory was used for describing the dynamic behavior of anisotropic poroelastic material. Assuming the structures is homogeneous along its axial direction, the Non-Uniform Rational B-splines (NURBS) was successfully employed in procedures using isogeometric Galerkin and collocation methods. The numeral studies showed that the SAIGA-G method using high continuity NURBS basis allowed to significantly improve the accuracy as well as the convergence rate of the wave dispersion solutions in compared with the conventional SAFE method, which used Lagrange basis functions. Otherwise, the SAIGA-C method was shown to have similar performance in terms of accuracy to the SAFE method.