Dynamic Response of an Exponentially Graded Unsaturated Porous Transversely Isotropic Half-Space

Abstract

This paper investigates the dynamic response of an exponentially graded unsaturated porous transversely isotropic half-space under time-harmonic loading. Transversely isotropic elasticity coefficients and material density are assumed as functions of depth in exponential forms with considerations of compressibility, viscous and inertial coupling of soil particle, pore water and pore air. By means of Hankel integral transform and Vieta theorem, the elastodynamic governing equations are derived in a cylindrical coordinate system, and the general solutions of displacement and stress components are presented in a transformed domain. The accuracy of the proposed model is validated by conducting a comparison with two established benchmark studies in the literature. Utilizing the Gauss–Kronrod algorithm, numerical evaluations are conducted to investigate the influence of frequency, heterogeneity parameter, transversely isotropic parameters, and the degree of saturation on the dynamic response of exponentially graded unsaturated transversely isotropic half-space.