Fundamental solutions of a multi-layered transversely isotropic saturated half-space subjected to moving point forces and pore pressure

Moving load response of an axially loaded Timoshenko beam on a multilayered transversely isotropic half‐space comprising different media

“…The equations of motion of a TI poroelastic medium can be found in Ba et al 38 : where σ ij ( i , j = x , y , z ) and p represent stress and excess pore water pressure, respectively; u i is solid displacement; w i = n ( U i ‐ u i ) denotes relative displacement, where U i is fluid displacement and n represents porosity; ρ = (1‐ n ) ρ s + nρ f where ρ s and ρ f are the densities of the solid and fluid, respectively; r l = η f / k l and m l = a ∞ l ρ f / n in which k l is the absolute permeability coefficient, η f represents the fluid dynamic viscosity, and a ∞ l is the dynamic tortuosity. For the problem with a horizontal plane of transverse isotropy in this study, l = 1 when i = x , y and l = 3 when i = z .…”

“…Nevertheless, the problem of a dynamic load applied directly to a TI or anisotropic foundation has been extensively investigated in recent years. [36][37][38][39][40][41][42][43][44] The subsoils were modeled as solely one type of TI medium in these works, namely, as a TI elastic or poroelastic half-space. However, the distribution of the groundwater in the foundation is very complicated, which results in the complexities of the water content and saturation of different soils.…”

“…Researches on the dynamic response of a beam coupled with a TI half‐space are quite limited according to the above literature review. Nevertheless, the problem of a dynamic load applied directly to a TI or anisotropic foundation has been extensively investigated in recent years 36–44 . The subsoils were modeled as solely one type of TI medium in these works, namely, as a TI elastic or poroelastic half‐space.…”

Dynamic Green's functions for an anisotropic poroelastic half‐space

“…The three‐dimensional time‐harmonic response of a poroelastic half space subjected to an arbitrary buried loading is investigated by Chen et al The dynamic responses of a poroelastic half‐space to an internal point load and fluid source are investigated in the frequency domain by Zheng et al By introducing the surface terms to fulfil the free‐surface boundary conditions, the complete 2.5‐D Green's function for a poroelastic half‐space is derived by Zhou et al The fully coupled model with the source functions (including the fluid dilation contribution) was presented by Pan for the layered poroelastic half‐space. The exact antiaxisymmetric (cylindrical SH‐waves) and axisymmetric (cylindrical P1‐P2‐SV waves) stiffness matrices for a layered poroelastic half‐space are derived by Ba et al The complete dynamic 2.5‐D Green's function for an internal point load or fluid source buried in a layered poroelastic half‐space is derived by Chao et al The steady‐state dynamic response of a multilayered transversely isotropic (TI) saturated half‐space due to point forces and pore pressure moving with a constant speed is investigated by Ba and Liang . The displacement ring load Green's functions for saturated porous TI tri‐material full‐space is analytically presented by Sahebkar and Eskandari‐Ghadi .…”

3D dynamic response of a transversely isotropic multilayered medium subjected to a moving load

“…Zhan et al investigated the slab track on transversely isotropic saturated soils subjected moving train loads by a semianalytical approach. Ba and Liang obtained the fundamental solutions of a multilayered transversely isotropic saturated half‐space due to moving point forces and pore pressures with a constant speed.…”