Three-dimensional steady-state Green's functions for fluid-saturated, transversely isotropic, poroelastic bimaterials

•We present the Green's functions for transversely isotropic poroelastic bimaterials.•All components are expressed in terms of compact elementary functions.•Some components are presented in form of clear contours.

SummaryGreen's function for poroelastic bimaterials is the foundation to study the interaction of fluid and solid in poroelastic materials. For this object, we first summarize the compact general solutions of fluid-saturated, transversely isotropic, poroelastic materials in terms of harmonic functions. Based on these compact general solutions, the three-dimensional Green's function for fluid-saturated, transversely isotropic, poroelastic bimaterials under a steady-state point fluid source is solved by introducing six new harmonic functions. All poroelastic components are expressed in terms of elementary functions and are convenient to use. Numerical results are given graphically by contours and some conclusions for the pore fluid pressure and stress distributions are obtained.