The analysis of beams on layered poroelastic soils with anisotropic permeability and compressible pore fluid

• The stiffness matrixes of the beams are established based on the finite element method.
• The solution of layered poroelastic soils is obtained with the analytical layer-element method.
• The final stiffness matrixes of foundation beams are established by the displacement harmony conditions.
• The effects of the property of the beam-soil system on the interaction problems are analyzed.

The stiffness matrices of the Euler–Bernoulli/Timoshenko beams are established based on the finite element method (FEM), while the solution of layered poroelastic soils with anisotropic permeability and compressible pore fluid is obtained with the analytical layer-element method. Then by introducing the conditions of the displacement harmony between the beams and foundation, we can establish the final stiffness matrices of foundation beams. Three examples are conducted to compare the results of the proposed theory with those from the literatures or the ABAQUS modeling in order to prove the accuracy of the theory. Furthermore, several other numerical examples are carried out to analyze the effects of the property of the beam-soil system and the shear deformation and rotary inertia on the interaction problems.