Implementation of a second-order paraxial boundary condition for a water-saturated layered half-space in plane strain.

The article presents a study on the development of half-space finite element and a transmitting boundary for water-saturated layered strata with the use of paraxial boundary condition. It states that the development of half-space finite element and a transmitting boundary was verified by comparing the dynamic stiffness of impermeable and permeable rigid strip foundations. It mentions that the study derived the exact dynamic stiffness of a half-space in plane strain and formulated the second-order paraxial approximation of stiffness. It adds that the numerical method that was described in the study maintains the strengths and weaknesses of the finite element method and can be applied to the problems of soil-structure interaction in a water-saturated layered half-space.