Using the poroelastic model to explore dynamic Mandel's problem via the finite element method
Dean Chou
Abstract
In 1953, J. Mandel has proposed an analytical solution in a physical phenomenon which is a saturated poroelastic material loaded under plane-strain conditions by a constant compressive force applied on rigid impervious platens. During the pore pressure is subjected to boundary conditions, a constant vertical load (compression) and drained condition, it is increased and induced near the centre of the poroelastic media. This effect is also known as the Mandel-Cryer effect and was demonstrated experimentally by Verruijt (1965).
However, the Mandel’s problem is only considered by the steady-state elastic matrix with the gradient pore pressure and the dynamic diffusive pore pressure behaviour, conventionally. In this presentation, we will show our in-house code with the validation results via the analytical solution in the Mandel’s problem and will demonstrate the fully dynamic poroelastic media results in this further presentation via the finite element method