A Refined Theory of Axisymmetric Poroelastic Circular Cylinder

A refined theory of axisymmetric deformation of an isotropic poroelastic circular cylinder in a steady-state is presented directly by utilizing the general solutions and Lur'e method without any advance hypothesis. The refined equations are derived under non-homogenous boundary conditions, and the approximate solutions are obtained by omitting higher-order terms. The all-inclusive refined equations and approximate solutions constitute the refined theory of circular cylinders. Correlative examples are brought up to analyze influences of liquid-solid coupling properties on the mechanical behavior of poroelastic materials. Moreover, the present results are converted into those of homologous pure elastic problem directly.