A refined theory of axisymmetric thermoporoelastic circular cylinder

The deformations of axisymmetric transversely isotropic thermoporoelastic circular cylinders in a steady-state are analyzed and the approximate coupled fields are obtained directly without employing ad hoc stress or deformation assumptions. The expressions of the coupled fields for these materials were obtained in the light of four functions with one independent variable z at the outset. Subsequently, based on the non-homogenous boundary conditions, the refined equations and approximate solutions are obtained by omitting the higher-order terms. By analyzing some coupled and uncoupled cases, the structural effect coupling phenomenon of thermoporoelastic mediums is shown. Not taking into account fluid-solid or poro-thermo coupling effect, the result reduces to the corresponding solution of the thermoelastic or elastic counterpart in a straightforward way.