Thermal Stresses of a Fluid-Saturated Poro-Elastic Hollow Cylinder

Abstract

By using the thermo-poro-elastic theory proposed by the author previously, thermal stresses are analyzed which are induced in a fluid-saturated porous hollow cylinder subjected to a sudden rise in temperature and pressure on its inner wall. Since the problem formulated is axisymmetric, the displacement field is decoupled from the temperature and pore-pressure fields, which are still coupled with each other. Coupled diffusion equations for heat and fluid flows are solved by the Crank-Nicolson implicit method, because they involve nonlinear and integral terms. The attention is focused on the effect of heat transportation by fluid flow through pores on the temperature and thermal stress distributions. This effect is very marked for the case where fluid diffusivity is much lager than the thermal one, as suggests the possible control of thermal stresses by active fluid injection.