Thermal Stresses of a Fluid-Saturated Poroelastic Hollow Cylinder

Abstract

By use of the thermoporoelastic theory previously proposed by the author, analysis is made of the thermal stresses which are induced in d fluid-saturated porous hollow cylinder subjected to a sudden increase in temperature and pressure on its inner surface. Since the problem formulated is axisymmetric, the displacement field is decoupled from the temperature and pore fluid 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 primary focus of this study is on the influence of heat transportation by fluid flow through pores on the temperature and thermal stress distributions. This influence is quite marked in the case where the fluid diffusivity is much larger than the thermal diffusivity, suggesting the possible control of thermal stresses by active fluid injection.