THERMAL-STRESSES IN A FLUID-SATURATED POROELASTIC HOLLOW SPHERE

By using the thermoporoelastic theory proposed previously, thermal str esses are analyzed that are induced in a fluid-saturated porous hollow sphere subjected to a sudden rise in temperature and pressure on its inner wall. Since the problem formulated is spherically symmetric, the displacement field is decoupled from the temperature and pore fluid p ressure fields, which are still coupled with each other. Coupled diffu sion equations for heat and fluid flows are solved by the Crank-Nicols on implicit method because they involve nonlinear and integral terms. The attention is focused on the effect of heat transfer by fluid flow through pores on the temperature and thermal stress distributions. Thi s effect is very marked for the case where the fluid diffusivity is mu ch larger than the thermal one. This suggests a possible control of th ermal stresses by active fluid injection.