Using the thermoporoelastic theory previously proposed, thermal stresses are analyzed that are induced in a fluid-saturated poroelastic hollow sphere, whose inner surface is exposed to burning gas and the wall of which is cooled by the fluid injection from its outer surface. Two loading histories are considered: (I) the sphere is subjected to a sudden rise in temperature of the gas and simultaneously pressurized at its outer surface to cool the wall; and (ii) steady-state cooling in abruptly disturbed by a sudden loss of pressurization and, after a while, I recovered.
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