Abstract
Analytical solutions have been derived for spherical space with a spherical cavity based on the irreversible coupled governing equations of saturated porous thermoelastic media when subjected to variable mechanical and thermal loading. Two special cases, a solid spherical body and a spherical cavity in an infinite medium, are analyzed. The method proposed in this study takes into account the coupled variable mechanical and thermal loading on inner and outer boundary surfaces, and a so-called “semi-permeability” boundary condition from completely pervious to completely impervious surface as well. Finally, typical examples are presented to illustrate the evolutions of temperature, pore pressure and displacement with time.
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