Solutions for cylindrical cavity in saturated thermoporoelastic medium
Based on the thermodynamics of irreversible processes, the mass conservation equation and heat energy balance equation are established. The governing equations of thermal consolidation for homogeneous isotropic materials are presented, accounting for the coupling effects of the temperature, stress and displacement fields. The case of a saturated medium with a long cylindrical cavity subjected to a variable thermal loading and a variable hydrostatic pressure (or a variable radial water flux) with time is considered. The analytical solutions are derived in the Laplace transform space. Then, the time domain solutions are obtained by a numerical inversion scheme. The results of a typical example indicate that thermodynamically coupled effects have considerable influences on thermal responses.
Key wordscylindrical cavity boundary conditions irreversible thermodynamics thermo-osmosis Laplace transform
Unable to display preview. Download preview PDF.
- Yang Xiao, Gurtin-type variational principles for dynamics of a non-local thermal equilibrium saturated porous medium. Acta Mechanica Solida Sinica, 2005, 18(1): 37–45.Google Scholar
- Bai, B., Heat source function method for coupling analyses of thermal consolidation in saturated soil. Acta Mechanica Sinica, 2004, 36(4): 427–434.Google Scholar
- Srivastava, R.C. and Avasthi, P.K., Non-equilibrium thermodynamics of thermo-osmosis of water through kaolinite. Journal of Hydraulics, 1975, 24(2): 110–120.Google Scholar