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SOLUTIONS FOR CYLINDRICAL CAVITY IN SATURATED THERMOPOROELASTIC MEDIUM
Authors:Bing Bai Tao Li
Affiliation:School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
Abstract:Based on the thermodynamics of irreversible processes, the mass conservation equa-tion and heat energy balance equation are established. The governing equations of thermal con-solidation for homogeneous isotropic materials are presented, accounting for the coupling effects of the temperature, stress and displacement fields. The ease 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.
Keywords:cylindrical cavity  boundary conditions  irreversible thermodynamics  thermo-osmosis  Laplace transform
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