SOLUTIONS FOR CYLINDRICAL CAVITY IN SATURATED THERMOPOROELASTIC MEDIUM |
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Authors: | Bing Bai Tao Li |
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Affiliation: | School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China |
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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. |
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Keywords: | cylindrical cavity boundary conditions irreversible thermodynamics thermo-osmosis Laplace transform |
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