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SOLUTIONS FOR CYLINDRICAL CAVITY IN SATURATED THERMOPOROELASTIC MEDIUM

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【Author】 Bing Bai Tao Li (School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China)

【摘要】 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.

【Abstract】 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.

【基金】 supported by the National Natural Science Foundation of China (No. 50879003).
  • 【文献出处】 Acta Mechanica Solida Sinica ,固体力学学报(英文版) , 编辑部邮箱 ,2009年01期
  • 【分类号】TB301
  • 【被引频次】22
  • 【下载频次】41
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