摘要
基于热局部非平衡条件下饱和多孔介质热-弹性理论,本文研究了含柱形空洞流体饱和多孔介质在热/冷对流边界条件下的温度、孔隙压力以及固相热应力。应用Laplace变换反演法数值分析了Biot数对温度、孔隙压力以及固相热应力的影响。结果表明:在Biot数为中等值范围内,热局部非平衡效应是非常明显的,热局部非平衡条件下孔隙压力和径向应力绝对值的峰值都几倍高于热局部平衡条件下所对应的值。
In this paper,based on the local thermal non-equilibrium(LTNE) thermo-poroelasticity theory,the temperature,pore pressure and thermal stresses around a cylindrical hole in an infinite fluid saturated porous medium subjected to convective cooling/heating on its boundary were investigated.The LTNE thermo-poroelasticity equations were solved by means of Laplace transform.Numerical examples were presented to examine the effects of LTNE under convective cooling/heating conditions on the temperature,pore pressure and thermal stresses around the hole.The results show that the LTNE effects become more pronounced when the convective heat transfer boundary conditions are employed.The thermal pore pressure and the magnitude of thermal stresses are significantly higher than the corresponding ones in the classical poroelasticity.This is particularly true under convective cooling/heating with moderate Biot numbers.
出处
《力学季刊》
CSCD
北大核心
2011年第4期493-500,共8页
Chinese Quarterly of Mechanics