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变温度荷载作用下半无限成层饱和介质的热固结分析
引用本文:白冰. 变温度荷载作用下半无限成层饱和介质的热固结分析[J]. 应用数学和力学, 2006, 27(11): 1341-1348
作者姓名:白冰
作者单位:北京交通大学 土木建筑工程学院,北京 100044
摘    要:对半无限成层饱和多孔介质作用随时间变化的温度荷载的热固结问题进行解析求解.其中,热-水-力耦合线性弹性控制方程考虑了热渗效应和等温热流效应的影响.先采用Laplace变换求其在变换域上的解,然后用数值方法求逆变换.对半无限体表面作用呈指数衰减热荷载的双层体系进行研究,分析了两层介质热固结系数、弹性模量等的差异性对热固结特征的影响.研究表明:位移场和应力场对温度场的耦合作用可以忽略,而热渗效应对温度和孔压有显著影响.

关 键 词:温度荷载   半无限体   多孔介质   数值积分
文章编号:1000-0887(2006)11-1341-08
收稿时间:2005-12-01
修稿时间:2006-07-02

Thermal Consolidation of Layered Porous Half-Space to Variable Thermal Loading
BAI Bing. Thermal Consolidation of Layered Porous Half-Space to Variable Thermal Loading[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1341-1348
Authors:BAI Bing
Affiliation:School of Civil and Architecture Engineering, Beijing Jiaotong University, Beijing 100044, P. R. China
Abstract:An analytical method was derived for the thermal consolidation of layered,saturated porous half-space to variable thermal loading with time.In the coupled governing equations of linear thermoelastic media,the influences of thermo-osmosis effect and thermal filtration effect were introduced.Solutions in Laplace transform space were first obtained and then numerically inverted.The responses of a double-layered porous space subjected to exponential decaying thermal loading were studied.The influences of the differences between the properties of the two layers(e.g.the coefficient of thermal consolidation,elastic modulus) on thermal consolidation were discussed.The studies show that the coupling effects of displacement and stress fields on temperature field can be completely neglected,however,the thermo-osmosis effect has an obvious influence on thermal responses.
Keywords:thermal loading  half-space body   porous medium  numerical integration
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