简谐线源荷载作用下热流固耦合地基的动力响应  

Dynamic response of coupling thermo-hydro-mechanical foundation subjected to harmonic line loads

作　　者：卢正[1] 姚海林[1] 刘干斌[2] 骆行文[1] 

机构地区：[1]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071 [2]宁波大学建筑工程与环境学院,浙江宁波315211

出　　处：《岩土力学》2010年第7期2309-2316,共8页Rock and Soil Mechanics

基　　金：中科院知识创新工程重要方向项目(No.kzcx2-yw-150);岩土力学与工程国家重点实验室重点项目(No.SKLZ0806);岩土力学与工程国家重点实验室前沿探索性项目(No.SKLQ016);浙江省科技计划项目资助(No.2008C31030)

摘　　要：基于Biot波动理论和广义热弹性理论,对简谐线源荷载(力荷载和热荷载)作用下的热-流-固耦合地基的动力响应问题进行了研究。将地基看成是均质各向同性、完全饱和的多孔半空间介质,利用无量纲化和Fourier变换方法对热-流-固耦合控制方程进行简化,得到了变换域内应力分量、位移分量、温度分布及超孔隙水压力的一般解,并利用Fourier逆变换得到了相应的积分形式解答。通过数值计算对按热-流-固耦合理论、饱和多孔弹性理论和热弹性理论得到的结果进行了比较,同时分析了热-流-固耦合条件下热荷载激振频率对竖向应力、竖向位移、温度分布以及超孔隙水压力的影响。In this work, the thermodynamic responses of porous elastic foundation subjected to time harmonic normal force and thermal source are investigated in the context of the theory of generalized therrnoelasticity. The material of foundation, obeying Biot＇s dynamic poroelastic theory, is idealized as a uniform, fully saturated poroelastic half-space stra^rn. The coupling thermohydro-mechanical governing equations are derived by employing Biot＇s dynamic poroelastic theory and generalized thermoelastic theory. The general solutions of stress, displacement, temperature distribution and excess pore water pressure are obtained by employing Fourier transform. Considering the normal force and the thermal source acted on the surface of foundation and permeable boundary condition, analytical solutions in the form of integral are derived using the inverse Fourier transform. Furthermore, numerical results are obtained to analyze the differences among coupled thermo-hydro-mechanical theory, coupled hydro-mechanical theory and thermoelastic theory. In addition, the effect of the thermal loading frequency on the components of displacement, stress, temperature distribution and excess pore water pressure are investigated in the numerical results.

关 键 词：简谐线源荷载 热流固耦合 动力响应 FOURIER变换 广义热弹性理论 

分 类 号：TU435[建筑科学—岩土工程]