Model of nonlinear coupled thermo-hydro-elastodynamics response for a saturated poroelastic medium  

作　　者：LIU GanBin XIE KangHe ZHENG RongYue 

机构地区：[1]College of Civil,Construction and Environmental Engineering,Ningbo University,Ningbo 315211,China [2]Institution of Geotechnical Engineering,Zhejiang University,Hangzhou 310027,China

出　　处：《Science China(Technological Sciences)》2009年第8期2373-2383,共11页中国科学（技术科学英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 50679074) ;ZJ(NB)NSF (Grant Nos. Y107637, 2007A6100626)

摘　　要：Based on the Biot’s wave equation and theory of thermodynamic, Darcy law of fluid and the modified Fourier law of heat conduction, a nonlinear fully coupled thermo-hydro-elastodynamic response model (THMD) for saturated porous medium is derived. The compressibility of the medium, the influence of fluid flux on the heat flux, and the influence of change of temperature on the fluid flux are considered in this model. With some simplification, the coupled nonlinear thermo-hydro-elastodynamic response model can be reduced to the thermo-elastodynamic (TMD) model based on the traditional Fourier law and, further more, to the Biot’s wave equation without considering the heat phase. At last, the problem of one dimensional cylindrical cavity subjected to a time-dependent thermal/mechanical shock is analyzed by using the Laplace technique, the numerical results are used to discuss the influence of Biot’s modulus M and coefficient of thermoos-mosis on displacement and to compare with the results of thermo-elastodynamic response to ascertain the validity of this model.Based on the Biot’s wave equation and theory of thermodynamic, Darcy law of fluid and the modified Fourier law of heat conduction, a nonlinear fully coupled thermo-hydro-elastodynamic response model (THMD) for saturated porous medium is derived. The compressibility of the medium, the influence of fluid flux on the heat flux, and the influence of change of temperature on the fluid flux are considered in this model. With some simplification, the coupled nonlinear thermo-hydro-elastodynamic response model can be reduced to the thermo-elastodynamic (TMD) model based on the traditional Fourier law and, further more, to the Biot’s wave equation without considering the heat phase. At last, the problem of one dimensional cylindrical cavity subjected to a time-dependent thermal/mechanical shock is analyzed by using the Laplace technique, the numerical results are used to discuss the influence of Biot’s modulus M and coefficient of thermo-osmosis on displacement and to compare with the results of thermo-elastodynamic response to ascertain the validity of this model.

关 键 词：NONLINEAR thermo-hydro-elastodynamic dynamic response LAPLACE transform 

分 类 号：O357.3[理学—流体力学]