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

作     者：LIU GanBin XIE KangHe ZHENG RongYue 

作者机构：College of CivilConstruction and Environmental EngineeringNingbo UniversityNingbo 315211China Institution of Geotechnical EngineeringZhejiang UniversityHangzhou 310027China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2009年第52卷第8期

页      面：2373-2383页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

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

主　　题：nonlinear thermo-hydro-elastodynamic dynamic response laplace transform 

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.