摘要
基于广义热弹性理论,结合Darcy(达西)定律,对Biot波动方程进行了修正,研究了一个受到椭圆余弦波作用的,均质各向同性半无限大饱和多孔地基的热-水-力多场耦合动态响应问题.建立了饱和多孔弹性地基的热-水-力耦合动力响应模型及控制方程,采用正则模态法求解,得到了问题的解析解,分析了地基中渗透系数变化和椭圆余弦波频率变化对饱和多孔地基中各物理量的影响.最终,给出了无量纲的竖向位移、超孔隙水压力、竖向应力和温度等物理量的分布规律.
Based on Lord and Shulman＇s generalized thermoelastic theory with the relaxation time,the coupled thermo-hydro-mechanical problem for a poroelastic half-space foundation medium subjected to conoidal waves on its surface was investigated. Through modification of Biot＇s theory of dynamic poroelasticity,the foundation medium was idealized as a uniform,fully saturated and poroelastic half-space body.The governing equations of the thermo-hydro-mechanical model were established. The analytical solutions of non-dimensional vertical displacement,excess pore water pressure,vertical stress and temperature were derived with the normal mode analysis method. In addition,the influences of different permeability coefficients and different frequencies on the non-dimensional vertical displacement,excess pore water pressure,vertical stress and temperature,were discussed.
作者
熊春宝
郭颖
刁钰
XIONG Chunbao;GUO Ying;DIAO Yu(School of Civil Engineering, Tianjin University, Tianjin 300072, P.R.Chin)
出处
《应用数学和力学》
CSCD
北大核心
2018年第6期689-699,共11页
Applied Mathematics and Mechanics
基金
国家重点研发计划(2016YFC0802008)~~
关键词
广义热弹性理论
热松弛时间
热-水-力耦合
多孔弹性体
正则模态法
generalized thermoelastic theory
thermal relaxation time
coupled thermo-hydro- mechanical dynamics
poroelastic medium
normal mode analysis
作者简介
熊春宝（1964-），男，教授，博士（E-mail：luhai_tj@126．com）；;郭颖（1990-），女，博士生（通讯作者．E-mail：gytha_ying@tju．edu．cn）．
