半空间饱和土内置点载荷作用下的热弹性波动

COUPLING THERMO-HYDRO-MECHANICAL DYNAMIC RESPONSE OF SATURATED SOIL SUBJECTED TO INTERNAL EXCITATION

基于Biot波动理论及热弹性动力理论,利用已建立的饱和多孔弹性介质热流固耦合控制方程,研究半无限地基在内置点热力源作用下的动力响应问题.求解过程引用Hankel变换技术,得到了热力源作用下土体中温度增量、应力、位移和孔隙水压力的积分形式解答.利用Hankel数值逆变换得到计算结果,分析了热流固耦合条件下激振频率对竖向位移和孔隙水压力响应的影响.对热流固耦合、热弹性和多孔弹性模型计算结果进行了比较.

Dynamic response of saturated half-space foundation subject to an internal heat/mechanical excitation is investigated theoretically with Blot＇s wave theory and thermodynamic theory. The foundation is idealized to be uniform and poroelastic. The governing equations of the thermo-hydro-mechanical coupling are presented. The analytical solutions of temperature increment, stress, displacement and pore pressure are derived with the forward and the inverse Hankel transform. Numerical results are obtained to analyze the effect of the internal excitation frequency on the vertical displacement and the pore pressure. In addition, the cases of thermo-elastic and porous elastic models are compared in the numerical results.