摘要
在考虑土骨架和孔隙水热膨胀特性差异的基础上,根据力平衡条件、有效应力原理、能量守衡定理及线弹性应力–应变关系,建立了考虑耦合效应的饱和土体热固结问题控制方程。利用 Fourier 变换、Laplace 变换及其逆变换,给出了热固结问题的求解方法。对一无限长圆柱形热源向外传导和扩散问题进行研究,给出了非等温条件下周围饱和土体的温度、孔隙水压力和位移的解析解,并对其变化规律进行研究,分析了热固结系数等参数的影响。
The governing equations of thermal consolidation for a homogeneous isotropic material are presented. The differences of thermal expansion between soil skeleton and pore water are discussed. According to the equations of equilibrium, principle of effective stresses, conservation of energy, and linear stress-strain relationship, the thermal consolidation problems of cylindrical heat source with infinite length for saturated soils are studied. Using Fourier transform, Laplace transform, and their inverse transforms, an approximate analytic solution is achieved under non-isothermal condition. Especially, the basic concepts of coefficient of thermal consolidation and thermal time factor are defined. Finally, the evolutions of temperature, pore water pressure and displacement along radial direction with time factor are analyzed by the proposed method.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2005年第6期1004-1009,共6页
Chinese Journal of Rock Mechanics and Engineering
基金
北京交通大学科技基金资助(2004SM037)
关键词
土力学
饱和土体
圆柱形热源
热固结
解析解
Consolidation
Energy conversion
Fourier transforms
Laplace transforms
Stresses
Thermal expansion
