东华大学学报（英文版）2010，Vol.27Issue(3)：407-411,5.
3D Dynamic Response of Layered Unsaturated Soils to Harmonic Loads
3D Dynamic Response of Layered Unsaturated Soils to Harmonic Loads
摘要
Abstract
Considering compression of solid grain and pore fluids,viscous-coupling interactions and inertial force of fluids,dynamic governing equations for unsaturated soils are established by adopting an exact constitutive formula of saturation.These equations are highly versatile and completely compatible with Biot's wave equations for the special case of fully saturated soils.The governing equations in Cartesian coordinates are firstly transformed into a group of state differential equations by introducing the state vector.Then the transfer matrix for layered media are derived by means of a double Fourier transform.Using the transfer matrix followed by boundary and continuity conditions between strata,solutions of steady-state dynamic response for multi-layered unsaturated soils are obtained.Numerical examples show that the echoes generated by boundary and stratum interfaces make the displacement amplitude of the ground surface fluctuate with distance;the relative position of soft and hard strata has a significant influence on displacement.关键词
unsaturated soils/dynamic response/wave equations/double Fourier transform/transfer matrixKey words
unsaturated soils/dynamic response/wave equations/double Fourier transform/transfer matrix分类
建筑与水利引用本文复制引用
XU Ming-jiang,WEI De-min..3D Dynamic Response of Layered Unsaturated Soils to Harmonic Loads[J].东华大学学报（英文版）,2010,27(3):407-411,5.基金项目
National Natural Science Foundation of China(No.10272046) （No.10272046）
