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The Green''''s function of the harmonic horizontal force applied at the interior of the saturated half-space soil
引用本文:陆建飞,王建华,沈为平. The Green''''s function of the harmonic horizontal force applied at the interior of the saturated half-space soil[J]. 地震学报(英文版), 2001, 0(2)
作者姓名:陆建飞  王建华  沈为平
作者单位:LU Jian-fei1) WANG Jian-hua2) SHEN Wei-ping2) 1) Jiangsu University of Science and Technology,Zhenjiang,Jiangsu 212013,China 2) Shanghai Jiaotong University,Shanghai 200030,China
基金项目:State Natural Science Foundation (59879012) and Doctoral Foundation from State Education Commission (98024832).
摘    要:IntroductionThe wave propagation problems in saturated soil are very important for the civil engineering, geophysics and seismology. Biot (1956,1962) established the theory of wave propagation in saturated soil firstly, and hereafter many researchers have used Biot theory to study wave propagation problems in saturated soil. By using integral transform and potential function method, Philippacopoulos (1988) studied the Lamb(s problem of a vertical point force applied to the surface of saturate…


The Green''''s function of the harmonic horizontal force applied at the interior of the saturated half-space soil
LU Jian-fei) WANG Jian-hua) SHEN Wei-ping) ) Jiangsu University of Science and Technology,Zhenjiang,Jiangsu ,China ) Shanghai Jiaotong University,Shanghai ,China. The Green''''s function of the harmonic horizontal force applied at the interior of the saturated half-space soil[J]. Acta Seismologica Sinica(English Edition), 2001, 0(2)
Authors:LU Jian-fei) WANG Jian-hua) SHEN Wei-ping) ) Jiangsu University of Science  Technology  Zhenjiang  Jiangsu   China ) Shanghai Jiaotong University  Shanghai   China
Affiliation:LU Jian-fei1) WANG Jian-hua2) SHEN Wei-ping2) 1) Jiangsu University of Science and Technology,Zhenjiang,Jiangsu 212013,China 2) Shanghai Jiaotong University,Shanghai 200030,China
Abstract:By using integral transform methods, the Green(s functions of horizontal harmonic force applied at the interior of the saturated half-space soil are obtained in the paper. The general solutions of the Biot dynamic equations in frequency domain are established through the use of Hankel integral transforms technique. Utilizing the above- mentioned general solutions, and the boundary conditions of the surface of the half-space and the continuous conditions at the plane of the horizontal force, the solutions of the boundary value problem can be determined. By the numerical inverse Hankel transforms method, the Green(s functions of the harmonic horizontal force are obtainable. The degenerate case of the results deduced from this paper agrees well with the known results. Two numerical examples are given in the paper.
Keywords:Biot theory  Hankel transforms  Green(s function  asymmetric
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