GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (8): 951-956.

GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

丁伯阳, 丁翠红, 陈禹, 陶海冰

College of Civil Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China

收稿日期:2002-12-16 修回日期:2004-03-08 出版日期:2004-08-18 发布日期:2004-08-18

GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

DING Bo-yang, DING Cui-hong, CHEN Yu, TAO Hai-bing

College of Civil Engineering, Zhejiang University of Technology, Hangzhou 310014, P. R. China

Received:2002-12-16 Revised:2004-03-08 Online:2004-08-18 Published:2004-08-18

摘要/Abstract

摘要： The Green function on two-phase saturated medium by concentrated force has a broad and important use in seismology, seismic engineering, soil mechanics, geophysics, dynamic foundation theory and so on. According to the Green function on two-phase saturated medium by concentrated force in three-dimentional displacement field obtained by Ding Bo-yang et al.,it gives out the Green function in two-dimensional displacement field by infinite integral method along x 3 direction derived by De Hoop and Manolis. The method adopted in the thesis is simpler.The result will be simplified to the boundary element method of dynamic problem.

关键词: concentrated force, two-phase saturated medium, two-dimensional Green function

Abstract: The Green function on two-phase saturated medium by concentrated force has a broad and important use in seismology, seismic engineering, soil mechanics, geophysics, dynamic foundation theory and so on. According to the Green function on two-phase saturated medium by concentrated force in three-dimentional displacement field obtained by Ding Bo-yang et al.,it gives out the Green function in two-dimensional displacement field by infinite integral method along x 3 direction derived by De Hoop and Manolis. The method adopted in the thesis is simpler.The result will be simplified to the boundary element method of dynamic problem.

Key words: concentrated force, two-phase saturated medium, two-dimensional Green function

中图分类号:

O343.1

丁伯阳;丁翠红;陈禹;陶海冰. GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 951-956.

DING Bo-yang;DING Cui-hong;CHEN Yu;TAO Hai-bing. GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(8): 951-956.

参考文献

[1] DING Bo-yang, SHI Ying, LU Hui. BEM solution of Green's function in computation of dynamic stiffness of pile foundation in saturated soilds[A]. In:LUAN Mao-tian Ed. Numerical and analytical Methods in Geomechanics, Proceedings of 7 th National Conference on Numerical and Analysis Methods in Geomechanics[C]. Dalian: Dali an University of Technology Press, 2001,195-199.(in Chinese).
[2] DING Bo-yang, FAN Liang-ben, DING Cui-hong. On problem of dynamic soil mechanics calculated by Green function and developed[A]. In: LIU Han-long Ed. Proceedings of 6th National Soil Dynamics Conference[C]. Nanjing: The River & Sea University Press, 2002,825-831.(in Chinese).
[3] DING Bo-yang,DING Cui-hong,MENG Fan-li. The Green founction on two-phase saturated medium by concentrated force[J]. Acta Mech Sinica, 2001,33(2): 234-241.(in Chinese).
[4] DING Bo-yang,FAN Liang-ben,WU Jian-hua. The Green founction and wave field on two-phase saturated medium by concentrated force[J]. Chinese J Geophys, 1999,42(6):150-158.
[5] De Hoop A T. The surface line source problem[J]. Appl Sci Res,1958,4(B8):349-356.
[6] Manolis G D. A comparative study on three boundary element approaches to problems in elastodynamics[J]. Internat J Numer Methods Engrg,1983,19(1):73-91.
[7] Chen J. Time domain fundamental solution to Biot' s complete equations of dynamic poroelasticity Part Ⅰ:Three dimensional solution[J]. Internat J Solid Struct, 1994,31(2):169-202.
[8] Chen J. Time domain fundamental solution to Biot's complete equations of dynamic poroelasticity Part Ⅱ: Two dimensional solution[J]. Internat J Solid Struct, 1994,31(10): 1447-1490.
[9] DING Bo-yang, MENG Fan-ii, HU Min-yun. The Source vector and static displacement field by elastic dislocation on the two-phase saturated medium[J]. Act Seis Sinica,2001,23(3):251-258.
[10] Eringen A C, Sububi E S. Elastodynamic. Vol 2. Liner Theory[M]. New York, San-Francisco,London: Academic Press, 1975,76-138.

GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

GREEN FUNCTION ON TWO-PHASE SATURATED MEDIUM BY CONCENTRATED FORCE IN TWO-DIMENSIONAL DISPLACEMENT FIELD

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