Computational procedure for longterm settlement of
layered medium under cyclic dynamic loads
LIU Meng-cheng1,2, ZHU Hong-zhou1
1.School of Civil Engineering Architecture and Construction,Chongqing Jiaotong University, Chongqing 400074, China;
2. College of Civil Engineering and Architecture, Zhejiang University of Technology, Hangzhou 310014, China
The formulations of some variables were presented for two essential problems of longterm settlement of traffic infrastructures, which were dynamic stresses under the moving strip load, residual stresses, permanent strain and residual settlement induced by traffic loads. The analytical solutions of the dynamic stresses were given for the plane problem of layered medium under the moving strip load by using Fourier integral transform and transfer matrix method, and these solutions were derived from the dynamic differential equation, boundary conditions and continuous conditions between each two layers. A new empirical formulation of permanent strain was proposed by incorporating the influences of stress level and stress path. Then the expressions were offered for the residual stress and longterm settlement of layered medium under cyclic dynamic loads, which was derived from solving an elastic boundary value problem without any dynamic load but with the permanent strain. The variations of longterm settlement on the surface of layered medium were investigated for some cases of circular track tests for semirigid base asphalt pavement. The reasonability and the reliability of the method were verified by the comparison between the test results and the predicted results under three types of subgrade soils.
LIU Meng-Cheng, SHU Hong-Zhou. Computational procedure for longterm settlement of
layered medium under cyclic dynamic loads. J4, 2010, 44(10): 1919-1924.
[1] 蒋建群,周华飞,张土乔.弹性半空间体在移动集中荷载作用下的稳态响应[J].岩土工程学报,2004,26(4): 440-444.
JIANG Jianqun, ZHOU Huafei, ZHANG Tuqiao. Steadystate response of an elastic halfspace under a moving point load [J]. Chinese Journal of Geotechnical Engineering, 2004, 26(4): 440-444.
[2] EASON G. The stresses produced in a semiinfinite solid by a moving surface force [J]. International Journal of Engineering Sciences, 1965, 2(6): 581-609.
[3] HUNG H H, YANG Y B. Elastic waves in viscoelastic half space generated by various vehicle loads [J]. Soil Dynamics and Earthquake Engineering, 2001, 21(1): 1-17.
[4] DE HOOP A T. The movingload problem in soil dynamics: the vertical displacement approximation [J]. Wave Motion, 2003, 36(4): 335-246.
[5] GANARANTE M, SANDERS O. Response of a layered elastic medium to a moving strip load [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1996, 20(3): 191-208.
[6] SHARP R W, BOOKER J R. Shakedown of pavements under moving surface loads [J]. Journal of Transportation Engineering, 1984, 110(1): 1-14.
[7] VERRUIJT A. Soil dynamics [M]. Delft: Delft University of Technology, 1994: 186-213.
[8] MONISMITH C L, OGAWA N, FREEME C R. Permanent deformation characteristics of subgrade soils due to repeated loading [J]. Transportation Research Record, 1975, 537: 1-17.
[9] PAPPIN J W. Characteristics of a granular material for pavement analysis [D]. Nottingham: University of Nottingham, 1979.
[10] SWEERE G T H. Unbound granular bases for roads [D]. Delft: Delft University of Technology, 1990.
[11] WOLFF H, VISSER A T. Incorporating elastoplasticity in granular layer pavement design [C]∥ Proceedings of the Institution of Civil Engineers Transport, London: Thomas Telford Publishing, 1994: 259-272.
[12] LI D, SELIG E T. Cumulative plastic deformation for finegrained subgrade soils [J] Journal of Geotechnical Engineering, 1996, 122(12): 1006-1013.
[13] LEKARP F, DAWSON A. Modeling permanent deformation behavior of unbound granular materials [J]. Construction and Building Materials, 1998, 12(1): 9-18.
[14] CHAI J C, MIURA N. Trafficloadinduced permanent deformation of road on soft subsoil [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2002, 128(11): 907-916.
[15] ABDELKRIM M, BONNET G, BUHAN P. A computational procedure for predicting the long term residual settlement of a platform induced by repeated traffic loading [J]. Computers and Geotechnics, 2003, 30(6): 463-476.
[16] SUIKER A S J, BORST R. The mechanical behavior of ballasted railway tracks [D]. Delft: Delft University of Technology, 1997.