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| An analytical solution for one-dimensional nonlinear consolidation of soils#br#
with continuous drainage boundary |
| ZONG Mengfan1,WU Wenbing1,2,3,MEI Guoxiong1,2,3,LIANG Rongzhu1,TIAN Yi1
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| (1. Faculty of Engineering,China University of Geosciences,Wuhan,Hubei 430074,China;2. College of Civil Engineering and Architecture,Guangxi University,Nanning,Guangxi 530004,China;3. Key Laboratory of Disaster Prevention and Structural Safety,Ministry of Education,Guangxi University,Nanning,Guangxi 530004,China) |
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Abstract Based on the assumptions of one-dimensional nonlinear consolidation proposed by Davis and Raymond,one-dimensional nonlinear consolidation of soils under instant loading was investigated by introducing the continuous drainage boundary. An analytical solution of the one-dimensional nonlinear consolidation problem of soils was derived by utilizing variable substitution,variable separation and Laplace transform,and the reasonableness of the solution was verified compared with Davis solution. Influence of different interface parameters or nonlinear parameters on consolidation behavior of soils was analyzed in detail. The results show that the boundary conditions of the presented solution can strictly meet the initial conditions,and that the consolidation equation is well-posed and its solution is continuous. The average consolidation degree,Us,defined by the settlement,increases with increasing the nonlinear parameter ,but the average consolidation degree,Up,defined by the pore pressure, decreases with ascending . Comparisons indicate that the interface parameters have more marked influence on soil consolidation than the nonlinear parameter .
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