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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 956076, 11 pages
Research Article

Mathematical Model and Analysis of Negative Skin Friction of Pile Group in Consolidating Soil

1College of Civil and Transportation Engineering, Hohai University, Xikang Road No. 1, Nanjing, Jiangsu 210098, China
2State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
3Department of Civil Engineering, The University of Akron, Akron, OH 44325-3905, USA

Received 3 August 2013; Revised 10 October 2013; Accepted 11 October 2013

Academic Editor: Youqing Wang

Copyright © 2013 Gangqiang Kong et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In order to calculate negative skin friction (NSF) of pile group embedded in a consolidating soil, the dragload calculating formulas of single pile were established by considering Davis one-dimensional nonlinear consolidation soils settlement and hyperbolic load-transfer of pile-soil interface. Based on effective influence area theory, a simple semiempirical mathematical model of analysis for predicting the group effect of pile group under dragload was described. The accuracy and reliability of mathematical models built in this paper were verified by practical engineering comparative analysis. Case studies were studied, and the prediction values were found to be in good agreement with those of measured values. Then, the influences factors, such as, soil consolidation degree, the initial volume compressibility coefficient, and the stiffness of bearing soil, were analyzed and discussed. The results show that the mathematical models considering nonlinear soil consolidation and group effect can reflect the practical NSF of pile group effectively and accurately. The results of this paper can provide reference for practical pile group embedded in consolidating soil under NSF design and calculation.