Based on the deformation features of three-dimensional conical strain wedge of pile side sand, the nonlinear p-y curve of laterally loaded pile in sand was obtained. Constructing the stress system of the front surface of the conical wedge and introducing the hyperbolic stress-strain model of the soil, the expression of lateral soil resistance was derived by considering the horizontal force balance in the plane of the strain wedge. On this basis, the theoretical derivation method of nonlinear p-y curve of laterally loaded pile was established by combining with the finite difference numerical analysis of a beam on elastic foundation. The case analysis of bored and driven model piles using the proposed method shows that the nonlinear p-y curves obtained by the proposed method are closer to the model test results than the p-y curves of API code, hyperbolic p-y curves and the p-y curves obtained by traditional non conical strain wedge model. By comparing the difference between the conical deformation mode and the traditional non conical strain wedge mode and analyzing the effects of pile-soil parameters, the advantages of this method are further demonstrated.
Zhang Xun
,
Hu Zhiping
,
Zhang Chenrong
,
Gao Zhihuang
,
Zhang Yaguo
. p-y Curve Based on Modified Conical Strain Wedge Model of Pile Side Sand[J]. Chinese Journal of Underground Space and Engineering, 2024
, 20(2)
: 387
-397
.
DOI: 10.20174/j.JUSE.2024.02.05
[1]Reese L C, Cox W R, Koop F D. Analysis of laterally loaded piles in sand[A]//Proceedings of 6th Annual Offshore Technology Conference[C]. 1974: 473-483.
[2]Murchinson J M, O'neill M W. Evaluation of p-y relationships in cohesionless soils[A]//Proceedings of Analysis and Design of Pile Foundations [C]. San Francisco, 1984: 174-191.
[3]American Petroleum Institute. Recommended practice for planning, designing and constructing fixed offshore platforms-working stress design[S]. Washington, D.C: American Petroleum Institute Publishing Services, 2005.
[4]Det Norske Veritas. DNV-OS-J101: Design of offshore wind turbine structures[S]. Oslo: Det Norske Veritas, 2007.
[5]Kim B T, Kim N K, Lee W J, et al. Experimental load-transfer curves of laterally loaded piles in Nak-Dong River sand[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2004, 130(4): 416-425.
[6]朱斌, 熊根, 刘晋超, 等. 砂土中大直径单桩水平受荷离心模型试验[J]. 岩土工程学报, 2013, 35(10): 1807-1815. (Zhu Bin, Xiong Gen, Liu Jinchao, et al. Centrifuge modelling of a large-diameter single pile under lateral loads in sand[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(10): 1807-1815. (in Chinese))
[7]Klar A. Upper bound for cylinder movement using “Elastic” fields and its possible application to pile deformation analysis[J]. International Journal of Geomechanics, 2008, 8(2): 162-167.
[8]黄茂松, 俞剑, 张陈蓉. 基于应变路径法的黏土中水平受荷桩p-y 曲线[J]. 岩土工程学报, 2015, 37(3): 400-409. (Huang Maosong, Yu Jian, Zhang Chenrong. p-y curve of lateral pile in clay based on strain path approach[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(3): 400-409. (in Chinese))
[9]李洪江, 刘松玉, 童立元. 基于应力增量的单桩p-y 曲线分析方法[J]. 岩土力学, 2017, 38(10): 2916-2922. (Li Hongjiang, Liu Songyu, Tong Liyuan. A method for p-y curve of a single pile based on stress increment[J]. Rock and Soil Mechanics, 2017, 38(10): 2916-2922. (in Chinese))
[10]邹新军, 聂思卿, 贺琼. 基于桩侧土体应力状态的单桩p-y线分析模型[J]. 铁道科学与工程学报, 2019, 16(11): 2716-2724. (Zou Xinjun, Nie Siqing, He Qiong. Analysis model of p-y curve for monopile based on the stress state of subsoil [J]. Journal of Railway Science and Engineering, 2019, 16(11): 2716-2724. (in Chinese))
[11]张小玲, 赵景玖, 孙毅龙, 等. 基于圆孔扩张理论的桩基水平承载力计算方法[J]. 工程力学, 2021, 38(2): 232-256. (Zhang Xiaoling, Zhao Jingjiu, Sun Yilong, et al. An analysis method for the horizontal bearing capacity of pile foundation based on the cavity expansion theory[J]. Engineering Mechanics, 2021, 38(2): 232-256. (in Chinese))
[12]Norris G M. Theoretically based BEF laterally loaded pile analysis[A]//Proceedings of the 3rd International Conference on Numerical Methods in Offshore Piling [C]. Paris: Technip, 1986: 361-386.
[13]Ashour M, Norris G, Pilling P. Lateral loading of a pile in layered soil using the strain wedge model[J]. Journal of Geotechnical and Geoenvironmental Engineering, 1998, 124(4): 303-315.
[14]Xu L Y, Cai F, Wang G X, et al. Nonlinear analysis of laterally loaded single piles in sand using modified strain wedge model[J]. Computers and Geotechnics, 2013, 51: 60-71.
[15]杨晓峰, 张陈蓉, 黄茂松, 等. 砂土中桩土侧向相互作用的应变楔模型修正[J]. 岩土力学, 2016, 37(10): 2877-2892. (Yang Xiaofeng, Zhang Chenrong, Huang Maosong, et al. Modification of strain wedge method for lateral soil-pile interaction in sand[J]. Rock and Soil Mechanics, 2016, 37(10): 2877-2892. (in Chinese))
[16]Otani J, Pham K D, Sano J. Investigation of failure patterns in sand due to laterally loaded pile using X-ray CT[J]. Soils & Foundations, 2006, 46(4):529-535.
[17]Hajialilue-bonab M, Sojoudi Y, Puppala, A J. Study of strain wedge parameters for laterally loaded piles[J]. International Journal of Geomechanics, 2013, 13(2):143-152.
[18]Zhang L Y, Silva F, Grismala R. Ultimate lateral resistance to piles in cohesionless soils[J]. Journal of Geotechnical & Geoenvironmental Engineering, 2005, 131(1):78-83.
[19]Byrne P M, Cheung H, Yan L. Soil parameters for deformation analysis of sand masses[J]. Canadian Geotechnical Journal, 1987, 24(3): 366-376.
[20]Zhang L Y. Nonlinear analysis of laterally loaded rigid piles in cohesionless soil[J]. Computers and Geotechnics, 2009, 36(5): 718-724.
[21]Vesic A B. Bending of beams resting on isotropic elastic solid[J]. Journal of the Engineering Mechanics Division, 1961, 87(2):35-53.
[22]Brinkgreve R, B J, Harun K E. Validation of empirical formulas to derive model parameters for sands[A]//Proceedings of 7th Numerical Methods in Geotechnical Engineering [C]. 2010: 137-142.
