journal article·2026-05-11Open access

Dynamic p-y Model for Laterally Loaded Piles near Clay Slope

Chong Jiang, Yunfei Zhang, Ziqian Ding, Fanhuan Zeng

Applied Sciences· Volume 16· Issue 10

Abstract

Seismic loading can significantly affect the safety and serviceability of structures supported by piles, making seismic performance a key consideration in pile foundation design. The coupling between slope effect and dynamic loading can significantly alter pile–soil interaction and consequently influence the response of laterally loaded piles. In the present study, a dynamic extension of the static p-y curve model for piles near clay slopes is developed for analyzing the response of laterally loaded piles under dynamic loading, based on adjustment of the real stiffness component, and the spring and dashpot model. A computational program based on the Beam on Dynamic Winkler Foundation (BDWF) model is developed for analyzing the dynamic response of piles near a slope. Comparison with finite element simulation results shows that the complex stiffness scheme provides accurate response predictions, thereby validating the effectiveness of the proposed model. Finally, parametric analyses are carried out to investigate the effects of loading parameters (excitation frequency and load amplitude), pile parameters (pile diameter, pile length, and adhesion coefficient), boundary conditions (pile-head and pile-tip constraints), and slope parameter (slope angle). The pile–soil system exhibits a characteristic frequency governed by the soil shear-wave velocity and pile diameter, while being essentially independent of slope angle and pile length. Near this frequency, the pile-head stiffness and damping ratio change significantly. The proposed method provides a practical tool for steady-state dynamic analysis of laterally loaded piles near clay slopes.
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Research context

OpenAlex topics: Geotechnical Engineering and Soil Mechanics · Seismic Performance and Analysis · Geotechnical Engineering and Soil Stabilization

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Resources and Safety Engineering, Central South University, Changsha 410083, China

School of Civil Engineering, Central South University, Changsha 410075, China

Funding

National Natural Science Foundation of China · Department of Science and Technology of Hunan Province

References (33)

Show source-provided references
1. Stability Analysis of Open-Pit Gold Mine Slopes and Optimization of Mining Scheme in Inner Mongolia, China10.1007/s11629-020-6217-x ↗
2. Steiakakis, E., Xiroudakis, G., Lazos, I., Vavadakis, D., and Bazdanis, G. (2023). Stability Analysis of a Multi-Layered Slope in an Open Pit Mine. Geosciences, 13.10.3390/geosciences13120359 ↗
3. Fitting of Anisotropic Strength Parameters of Laminated Shale and Its Influence on Wellbore Instability10.1007/s40948-025-00952-4 ↗
4. Dynamic Responses of an End-Bearing Pile Subjected to Horizontal Earthquakes Considering Water-Pile-Soil Interactions10.1016/j.oceaneng.2021.109726 ↗
5. Kinematic Response of Floating Piles in Two-Layered Soils Subjected to Vertically Incident S-Waves10.1016/j.compgeo.2023.106006 ↗
6. Nonlinear Analysis of Laterally Loaded Rigid Piles at the Crest of Clay Slopes10.1016/j.compgeo.2020.103715 ↗
7. A Method for Predicting Lateral Deflection of Large-Diameter Monopile near Clay Slope Based on Soil-Pile Interaction10.1016/j.compgeo.2021.104180 ↗
8. Study on Calculation Method of Lateral Characteristics of Offshore Pile near Layered Soil Slope10.1016/j.oceaneng.2023.116245 ↗
9. A New p-y Curve Criterion for Piles in Proximity to Undrained Clay Slopes10.1016/j.compgeo.2023.105801 ↗
10. Wu, J., Pu, L., and Zhai, C. (2024). A Review of Static and Dynamic P-y Curve Models for Pile Foundations. Buildings, 14.10.3390/buildings14061507 ↗
11. Undrained Lateral Pile Response in Sloping Ground10.1061/(ASCE)GT.1943-5606.0000373 ↗
12. Development of p–y Curves for Undrained Response of Piles near Slopes10.1016/j.compgeo.2011.09.005 ↗
13. Full-Scale Tests on Effects of Slope on Lateral Capacity of Piles Installed in Cohesive Soils10.1061/(ASCE)GT.1943-5606.0001805 ↗
14. Comparative Field Tests on Straight-Sided and Belled Piers on Sloping Ground under Combined Uplift and Lateral Loads10.1061/(ASCE)GT.1943-5606.0001991 ↗
15. Dynamic Stiffness and Damping of Piles10.1016/0148-9062(75)90105-9 ↗
16. Soil-pile Interaction in Horizontal Vibration10.1002/eqe.4290050305 ↗
17. Elastodynamic Model for Large-Diameter End-Bearing Shafts10.3208/sandf.41.3_31 ↗
18. Resistance of Soil to a Horizontally Vibrating Pile10.1002/eqe.4290050304 ↗
19. Soil Reaction to Lateral Harmonic Pile Motion10.1016/j.soildyn.2016.05.004 ↗
20. Kinematic Response of the Single Floating Piles in the Two-Layered Soil Subjected to Vertically Incident P-Waves10.1016/j.oceaneng.2023.116517 ↗
21. Diffraction around Circular Canyon in Elastic Wedge Space by Plane SH-Waves
22. Scattering and Reflection of SH Waves around a Slope on an Elastic Wedged Space10.1007/s11803-019-0502-0 ↗
23. Kinematic Response of a Pile within a Soil Slope to SH Wave Excitation10.1016/j.soildyn.2024.108730 ↗
24. Dynamic Analysis for Laterally Loaded Piles and Dynamic P-y Curves10.1139/t00-058 ↗
25. Dynamic Analysis of Laterally Loaded Pile Groups in Sand and Clay10.1139/t02-102 ↗
26. Evaluation of P-y Relationships in Cohesionless Soils10.1016/0148-9062(86)91228-3 ↗
27. Experimental Load–Transfer Curves of Laterally Loaded Piles in Nak-Dong River Sand10.1061/(ASCE)1090-0241(2004)130:4(416) ↗
28. P-y Criterion for Rock Mass10.1061/(ASCE)1090-0241(2009)135:1(26) ↗
29. Nonlinear Finite-Element Modeling of Batter Piles under Lateral Load10.1061/(ASCE)1090-0241(2001)127:7(604) ↗
30. Kinematic Response of Single Piles for Different Boundary Conditions: Analytical Solutions and Normalization Schemes10.1016/j.soildyn.2012.09.011 ↗
31. Kinematic Winkler Modulus for Laterally-Loaded Piles10.1016/j.sandf.2017.05.011 ↗
32. Dynamic Behaviour of Laterally Loaded Model Piles in Clay10.1680/geng.2005.158.4.207 ↗
33. Horizontal Response of Piles in Layered Soils10.1061/(ASCE)0733-9410(1984)110:1(20) ↗