journal article·2025-01-13Open access

Research on High-Speed Railway Subgrade Design Method Based on Energy Dissipation and Dynamic Stability Characteristics

Zongqi Bi, Yangsheng Ye, Degou Cai, Hongye Yan, Mingzhe Ouyang, Ke Su

Applied Sciences· Volume 15· Issue 2

Abstract

The subgrade structure of high-speed railways is an important foundation for the safe and smooth operation of high-speed trains, and the scientific design of the subgrade structure provides a fundamental guarantee of its durability and technical economy. As, in the development of high-speed railways in China, higher speeds are being pursued, more requirements have been put forward for the dynamic stability of subgrade structures. To address this issue, this article focuses on the control requirements for the long-term stability of subgrade deformation, and various design methods for high-speed railway subgrade structures are presented. Considering the energy dissipation and dynamic stability characteristics of subgrade filling materials, the dynamic performance of coarse-grained soil filling materials in the bottom layer and graded crushed stones in the surface layer are revealed. The methods for determining the values of dynamic parameters such as the dynamic modulus and damping ratio are provided. Based on the dynamic shakedown theory, the stress–strain hysteresis characteristics of fillers and the variation law of dissipated energy are revealed. The correlation between unit volume dissipated energy and shakedown state under cyclic loading conditions is identified. A criterion for determining the critical shakedown state of high-speed railway subgrade structures based on equivalent unit volume dissipated energy is proposed, and a method for determining the design threshold of dynamic stress and dynamic strain is also proposed. The results show that the shakedown design critical values of equivalent unit volume dissipated energy in the bottom and surface layers of the foundation were between 0.0103~0.0133 kJ/m3 and 0.0121~0.0149 kJ/m3, respectively. The critical dynamic strain range was 0.8 × 10−3~1.3 × 10−3. On this basis, a high-speed railway subgrade design method based on energy dissipation and dynamic shakedown characteristics was developed. The results can provide theoretical support for the design of high-speed railway subgrade structures with different filling material alternatives and control standards.
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Research context

OpenAlex topics: Railway Engineering and Dynamics · Geotechnical Engineering and Analysis · Geotechnical Engineering and Soil Stabilization

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

Affiliations

Railway Engineering Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China

State Key Laboratory for Track Technology of High-Speed Railway, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China

China State Railway Group Corporation Limited, Beijing 100844, China

Funding

National Natural Science Foundation of China · Science and Technology Research and Development Plan of China State Railway Group Co., Ltd. · Research Projects of China Academy of Railway Sciences Group Co., Ltd. · Tencent Science Exploration Award in 2022

References (57)

Show source-provided references
1. Seismic Soil-Structure Interaction: Beneficial or Detrimental?10.1080/13632460009350372 ↗
2. A Parametric Study of the Dynamic Soil–Structure Interaction for Shear Vulnerable Structures with Nonlinear Finite Element Modelling10.3390/geotechnics4030037 ↗
3. Guo, H., Su, Q., Li, T., Zhang, Q., Nadakatti, M.M., Yan, H., and Chen, F. (2023). Field Comprehensive Testing and Study on New Subgrade Structure of High-Speed Railway in Diatomaceous Earth Region. Sustainability, 15.10.3390/su15086912 ↗
4. Experimental and Numerical Study on the Dynamic Response of a Superthick Backfill Subgrade under High-Speed Railway Loading: A Case Study of Qianjiang–Zhangjiajie–Changde Railway10.1061/(ASCE)CO.1943-7862.0002407 ↗
5. Morgan, J.R. (1966, January 5–9). The Response of Granular Materials to Repeated Loading. Proceedings of the 3rd Australian Road Research Board Conference, Sydney, Australia.
6. Barksdale, R.D. (1972). Laboratory Evaluation of Rutting in Base Course Materials. Proceeding of 3rd International Conference on the Structural Design of Asphalt Pavements, Michigan State University.
7. Determination of Elastic and Plastic Subgrade Soil Parameters for Asphalt Cracking and Rutting Prediction10.1177/0361198196154000114 ↗
8. Resilient Modulus Measurement of Fine-Grained Subgrade Soils10.3141/1687-01 ↗
9. Ye, Y. (1996). Study on Deformation Characteristics of Saturated Soft Clay Under Unidirectional Cyclic Load. [Ph.D. Thesis, China Academy of Railway Sciences].
10. Constitutive Equation for Permanent Strain of Sand Subjected to Cyclic Loading
11. Qiu, Y.J. (1998). Permanent Deformation of Subgrade Soils Laboratory Investigation and Application in Mechanistic-Based Pavement Design. [Ph.D. Thesis, University of Arkansas].
12. Effects of Repeated Loading on the Strength and Deformation of Compacted Clay
13. Brown, S.F., and Hyde, A.F. (1975). Significance of Cyclic Confining Stress in Repeated Load Triaxial Testing of Granular Material, Transportation Research Board.
14. Experimental Study on Dynamic and Static Mechanical Properties of Coarse-grained Soil Filled in High-speed Railway Subgrade
15. Design of Conventional Rail Track Foundations
16. Study of the Critical Dynamic Stress and Permanent Strain of the Subgrade-Soil under the Repeated Load
17. Critical Stress and Plastic Deformation of Graded Aggregate Material Under Long-term Dynamic Repeat Load
18. Minassian, G.H. (2003). Behavior of Granular Materials Under Cyclic and Repeated Loading. [Ph.D. Thesis, University of Alaska].
19. Experimental Study of the Dynamic Characteristics of Warm-Frozen Silt after Freeze-Thaw Cycles under Cyclic Loading
20. Experimental Study on Cumulative Plastic Strain and Critical Dynamic Stress of Fine-grained Soil Filler Considering Intermittent Load
21. Characteristics of Cumulative Deformation Evolution State of Subgrade Filler under Cyclic Loading and Experimental Verification
22. Liu, G. (2013). Study on the Design Method for Subgrade of High-Speed Railway Base on the Long-Term Cumulative Deformation Evolution State Controlling. [Ph.D. Thesis, Southwest Jiaotong University].
23. Constitutive Model for Cyclic Densification of Coarse-Grained Soil Filler for High-Speed Railway Subgrade Considering Particle Breakage
24. Structural Analysis and Design Method for Subgrade Bed of High-Speed Railway10.1360/04zze9 ↗
25. Zur Plastizität des Räumlichen Kontinuums10.1007/BF02084409 ↗
26. Shakedown Theory in Perfect Elastoplasticity with Associated and Nonassociated Flow-Laws: A Finite Element, Linear Programming Approach10.1007/BF02133439 ↗
27. Dynamic Shakedown in Elastic-Plastic Bodies10.1061/JMCEA3.0002600 ↗
28. Dynamic Shakedown of Elastic-Plastic Solids for a Set of Alternative Loading Histories10.1016/0020-7462(84)90064-7 ↗
29. Shakedown of Pavements under Moving Surface Loads10.1061/(ASCE)0733-947X(1984)110:1(1) ↗
30. Wang, F. (2002). Numerical Methods of Shakedown Analysis of Soil Structure and Its Applications in Evaluation of Bearing Capacity of Offshore Foundations. [Ph.D. Thesis, University of Technology].
31. Seismic Behavior of Slopes by Lower Bound Dynamic Shakedown Theory10.1016/j.compgeo.2011.08.001 ↗
32. Dynamics Shakedown Analysis of Slab Track Substructures with Reference to Critical Speed10.1016/j.soildyn.2017.12.004 ↗
33. Permanent Deformation Behavior of Granular Materials and the Shakedown Concept10.3141/1757-09 ↗
34. Characterization of Permanent Axial Strain of Granular Materials Subjected to Cyclic Loading Based on Shakedown Theory10.1016/j.conbuildmat.2018.12.012 ↗
35. Modeling Stress Path Dependency of Cyclic Plastic Strain Accumulation of Unbound Granular Materials under Moving Wheel Loads10.1016/j.matdes.2017.10.024 ↗
36. Shakedown Behaviors of Railway Ballast under Cyclic Loading10.1016/j.conbuildmat.2017.07.225 ↗
37. Permanent Deformation Characteristics and Shakedown Analysis of Coarse-Grained Embankment Materials under Moving Wheel Loads
38. Wang, S., Li, X., Ti, Y., Zhang, X., Yin, T., Wang, R., Jiang, X., Su, Z., and Hao, J. (2024). Investigation on shakedown response-behavior of thawed subgrade soils under long-term traffic loading. Front. Earth Sci., 12.10.3389/feart.2024.1361283 ↗
39. Characterizing the permanent deformation Response-Behavior of subgrade material under cyclic loading based on the shakedown theory10.1016/j.conbuildmat.2021.125325 ↗
40. Wang, K., Chen, Z., Wang, Z., Chen, Q., and Ma, D. (2023). Critical Dynamic Stress and Cumulative Plastic Deformation of Calcareous Sand Filler Based on Shakedown Theory. J. Mar. Sci. Eng., 11.10.3390/jmse11010195 ↗
41. Liu, G., Zhao, M., Luo, Q., and Lu, R. (2023). Characterization of permanent deformation properties of densely-compacted unbound granular materials subjected to cyclic loading. Sci. Rep., 13.10.1038/s41598-023-30635-7 ↗
42. Liu, G., Zhao, M., Luo, Q., and Zhou, J. (2023). A New Approach for Classifying the Permanent Deformation Properties of Granular Materials under Cyclic Loading. Materials, 16.10.3390/ma16062141 ↗
43. Using the shakedown theory to study the cyclic behaviour of an unreinforced and fibre-reinforced stabilized soft soil10.1080/19386362.2024.2359816 ↗
44. Subgrade soil response to rail loading: Instability mechanisms, causative factors, and preventive measures10.1016/j.trgeo.2024.101267 ↗
45. Plastic shakedown limit of geosynthetic reinforced coarse-grained soil: Experiments and prediction model10.1016/j.geotexmem.2024.04.007 ↗
46. Resilient deformation characteristics of subgrade silty filler under intermittent train loading10.1016/j.trgeo.2023.100952 ↗
47. Critical dynamic stress and shakedown limit criterion of coarse-grained subgrade soil10.1016/j.trgeo.2020.100354 ↗
48. Study on Critical Dynamic Stress of Coarse-grained Soil Based on Large-Scale Dynamic Triaxial Test and Neural Network
49. An Improved Thermo-Parameters Method for Dynamic Shakedown Analysis of Railway Subgrade10.1016/j.trgeo.2021.100657 ↗
50. Effects of pavement roughness on shakedown limits under moving traffic loadings10.1088/1755-1315/1332/1/012005 ↗
51. (2016). National Railway Administration of the People’s Republic of China. Code for Design of Railway Earth Structure (Standard No. TB 10001-2016).
52. Characterisation of Permanent Deformation Behaviour of Silt by Using both Single-Stage and Multi-Stage Repeated Load Triaxial Tests Considering Time Intermittent Effect
53. Random Distribution Characteristics of Peak Dynamic Stress on the Subgrade Surface of Heavy-Haul Railways Considering Track Irregularities10.1016/j.soildyn.2018.10.013 ↗
54. Energy Characteristics and Damage Deformation of Rock Subjected to Cyclic Loading
55. An Analysis of the Mechanical Properties and Energy Characteristics of Damage Deformation of Mudstone under Natural and Saturated States
56. Koiter, W.T. (1960). General Theorems for Elastic-Plastic Solids: Progress in Solid Mechanics, North-Holland Publishing Co.
57. Application of Kinematic Shakedown Theorem in Shakedown Analysis of Pavement Structures