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Hypoplastic Model for Coarse Soil with an Asymptotic State Boundary Surface
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Feng He1, Shengliang Hu1, Yongqing Xu1, Chenxi Tong2, Jing Cai3, Wei Zhao4, Haichao Li3, **
Chinese Journal of Solid Mechanics | 2025, 46(5) : 655 - 666
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Chinese Journal of Solid Mechanics | 2025, 46(5): 655-666
Research Papers
Hypoplastic Model for Coarse Soil with an Asymptotic State Boundary Surface
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Feng He1, Shengliang Hu1, Yongqing Xu1, Chenxi Tong2, Jing Cai3, Wei Zhao4, Haichao Li3, **
Affiliations
  • 1Nanchang Urban Planning & Design Institute Group Co., Ltd., Nanchang, 330038
  • 2School of Civil Engineering, Central South University, Changsha, 410075
  • 3Transportation Science and Engineering College, Civil Aviation University of China, Tianjin, 300300
  • 4China Railway No.2 Engineering Group No.6 Department Co., Ltd., Chengdu, 610061
Published: 2025-10-27 doi: 10.19636/j.cnki.cjsm42-1250/o3.2025.026
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The mechanical behavior of coarse soil is affected by factors such as relative density, stress level, and loading path, resulting in distinct deformation characteristics, such as dilatancy under low confining pressure and contraction under high confining pressure. This paper develops a hypoplastic model for coarse-grained soil by introducing an asymptotic state boundary surface, which can be used to determine the flow direction of rockfill during shearing. In addition, a new density factor is defined based on the relationship between the current state point and the critical state line in the e-p plane to account for the state-dependent behaviors of coarse-grained soil. Model predictions are compared with the triaxial test data of Type I rockfill from the Changhe Dam to verify the proposed hypoplastic model. Results indicate that an increase in confining pressure reduces the tendency for dilatancy deformation, alongside the occurrence of strain-hardening behavior, as shown in the stress-strain curve under drained loading conditions. Conversely, excess pore water pressure within the specimen decreases as axial strain increases under undrained loading conditions. The proposed model is capable of describing the complex behaviors of coarse-grained soil with a simple formula and serves as a novel technical approach for geotechnical numerical analysis.

coarse-grained soil  /  asymptotic state boundary surface  /  hypoplastic model  /  constitutive equations
Feng He, Shengliang Hu, Yongqing Xu, Chenxi Tong, Jing Cai, Wei Zhao, Haichao Li. Hypoplastic Model for Coarse Soil with an Asymptotic State Boundary Surface[J]. Chinese Journal of Solid Mechanics, 2025 , 46 (5) : 655 -666 . DOI: 10.19636/j.cnki.cjsm42-1250/o3.2025.026
Year 2025 volume 46 Issue 5
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doi: 10.19636/j.cnki.cjsm42-1250/o3.2025.026
  • Receive Date:2025-08-07
  • Online Date:2026-03-20
  • Published:2025-10-27
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  • Received:2025-08-07
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Affiliations
    1Nanchang Urban Planning & Design Institute Group Co., Ltd., Nanchang, 330038
    2School of Civil Engineering, Central South University, Changsha, 410075
    3Transportation Science and Engineering College, Civil Aviation University of China, Tianjin, 300300
    4China Railway No.2 Engineering Group No.6 Department Co., Ltd., Chengdu, 610061
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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