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A nonlinear unified hardening model for breakable siliceous mudstone coarse-grained soil under low confining pressure considering penetrating erosion
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Ling Zhanga, b, c, Yunhao Chena, Xuzhen Hed, *, Shaoheng Daid, Biao Luoa, Daichao Shengd
Journal of Rock Mechanics and Geotechnical Engineering | 2026, 18(5) : 3916 - 3933
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Journal of Rock Mechanics and Geotechnical Engineering | 2026, 18(5): 3916-3933
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A nonlinear unified hardening model for breakable siliceous mudstone coarse-grained soil under low confining pressure considering penetrating erosion
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Ling Zhanga, b, c, Yunhao Chena, Xuzhen Hed, *, Shaoheng Daid, Biao Luoa, Daichao Shengd
Affiliations
  • aCollege of Civil Engineering, Hunan University, Changsha, 410082, China
  • bKey Laboratory of Building Safety and Energy Efficiency of the Ministry of Education, Hunan University, Changsha, 410082, China
  • cNational International Joint Research Center for Building Safety and Environment, Hunan University, Changsha, 410082, China
  • dSchool of Civil and Environmental Engineering, University of Technology Sydney, Sydney, 2007, Australia
  • Ling Zhang is a Professor and Doctoral Supervisor at Hunan University. She earned her Ph.D. in Civil Engineering from Hunan University in 2012. Her research focuses on innovative technologies for the treatment of special soil subgrades and the design of pile foundations in challenging and unique environments. She has led four projects funded by the National Natural Science Foundation of China (NSFC), as well as one project supported by the Hunan Provincial Excellent Young Scholars Fund. To date, she has published over 100 academic papers in core journals at home and abroad, including 42 papers indexed by SCI. Professor Zhang actively contributes to the academic community as a reviewer for several leading international journals in the field of civil and geotechnical engineering, including Geotextiles and Geomembranes, Computers and Geotechnics, ASCE's International Journal of Geomechanics, Ocean Engineering, among others.

Published: 2026-05-25 doi: 10.1016/j.jrmge.2025.06.028
Outline
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The stress-strain behavior of brittle siliceous mudstone coarse-grained soils (SMCGSs) under penetrating erosion critically affects the stability of SMCGS-filled embankments in erosion-prone areas, yet remains insufficiently understood, particularly regarding particle crushing and critical state behavior under low confining pressures. This study proposes a modified constitutive model to characterize erosion-induced mechanical degradation and nonlinear critical state evolution. A normalized parameterϑ, derived from the principle of crushing equivalence, is introduced to capture the coupled effects of particle breakage and critical state shifts under varying erosion intensities. Along with a nonlinear tuning index δ, this parameter is integrated into the unified hardening model for low confining pressure (UH-L), resulting in the N-UH-LE model. Consolidated drained (CD) triaxial tests under confining pressures of 100-400 kPa are conducted for model calibration and validation. The model predictions exhibit strong agreement with experimental results, with a maximum relative error of 7.76 %. The N-UH-LE model successfully reproduces key mechanical responses, including hardening, softening, shear dilation, and volumetric changes across different erosion levels. Furthermore, erosion-induced degradation decreases with lower confining pressures and higher initial void ratios (e0 = 0.3, 0.5, and 0.7), while variations in interlocking strength (τ0cotφ = 40 kPa, 80 kPa, and 120 kPa) show limited influence.© 2026 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Penetrating erosion  /  Particle breakage  /  Critical state  /  Breakable coarse-grained soil (SMCGS)  /  Unified hardening constitutive (UH)
Ling Zhang, Yunhao Chen, Xuzhen He, Shaoheng Dai, Biao Luo, Daichao Sheng. A nonlinear unified hardening model for breakable siliceous mudstone coarse-grained soil under low confining pressure considering penetrating erosion[J]. Journal of Rock Mechanics and Geotechnical Engineering, 2026 , 18 (5) : 3916 -3933 . DOI: 10.1016/j.jrmge.2025.06.028
  • National Natural Science Foundation of China(52378340)
  • Postgraduate Scientific Research Innovation Project of Hunan Province(QL20230104; CX20240431)
  • Shiyanjia Lab
Year 2026 volume 18 Issue 5
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Article Info
doi: 10.1016/j.jrmge.2025.06.028
  • Receive Date:2025-03-02
  • Online Date:2026-06-17
  • Published:2026-05-25
Article Data
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History
  • Received:2025-03-02
  • Revised:2025-05-30
  • Accepted:2025-06-05
Funding
National Natural Science Foundation of China(52378340)
Postgraduate Scientific Research Innovation Project of Hunan Province(QL20230104; CX20240431)
Shiyanjia Lab
Affiliations
    aCollege of Civil Engineering, Hunan University, Changsha, 410082, China
    bKey Laboratory of Building Safety and Energy Efficiency of the Ministry of Education, Hunan University, Changsha, 410082, China
    cNational International Joint Research Center for Building Safety and Environment, Hunan University, Changsha, 410082, China
    dSchool of Civil and Environmental Engineering, University of Technology Sydney, Sydney, 2007, Australia

Corresponding:

* Corresponding author. E-mail address: (X. He).
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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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