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Study on the Hyperbolic Constitutive Model of Sandy Clay Purple Soil with Missing Grain Group
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Yongfu Qin, Likui Mei, Rumeng Tian, Xian Li, Shiji Wang
Chinese Journal of Underground Space and Engineering | 2026, 22(2) : 471 - 480
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Chinese Journal of Underground Space and Engineering | 2026, 22(2): 471-480
Study on the Hyperbolic Constitutive Model of Sandy Clay Purple Soil with Missing Grain Group
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Yongfu Qin, Likui Mei, Rumeng Tian, Xian Li, Shiji Wang
Affiliations
  • College of Engineering Technology, Southwest University, Chongqing 400715, P. R. China
Published: 2026-04-20 doi: 10.20174/j.JUSE.2026.02.09
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The sandy clayey purple soil is susceptible to alterations in particle size distribution due to hydraulic erosion, such as rainfall and fluctuations in reservoir water levels. These changes can affect the soil's strength. To elucidate the strength characteristics of sandy clayey purple soil in the influence of the absence of different particle groups, consolidated drained triaxial shear tests of saturated sandy clayey purple soil with five distinct particle groups were conducted. The fractal dimension was employed to quantify the physical properties of varying particle sizes. The relationship between the strength characteristics of purple soil with different particle groups and the fractal dimension was obtained. The results show that: (1) There is no significant change in the internal friction angle of the soil shear strength index under the missing effect of different grain groups, but the cohesion and fractal dimension show a hyperbolic relationship; the initial tangent modulus of different grain groups is affected by confining pressure and fractal dimension, and there is a quadratic function relationship between parameter n and fractal dimension. Under low confining pressure, the stress-strain relationship of different grain groups is obviously different. With the increase of confining pressure, the stress-strain characteristics tend to be consistent. (2) Based on the Duncan-Chang E-ν model, the nonlinear elastic hyperbolic constitutive model of saturated sandy clayey purple soil under the effect of different particle groups is established by fitting the cohesion-fractal dimension hyperbolic equation, and the validity of the model is verified.

purple soil  /  absence of grain composition  /  fractal dimension  /  hyperbolic constitutive model
Yongfu Qin, Likui Mei, Rumeng Tian, Xian Li, Shiji Wang. Study on the Hyperbolic Constitutive Model of Sandy Clay Purple Soil with Missing Grain Group[J]. Chinese Journal of Underground Space and Engineering, 2026 , 22 (2) : 471 -480 . DOI: 10.20174/j.JUSE.2026.02.09
Year 2026 volume 22 Issue 2
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doi: 10.20174/j.JUSE.2026.02.09
  • Receive Date:2025-06-18
  • Online Date:2026-06-17
  • Published:2026-04-20
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  • Received:2025-06-18
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    College of Engineering Technology, Southwest University, Chongqing 400715, P. R. China
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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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