• Optics and Precision Engineering
  • Vol. 31, Issue 5, 565 (2023)
Ou ZOU1,2, Jian XUE3, Na LI2, Xin WANG2..., Rong YANG3 and Yuqiong LI2,*|Show fewer author(s)
Author Affiliations
  • 1College of Engineering Science, University of Chinese Academy of Sciences, Beijing00049, China
  • 2Key Laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing100190, China
  • 3State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing100190, China
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    DOI: 10.37188/OPE.20233105.0565 Cite this Article
    Ou ZOU, Jian XUE, Na LI, Xin WANG, Rong YANG, Yuqiong LI. Inversion method of soil Mohr-Coulomb parameters based on dynamic cavity expansion model[J]. Optics and Precision Engineering, 2023, 31(5): 565 Copy Citation Text show less
    Penetrometer and spherical cavity expansion model
    Fig. 1. Penetrometer and spherical cavity expansion model
    Relationship between penetration resistance Fz and penetration speed square Vz2 [25]
    Fig. 2. Relationship between penetration resistance Fz and penetration speed square Vz2 [25
    Images of surfaces Π1 and Π2
    Fig. 3. Images of surfaces Π1 and Π2
    Intersection lines l1 and l2 and their intersection point under λ≠0 and λ≠3/4
    Fig. 4. Intersection lines l1 and l2 and their intersection point under λ≠0 and λ≠3/4
    Lines L1 and L2 when λ=3/4 or λ=0
    Fig. 5. Lines L1 and L2 when λ=3/4 or λ=0
    Relationship between shear strength and average stress[25]
    Fig. 6. Relationship between shear strength and average stress25
    Fitting of the resistance coefficients based on acceleration and velocity curves
    Fig. 7. Fitting of the resistance coefficients based on acceleration and velocity curves
    Image of the function f(β's) and the relationship between penetration depth and initial speed
    Fig. 8. Image of the function fβ's) and the relationship between penetration depth and initial speed
    Solution domain determined by dynamic cavity expansion model
    Fig. 9. Solution domain determined by dynamic cavity expansion model
    Influence of the fitting interval on the inversion results of C and φ[25]
    Fig. 10. Influence of the fitting interval on the inversion results of C and φ25
    Acceleration curve and the time interval corresponding to the penetration instrument entering different soil layers[25]
    Fig. 11. Acceleration curve and the time interval corresponding to the penetration instrument entering different soil layers25
    Influence of parameters E and η* on the inversion results of C and φ, respectively, where αs=101.48 kN and βs=1.87 kg/m (using the velocity curve[25])
    Fig. 12. Influence of parameters E and η* on the inversion results of C and φ, respectively, where αs=101.48 kN and βs=1.87 kg/m (using the velocity curve25
    Influence of parameters E and η* on the inversion results of C and φ, respectively, where αs=276.92 N and βs=0.30 kg/m (using the penetration depth-initial velocity data[31])
    Fig. 13. Influence of parameters E and η* on the inversion results of C and φ, respectively, where αs=276.92 N and βs=0.30 kg/m (using the penetration depth-initial velocity data31
    密度ρ0/(g·cm-3平均弹性模量E/MPaτ0/MPaλ平均锁定体积应变η*
    1.861601000.13
    Table 1. Soil parameters of Forrestal's experiments25
    密度ρ0/(g·cm-3弹性模量E/MPa内聚力C/kPa内摩擦角/(°)
    1.8636.06130
    Table 2. Soil parameters of He Xiang’s experiments31
    序号初始贯入速度V0/(m·s-1贯入深度P/m
    1152.01.58
    2150.01.61
    3149.01.43
    4203.01.83
    5201.01.79
    6203.01.85
    7253.02.11
    8251.01.97
    9248.01.95
    Table 3. Results of He Xiang’s penetration experiments31

    分组

    编号

    对应表2的实验序号反演得到的内聚力C/kPa反演得到的内摩擦角φ/(°)
    11,4,733.4522.27
    21,4,814.0243.77
    31,4,913.1046.44
    41,5,734.3222.21
    51,5,814.1144.48
    61,5,913.1247.52
    71,6,733.2422.16
    81,6,813.9843.31
    91,6,913.1045.80
    102,4,723.6228.08
    112,4,810.3157.86
    122,4,910.4163.33
    132,5,724.1828.05
    142,5,810.5759.23
    152,5,911.0165.70
    162,6,723.5527.87
    172,6,810.1956.90
    182,6,910.1561.88
    193,4,775.2410.19
    203,4,842.7720.89
    213,4,941.6721.45
    223,5,776.2810.20
    233,5,842.6721.28
    243,5,941.3521.95
    253,6,774.6010.16
    263,6,842.6020.73
    273,6,941.6221.24
    Table 4. Calculation results of the 27 data sets
    Ou ZOU, Jian XUE, Na LI, Xin WANG, Rong YANG, Yuqiong LI. Inversion method of soil Mohr-Coulomb parameters based on dynamic cavity expansion model[J]. Optics and Precision Engineering, 2023, 31(5): 565
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