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Fig 1.

Case histories from the SPT of cohesionless soils with a fine content (FC) of 35% or greater include the NCEER Workshop (1997) curve, along with the suggested curves for both clean sand and FC = 35% for a magnitude of 7½ and a vertical effective stress of 1 atm. (Idriss and Boulanger, 2004 [9]).

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Table 1.

Properties of Monterey Sand.

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Table 2.

Properties of Leyden Clay.

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Table 3.

Uniformity coefficients and coefficients of curvature values for five soil samples with fines content.

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Fig 2.

Distribution of grain sizes in the soil samples utilized.

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Fig 3.

CHCT devices at UCD.

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Fig 4.

Schematic diagram of the cyclic hollow cylinder test device at UCD (J. W. Chen 1988 [21]).

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Table 4.

Equations governing stresses and strains in the CHCT (Hight, et al., (1983) [24]).

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Fig 5.

Loading and stress scenarios for hollow cylinder testing.

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Table 5.

Characteristics of soil sample mixtures, the test conditions, and the results are summarized.

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Fig 6.

Cyclic shear stress versus the number of cycles to liquefaction in cyclic hollow cylinder test.

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Fig 7.

Change in pore water pressure in relation to number of cycles to liquefaction in the CHCT.

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Fig 8.

Cyclic shear stress and excess pore pressure versus number of cycles to reach liquefaction on soil sample (Dr=30%) with 5% of fine content.

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Fig 9.

Cyclic shear stress and excess pore pressure versus number of cycles to reach liquefaction on soil sample (Dr=30%) with 15% of fine content.

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Fig 10.

Cyclic shear stress and excess pore pressure versus number of cycles to reach liquefaction on soil sample (Dr=60%) with 15% of fine content.

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Fig 11.

Cyclic shear stress and excess pore pressure versus number of cycles to reach liquefaction on soil sample (Dr=60%) with 25% of fine content.

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Fig 12.

Cyclic shear stress and excess pore pressure versus number of cycles to reach liquefaction on soil sample (Dr=60%) with 35% of fine content.

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Fig 13.

Cyclic stress ratio versus number of cycles to reach liquefaction for clean sand under effective stress of 103kpa and 207kpa.

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Fig 14.

Cyclic stress ratio versus number of cycles to reach liquefaction for soil specimens with varying percentages of fine content under effective stress of 103kpa.

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Fig 15.

Cyclic stress ratio versus number of cycles to reach soil liquefaction for soil specimens with varying percentages of fine content under effective stress of 207 kpa.

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Fig 16.

Cyclic stress ratio requires for reaching soil liquefaction after 8 cycles versus different soil specimens in CHCT.

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Fig 17.

Cyclic stress ratio requires for reaching soil liquefaction after 27 cycles versus different soil specimens in CHCT.

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Fig 18.

Cyclic stress ratio requires for reaching soil liquefaction after 20 cycles versus different soil specimens in CHCT.

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Fig 19.

Cyclic stress ratio requires for reaching soil liquefaction after 40 cycles versus different soil specimens in CHCT.

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Fig 20.

Flow chart of the machine learning model.

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Fig 21.

Schematic diagram of BPNN.

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Fig 22.

Neural network inside steps.

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Fig 23.

Effect of neuron numbers on the training model.

(a) Two neurons in hidden layer.Four neurons in hidden layer. (b) Eight neurons in hidden layer.

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Fig 24.

Validation performance of the BP neural network.

(a) Performance. (b) Training state.

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Fig 25.

Comparison between predicted and actual values.

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