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Fig 1.

Soft-contact vs hard-contact approach.

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Fig 1 Expand

Fig 2.

Sample contact between two objects (a) and the corresponding Signorini’s complementarity relation (b).

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Fig 3.

A cluster of objects in contact: Schematic diagram of the contact forces (a); and the nested relation between the contact forces (b).

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Fig 3 Expand

Table 1.

Characteristics of chrome steel beads.

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Table 1 Expand

Fig 4.

First row of metal beads placed in the direct shear box.

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Fig 4 Expand

Fig 5.

Velocity of different collision shapes in Bullet with regard to the rotation of tilting plane for interface friction angle of 35° (friction ratio of 0.7).

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Fig 6.

Input friction ratio vs the friction ratio at which slid occurs.

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Fig 7.

The modeled sample in Bullet.

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Fig 8.

Magnified view of the edge of shear box: The effect of gap on the formation of failure plane.

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Fig 9.

Shear strength envelope from the laboratory experiments.

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Fig 10.

Stress-strain curve for the laboratory tests under normal stress of 50 kPa.

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Fig 11.

Stress-strain curve for the laboratory tests under normal stress of 150 and 300 kPa.

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Fig 11 Expand

Fig 12.

Dilative response of the samples for the laboratory tests under normal stress of 150 and 300 kPa.

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Fig 12 Expand

Fig 13.

Movement of a bead subjected to horizontal and normal load.

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Fig 14.

Comparison of shear envelopes obtained from numerical results and laboratory experiments.

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Fig 15.

Comparison of stress-strain curves for numerical and laboratory results.

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Fig 16.

Comparison of dilation curves for numerical and laboratory results.

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Fig 17.

Rotation of metal beads: Prior to shearing(a); at shearing of s/d = 1(b); total rotation of beads located in the proximity of failure plane(c).

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Fig 18.

Displacement vectors of metal beads during shearing for the sample under 150 kPa.

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Fig 19.

2D projected view of the normal chain forces at different stages of shearing (left) and the corresponding accumulated normal forces.

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Fig 20.

Angle of mobilized friction and dilation curves for dense and loose samples.

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Fig 21.

Displacement vector field of the sand grains for dense and loose samples (only the vectors larger than 0.06 mm are visualized).

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Fig 22.

Chain force network of the sand grains for dense (left) and loose (right) samples (only the forces larger than 1.7 N are visualized).

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Fig 22 Expand