The Delft Sand, Clay & Rock Cutting Model, 2019a

The Delft Sand, Clay & Rock Cutting Model.
16.5.3. Calc.: The Shear Angle.
Suppose the cutting of dry sand is completely dominated by the inertial forces. Derive the analytical solution
for the shear angle based on the minimum energy principle.
2
sin cos
Fh s vc hi
w sin
sin sin
This is at a minimum when the denominator is at a maximum, so:
sin sin 0
cos sin sin cos sin 2 2 0
2 2
2
2 2
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