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3.10: Nomenclature

Last updated

Mar 5, 2021
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- 3.9: Specific Cutting Energy Esp
- 4: Which Cutting Mechanism for Which Kind of Soil?

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a₁, a₂	Coefficients for weighted permeability	-
a, $\ \tau_\mathrm{a}$	Adhesion or external shear strength	kPa
A	Adhesive force on the blade	kN
c, $\ \tau_\mathrm{c}$	Cohesion or internal shear strength	kPa
C, C₁	Force due to cohesion in the shear plane	kN
C₂	Force due to cohesion on the front of the wedge	kN
C₃	Force due to cohesion at the bottom of the wedge	kN
F_h	Horizontal cutting force	kN
F_f1	Friction force on the shear surface	kN
F_f2	Friction force on the blade	kN
F_n1	Normal force on the shear surface	kN
F_n2	Normal force on the blade	kN
F_v	Vertical cutting force	kN
F_d1	Deviation force on the shear surface	kN
F_{d, d2}	Deviation force on the blade	kN
F_x1_{, 2}	Cutting force in x-direction	kN
F_y1_{, 2}	Cutting force in y-direction	kN
F_z1_{, 2}	Cutting force in z-direction	kN
g	Gravitational constant (9.81)	m/s²
G, G₁	Gravitational force on the layer cut	kN
G₂	Gravitational force on the wedge	kN
h_i	Initial thickness of layer cut	m
h_b	Height of blade	m
h_b,m	Effective height of the blade in case Curling Type	m
I	Inertial force on the shear plane	kN
k_i	Initial permeability	m/s
k_max	Maximum permeability	m/s
k_m	Average permeability	m/s
K₁	Grain force on the shear plane	kN
K₂	Grain force on the blade or the front of the wedge	kN
K₃	Grain force on the bottom of the wedge	kN
K₄	Grain force on the blade (in case a wedge exists)	kN
n_i	Initial porosity	%
n_max	Maximum porosity	%
N₁	Normal force on the shear plane	kN
N₂	Normal force on the blade or the front of the wedge	kN
N₃	Normal force on the bottom of the wedge	kN
N₄	Normal force on the blade (in case a wedge exists)	kN
p_1m	Average pore pressure on the shear surface	kPa
p_2m	Average pore pressure on the blade	kPa
Pc	Cutting power	kW
R₁	Acting point of resulting forces on the shear plane	m
R₂	Acting point of resulting forces on the blade	m
R₃	Acting point of resulting forces on the bottom of the wedge	m
R₄	Acting point of resulting forces on the blade (in case a wedge exists)	m
S₁	Shear force due to friction on the shear plane	kN
S₂	Shear force due to friction on the blade or the front of the wedge	kN
S₃	Shear force due to friction at the bottom of the wedge	kN
S₄	Shear force due to friction on the blade (in case a wedge exists)	kN
v_c	Cutting velocity component perpendicular to the blade	m/s
v_d	Cutting velocity, drag velocity	m/s
v_r1	Velocity of grains in the shear surface	m/s
v_r2	Relative velocity of grains on the blade	m/s
v_d1	Deviation velocity of grains in the shear surface	m/s
v_d2	Deviation velocity of grains on the blade	m/s
v_x1_,2	Velocity of grains in the x-direction	m/s
v_y1_,2	Velocity of grains in the y-direction	m/s
v_z1_,2	Velocity of grains in the z-direction	m/s
W	Width of blade	m
W₁	Force resulting from pore under pressure on the shear plane	kN
W₂	Force resulting from pore under pressure on the blade/ front wedge	kN
W₃	Force resulting from pore under pressure on the bottom of the wedge	kN
W4	Force resulting from pore under pressures on the blade, wedge	kN
Z	Water depth	m
$\ \alpha$	Cutting angle blade	rad
β	Shear angle	rad
ε	Dilatation	-
φ	Angle of internal friction	rad
φ_e	Angle of internal friction perpendicular to the cutting edge	rad
λ_s	Strengthening factor	-
λ₁	Acting point factor for resulting forces on the shear plane	-
λ₂	Acting point factor for resulting forces on the blade or front of wedge	-
λ₃	Acting point factor for resulting forces on the bottom of the wedge	-
λ₄	Acting point factor for resulting forces on the blade	-
δ	External friction angle	rad
δ_e	External friction angle perpendicular to the cutting edge	rad
$\ \iota$	Deviation angle blade	rad
ρ_s	Density of the soil	ton/m³
ρ_l	Density water	ton/m³
θ	Wedge angle	rad

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