7.9: Nomenclature
- Page ID
- 34822
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a |
Adhesion |
kPa |
A |
Adhesive force on the blade |
kN |
B |
Frequency (material property) |
1/s |
c |
Cohesion |
kPa |
cm |
Mobilized shear strength |
kPa |
C |
Cohesive force on shear plane |
kN |
E |
Energy level |
J/kmol |
Ea |
Activation energy level |
J/kmol |
El |
Limiting (maximum) energy level |
J/kmol |
Esp |
Specific cutting energy |
kPa |
f |
Shear force on flow unit |
N |
F |
Cutting force |
kN |
Fh |
Horizontal cutting force |
kN |
Fv |
Vertical cutting force |
kN |
G |
Gravitational force |
kN |
h |
Planck constant (6.626·10-34 J·s) |
J·s |
hb |
Blade height |
m |
hb,m |
Mobilized blade height |
m |
hi |
Layer thickness |
m |
k |
Boltzman constant (1.3807·10-23 J/K) |
J/K |
K |
Constant Herschel Bulkley equation |
- |
K1 |
Grain force on the shear plane |
kN |
K2 |
Grain force on the blade |
kN |
i |
Coefficient |
- |
I |
Inertial force on the shear plane |
kN |
n |
Power of strain rate equation |
- |
N |
Avogadro constant (6.02·1026 1/kmol) |
- |
N1 |
Normal force on shear plane |
kN |
N2 |
Normal force on blade |
kN |
p |
Probability |
- |
Pc |
Cutting power |
kW |
r |
Ratio adhesive force to cohesive force |
- |
rm |
Mobilized ratio adhesive force to cohesive force |
- |
rT |
Ratio adhesive force to tensile force |
- |
R |
Universal gas constant (8314 J/kmol/K) |
J/kmol/K |
R1 |
Acting point on shear plane |
m |
R2 |
Acting point on blade |
m |
S |
Number of bonds per unit area |
1/m2 |
S1 |
Shear force due to internal friction on the shear surface |
kN |
S2 |
Shear force due to soil/steel friction on the blade |
kN |
SPT |
Standard Penetration Test |
Blows/foot |
T |
Absolute temperature |
K |
T |
Tensile force |
kN |
vc |
Cutting velocity |
m/s |
w |
Blade width |
m |
W1 |
Force resulting from pore under pressure on the shear plane |
kN |
W2 |
Force resulting from pore under pressure on the blade |
kN |
X |
Function |
- |
α |
Blade angle |
rad |
β |
Angle of the shear plane with the direction of cutting velocity |
rad |
\(\ \dot{\varepsilon}_{\mathbf{a}}\) |
Strain rate adhesion |
1/s |
\(\ \dot{\varepsilon}_{\mathbf{c}}\) |
Strain rate cohesion |
1/s |
\(\ \dot{\varepsilon}_{0}\) |
Strain rate from triaxial test |
1/s |
\(\ v\) |
frequency of activation |
1/s |
λ |
Distance between equilibrium positions |
m |
λa |
Strain rate factor adhesive force |
- |
λc |
Strain rate factor cohesive force |
- |
λs |
Strain rate factor average adhesion and cohesion (usually 2) |
- |
λ1 |
Acting point factor on shear plane |
- |
λ2 |
Acting point factor on blade |
- |
λHF |
Horizontal cutting force coefficient Flow Type |
- |
λVF |
Vertical cutting force coefficient Flow Type |
- |
λHT |
Horizontal cutting force coefficient Tear Type |
- |
λVT |
Vertical cutting force coefficient Tear Type |
- |
λHC |
Horizontal cutting force coefficient Curling Type |
- |
λVC |
Vertical cutting force coefficient Curling Type |
- |
dε/dt |
Strain rate |
1/s |
dε0/dt |
Frequency (material property) |
1/s |
\(\ \tau\) |
Shear stress |
kPa |
\(\ \tau_{\mathrm{a}}\), a |
Adhesive shear strength (strain rate dependent) |
kPa |
\(\ \tau_{\mathrm{c}}\), c |
Cohesive shear strength (strain rate dependent) |
kPa |
\(\ \tau_\mathrm{y}\) |
Shear strength (yield stress, material property) |
kPa |
\(\ \tau_\mathrm{ya}\) |
Adhesive shear strength (material property) |
kPa |
\(\ \tau_\mathrm{yc}\) |
Cohesive shear strength (material property) |
kPa |
\(\ \tau_0\) |
Dynamical shearing resistance factor (material property) |
kPa |
σe |
Effective stress |
kPa |
σn |
Normal stress |
kPa |
σN1 |
Normal stress on shear plane |
kPa |
σN2 |
Normal stress on blade |
kPa |
σt |
Tensile strength |
kPa |
φ |
Angle of internal friction |
rad |
δ |
Soil/steel friction angle |
rad |