8.11: Nomenclature
- Page ID
- 34848
a, \(\ \tau_\mathrm{a}\) |
Adhesive shear strength |
kPa |
A |
Adhesive force on the blade |
kN |
BTS |
Brazilian Tensile Strength |
kPa |
c, \(\ \tau_\mathrm{c}\) |
Cohesive shear strength |
kPa |
cm |
Mobilized cohesive shear strength |
kPa |
C |
Cohesive force on shear plane |
kN |
Esp |
Specific energy |
kPa |
F |
Force |
kN |
Fc |
Cutting force on chisel Evans model |
kN |
Fn |
Normal force on chisel Evans model |
kN |
Fch |
Horizontal force component Evans model |
kN |
Fcv |
Vertical force component Evans model |
kN |
Fh |
Horizontal cutting force |
kN |
Fv |
Vertical cutting force |
kN |
g |
Gravitational constant (9.81) |
m/s2 |
G |
Gravitational force |
kN |
hi |
Initial thickness of layer cut |
m |
hb |
Height of the blade |
m |
K1 |
Grain force on the shear plane |
kN |
K2 |
Grain force on the blade |
kN |
I |
Inertial force on the shear plane |
kN |
n |
Power in Nishimatsu model |
- |
N1 |
Normal grain force on shear plane |
kN |
N2 |
Normal grain force on blade |
kN |
p |
Stress in shear plane Nishimatsu model |
kPa |
p0 |
Stress at tip of chisel Nishimatsu model |
kPa |
Pc |
Cutting power |
kW |
Q |
Production |
m3 |
r |
Radius in Evans model |
m |
r |
Adhesion/cohesion ratio |
- |
r1 |
Pore pressure on shear plane/cohesion ratio |
- |
r2 |
Pore pressure on blade/cohesion ratio |
- |
R |
Radius of Mohr circle |
kPa |
R |
Force on chisel Evans model |
kN |
Rn |
Normal force on chisel surface Evans model |
kN |
Rf |
Friction force on chisel surface Evans model |
kN |
R1 |
Acting point on the shear plane |
m |
R2 |
Acting point on the blade |
m |
S1 |
Shear force due to internal friction on the shear plane |
kN |
S2 |
Shear force due to external friction on the blade |
kN |
T |
Tensile force |
kN |
UCS |
Unconfined Compressive Strength |
kPa |
vc |
Cutting velocity |
m/s |
w |
Width of the blade |
m |
W1 |
Force resulting from pore under pressure on the shear plane |
kN |
W2 |
Force resulting from pore under pressure on the blade |
kN |
α |
Blade angle |
rad |
β |
Angle of the shear plane with the direction of cutting velocityrad |
rad |
ε |
Angle of chisel with horizontal Evans model |
rad |
\(\ \tau\) |
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 |
\(\ \tau_{\mathrm{S1}}\) |
Average shear stress on the shear plane |
kPa |
\(\ \tau_{\mathrm{S2}}\) |
Average shear stress on the blade |
kPa |
σ |
Normal stress |
kPa |
σC |
Center of Mohr circle |
kPa |
σT |
Tensile strength |
kPa |
σmin |
Minimum principal stress in Mohr circle |
kPa |
σN1 |
Average normal stress on the shear plane |
kPa |
σN2 |
Average normal stress on the blade |
kPa |
φ |
Angle of internal friction |
rad |
δ |
Angle of external friction |
rad |
λ |
Distance in Nishimatsu model |
m |
λs |
Strengthening factor |
- |
λ1 |
Acting point factor on the shear plane |
- |
λ2 |
Acting point factor on the blade |
- |
λHF |
Flow Type/Crushed Type horizontal force coefficient |
- |
λVF |
Flow Type/Crushed Type vertical force coefficient |
- |
λHT |
Tear Type/Chip Type horizontal force coefficient |
- |
λVT |
Tear Type/Chip Type vertical force coefficient |
- |
ω |
Angle in Evans model |
rad |