ABSTRACT
This article aims to predict performances of oblique machining with a single cutting edge. A thermomechanical approach for the modeling of oblique cutting with a single cutting edge is proposed. A good agreement was found between predicted and experimental data. New rules were established to determine experimentally the average friction coefficient and chip flow angle at the rake face. The computation algorithm permits to predict all thermomechanical parameters such as cutting forces, cutting temperatures, and chip geometry. Besides, all predicted oblique machining parameters are mainly controlled by the Po-criterion, which is defined as the ratio of tool–chip contact length to uncut chip thickness.
Nomenclature
ap | = | Cutting depth [mm] |
c | = | Work material's specific heat [J/Kg/K] |
f | = | Feed rate [mm/rev] |
= | Average coefficient of friction at tool–chip contact | |
Fc | = | Tangential force [N] |
Ff | = | Feed force [N] |
Fr | = | Radial force [N] |
Fsh | = | Shearing force [N] |
h | = | Primary shear zone thickness [mm] |
k | = | Work material's thermal conductivity [Wm/K] |
lc | = | Tool–chip contact length [mm] |
Nc/t | = | Normal component of the force applied by chip on tool [N] |
Nsh | = | Normal force to shearing plane [N] |
p0 | = | Maximum normal stress at tool–chip contact [N/mm²] |
= | Average normal stress at tool–chip contact [N/mm²] | |
p(x) | = | Hydrostatic pressure along shear plane [N/mm²] |
pM, pN | = | Hydrostatic pressure at points M and N [N/mm²] |
p(zfl) | = | Tool–chip contact pressure [N/mm²] |
Rc/t | = | Force applied by chip on tool [N] |
Rwp/c | = | Force applied by workpiece on chip [N] |
Ssh | = | Shearing surface area [mm²] |
t1 | = | Uncut chip thickness [mm] |
t2 | = | Chip thickness [mm] |
Tc/t | = | Tangential component of force applied by chip on tool [N] |
Tf | = | Workpiece melting temperature [K] |
T0 | = | Initial workpiece temperature [K] |
Tsh | = | Shearing temperature [K] |
= | Average tool–chip interface temperature [K] | |
Tmaxchip | = | Maximum temperature rise to the chip [K] |
Vc | = | Cutting speed [m/min] |
Vchip | = | Chip velocity [mm/s] |
Vsh | = | Shearing velocity [mm/s] |
αn | = | Normal rake angle [°] |
δ | = | Secondary shear zone thickness ratio to chip thickness ratio |
φn | = | Normal shear angle [°] |
ϕ | = | Friction angle at tool–chip contact [°] |
γsh | = | Shear stain |
= | Shear stain rate [/s] | |
ηc | = | Chip flow angle [°] |
ηsh | = | Shearing direction angle [°] |
λs | = | Edge inclination angle [°] |
ρ | = | Work material's density [Kg/m3] |
τsh | = | Shear stress [N/mm²] |