I would like to know if there is a way to calculate the temperature rise and hence the wear rate of two bodies in sliding contact theoretically?
The data I have are contact pressure, sliding surface are, sliding velocity, and details about the material in contact.
Hello,
I know this simple formula to calculate the flash temperature within a sliding contact between two parts (it comes from Friction, wear and lubrication of materials, Rabinowicz) :
delta_T=(7800*mu*Wab*v)/(J*(k1+k2))
delta_T = rise in temperature
mu = coefficient of friction
Wab = surface energy of adhesion
v = sliding speed
J = mechanical equivalent of heat
k1, k2 = heat conductivity of the two materials
Hope it helps
rémi
You may consider the Prandtl-Tomlinson model, reviewed by Popov and Gray in the paper whose link I attach below. For a comparative study, I refer you to the paper by Fusco and Fasolino, whose link I also attach below.
http://onlinelibrary.wiley.com/doi/10.1002/zamm.201200097/abstract
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.71.045413
... the one-dimensional differential equation for the material temperature has a boundary condition, where the friction power (forces times velocity) is used. Integration of the differential equations leads to the desired information.
Best regards
Ch. Oertel
To explain Christian's answer with a simple example:
Basic assumptions:
Cutting force is responsible for removal of the base material
Normal force is responsible for friction and is converted into heat
Constant normal force in cutting direction
Energy = Normal force x sliding distance
No losses taken into consideration (worst case)
Example (cutting steel):
• 90m cut (60s at 1.5 m/s); Fn = 400N; heat capacity of steel = 0.5 kJ/(kg.K)
• W = 90 x 400 = 36 kJ and P = 36000 / 60 = 600W
ΔT = 36/(0,5 x mass) à energy is sufficient to heat up 1 kg of steel by 72°C
Hello,
I know this simple formula to calculate the flash temperature within a sliding contact between two parts (it comes from Friction, wear and lubrication of materials, Rabinowicz) :
delta_T=(7800*mu*Wab*v)/(J*(k1+k2))
delta_T = rise in temperature
mu = coefficient of friction
Wab = surface energy of adhesion
v = sliding speed
J = mechanical equivalent of heat
k1, k2 = heat conductivity of the two materials
Hope it helps
rémi
@remi thanwerdas: what is that factor 7800. If that is a unit conversion factor, in what units other parameters are to be substituted?
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