Can we calculate the rolling resistance coefficient theoretically?

[Souhardya Nandi]

I was wondering that if rolling resistance is basically caused by slight deformation of a body, we must have formulas in place to relate it to the physical and material properties of a body. But when I went ravaging for it in library or internet, everything was experimental. I wished to know from all fellow PFians if you have knowledge of any formula which can calculate the rolling resistance coefficient of a body from elasticity,radius,density, etc. without any experimentation whatsoever ?

 

[berkeman]

What's rolling friction? There is static friction (not slipping), dynamic friction (slipping), and rolling resistance (deformation of the rolling body as it moves)...

 

[Souhardya Nandi]

What's rolling friction? There is static friction (not slipping), dynamic friction (slipping), and rolling resistance (deformation of the rolling body as it moves)...

You misunderstood my question, sir. I am not asking what rolling friction is. I am asking if there is an existing formula to find the rolling friction coefficient of a body from its material properties without any form of experimentation. Do reply if you can.

 

[berkeman]

You misunderstood my question, sir. I am not asking what rolling friction is. I am asking if there is an existing formula to find the rolling friction coefficient of a body from its material properties without any form of experimentation. Do reply if you can.

I understood the question, but your terminology may have a problem. There is no such thing as rolling friction (except for bearing friction maybe). Do you mean that you want to understand if Rolling Resistance can be calculated?

http://www.josephjohansson.com/wp-content/uploads/2016/03/Physical-Causes.png

 

[Souhardya Nandi]

I understood the question, but your terminology may have a problem. There is no such thing as rolling friction (except for bearing friction maybe). Do you mean that you want to understand if Rolling Resistance can be calculated?

http://www.josephjohansson.com/wp-content/uploads/2016/03/Physical-Causes.png

View attachment 230973

Yes, I guess what I mean is rolling resistance
And I am assuming we calculate only the resistance from compression or deformation of surface.