Analysis of a Frictional Contact Problem with Adhesion

AI Thread Summary
The discussion focuses on modeling a frictional contact problem with adhesion, specifically under the conditions where body forces and surface tractions are set to zero. The relevance of the Cauchy stress tensor is highlighted, suggesting that normal forces should be treated as pressure, while friction requires a comprehensive tensor approach. A continuity requirement on the stress tensor is emphasized, indicating that it must remain consistent across the interface of contacting bodies. Additionally, the importance of coupling the model with force laws relating stress to strain for the materials involved is noted. The conversation underscores the need for a solid understanding of both mathematical and physical principles in addressing such contact problems.
vw17
Messages
1
Reaction score
0
Hi,
I'd to work with a model which represents a contact problem. I want to suppose that f_0=0 and f_2=0 where f_0 is a density of body forces and f_2 is a density of surface tractions .
I am mathematician so I don't know if the hypothesis that I'd to suppose will make the problem have a sense in physics or no?
the problem is attached below (pdf).
Capture ph.PNG
 

Attachments

Last edited by a moderator:
Physics news on Phys.org
"Density of body forces" sounds like something which would be captured by the Cauchy stress tensor. If it were just a normal force between surfaces, you could call it "pressure". But with friction, I think you want the whole tensor.

It's a bit above my level of education, but I think that you will find that given a no-slip condition that there is a continuity requirement on the stress tensor -- it has to be the same inside the body as outside.

I'd expect you to next couple this with force laws (stress versus strain) for the various material objects involved.
 
The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
Thread 'Beam on an inclined plane'
Hello! I have a question regarding a beam on an inclined plane. I was considering a beam resting on two supports attached to an inclined plane. I was almost sure that the lower support must be more loaded. My imagination about this problem is shown in the picture below. Here is how I wrote the condition of equilibrium forces: $$ \begin{cases} F_{g\parallel}=F_{t1}+F_{t2}, \\ F_{g\perp}=F_{r1}+F_{r2} \end{cases}. $$ On the other hand...
Back
Top