Rotating disk with friction on the boundary

AI Thread Summary
The discussion centers on a 2D problem involving a rotating disk experiencing friction at its boundary. The user seeks an analytical formula for radial, tangential, and shear stress, noting that most literature addresses similar problems without friction or body load. They have attempted to use Airy's function but encountered issues with the results. Recommendations for specific resources or books that tackle friction in rotating disks are requested, with a mention of Shigley's machine design book as a potential source. The conversation highlights the need for more comprehensive material on this complex topic.
Fabiez
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Hi everybody!

I'm having some problem with the following system...

I have a 2D problem, a disk is rotating with constant velocity, but there is a friction on the boundary due to the contact between the disk and the surrounding material. I'd like to find the analytical formula of the radial, tangential and shear stress.

I've read many books but in each book the problem is solved without friction and without bodyload. If you have more specific books to suggest I'll be very happy!

I've tried to use the Airy's function method, but I'm not sure, also because the fomula that I've obtained yield to strange value.. can anyone suggest me how to solve such a problem?
 
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There may be something in Shigleys machine design book?
 

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