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Mongi Mansouri (mongim_pde)
Member
Username: mongim_pde

Post Number: 40
Registered: 11-2003
Posted on Thursday, August 11, 2005 - 06:19 pm:   

Hi Group,
I wonder if it is possible in FlexPDE to apply a load to one part say part1, with part1 interfacing another part part2 over some common boundary S. How do u model this task using elasticity equations to determine the deformation and stresses particularly at the interface. has anyone encountered this type of BC? This is is a contact problem as I see it. I realize there is no provision yet for this type of problems in FlexPDE, but how can we overcome this limitation? Any suggestions? (I know more details are needed to make the question clearer, but I hope u get what i mean from this brief description... )

I would appreciate ur responses...
Thanks. /Mongi M.

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Tobias Schenk (flexinger)
New member
Username: flexinger

Post Number: 1
Registered: 12-2005
Posted on Friday, December 02, 2005 - 10:10 am:   

Dear Mongi,

sadly I have no idea so far but would be very much interested in solving contact problems in FlexPDE as well. Would you please let me know if there is any progress about that? Thanks!
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Mongi Mansouri (mongim_pde)
Member
Username: mongim_pde

Post Number: 41
Registered: 11-2003
Posted on Friday, December 02, 2005 - 10:45 am:   

Hi Tobias,
Unfortunately I have not received any feedback on this particular question from FPDE users or developpers. It appears that this problem is a highly non-linear constraint problem mostly algebraic, and may not be well posed in the form of a PDE + BCs (the standard form of a problem in FPDE.) I had attempted something long time ago but it was not successful so I gave up on it...

/Mongi M

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Robert G. Nelson (rgnelson)
Moderator
Username: rgnelson

Post Number: 502
Registered: 06-2003
Posted on Saturday, December 03, 2005 - 04:57 pm:   

I presume you mean the bodies are allowed to slip tangentially. Otherwise this would appear to be a straightforward two-material problem.

Or do you mean that the contact area is able to grow and shrink?
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Mongi Mansouri (mongim_pde)
Member
Username: mongim_pde

Post Number: 42
Registered: 11-2003
Posted on Wednesday, December 14, 2005 - 09:22 am:   

Hi Robert,
Sorry i didnt respond sooner to this. In the particular problems that I deal with, yes, there is sliding (one part moves while pressed against the other part) with friction. In the classic contact problem, we dont know the interface pressure or extent. But these depend on applied load and other parameters (the Hertz problem is a classical example with known theoretical solution, static no friction in this one) To pose the problem in FlexPDE, requires the elasticity equations, with some BCs on displacements, an applied load usually away from the interface where contact occurs, and some algebraic constarints at the interface that subscribe the contact pressure and extent. I can find my documentation on this and explain it better if needed. The general problem is not Hertzian, but essentially obeys the same rules (PDEs + BCs + Constrs) ...

I wonder if you have any thoughts on how to approach such a problem in FlexPDE.

Thank you.
/Mongi M.

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