Quasi-static stress analysis
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Mohammed Hassan
Dec 12, 2019, 7:19:14 AM12/12/19
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Dear Dealii Users,
I would like to analyze the stresses of a railway with a wheel, where the wheel will be treated as a moving part. is it possible to do it using Dealii ? Could you suggest a start point (tutorial ) for me ?
Regards
Wolfgang Bangerth
Dec 12, 2019, 12:53:52 PM12/12/19
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On 12/12/19 5:19 AM, Mohammed Hassan wrote:
>
> I would like to analyze the stresses of a railway with a wheel, where
> the wheel will be treated as a moving part. is it possible to do it
> using Dealii ? Could you suggest a start point (tutorial ) for me ?
Yes, but there are many possible mathematical formulations of this
>
> I would like to analyze the stresses of a railway with a wheel, where
> the wheel will be treated as a moving part. is it possible to do it
> using Dealii ? Could you suggest a start point (tutorial ) for me ?
problem. For example, you have to think about which of the objects
(wheel, rail) you consider deformible, whether you want to assume the
contact area of make the exact area of contact a part of the description
of the problem, what kind of material behavior you assume (linear
elastic, nonlinear elastic, ...). The first step will have to be that
you come up with a complete mathematical model. Once you have that, you
can think about what tutorial programs can help you solve these equations.
Best
W.
--
------------------------------------------------------------------------
Wolfgang Bangerth email: bang...@colostate.edu
www: http://www.math.colostate.edu/~bangerth/
Mohammed Hassan
Dec 13, 2019, 11:56:18 AM12/13/19
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Dear Prof. Bangerth,
Yes all of these formulation I have set it to the simplest possible one, as for the deformable I considered the wheel as the part goes under deformation where for the contact area is is exactly the same as the wheel thickness which is also match the width of the railway.and the stresses are following the linear elastic scheme. (an illustrative picture attached)
Regards,
Wolfgang Bangerth
Dec 13, 2019, 5:58:03 PM12/13/19
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On 12/13/19 9:56 AM, Mohammed Hassan wrote:
> Dear Prof. Bangerth,
so you are saying that the rail and the wheel touch only along a
one-dimensional line, rather than a two-dimensional area? In that case,
the contact is pretty simple because the contact area does not actually
depend on the solution. You could probably just do that using step-8,
for example (also looking at step-18). But that's of course not
particularly realistic -- the real contact area does depend on the force
in question, as well as dynamic effects due to rolling.
> Dear Prof. Bangerth,
>
> wheel-rail.png
>
> Yes all of these formulation I have set it to the simplest possible one,
> as for the deformable I considered the wheel as the part goes under
> deformation where for the contact area is is exactly the same as the
> wheel thickness which is also match the width of the railway.and the
> stresses are following the linear elastic scheme. (an illustrative
> picture attached)
Mohammed,
> wheel-rail.png
>
> Yes all of these formulation I have set it to the simplest possible one,
> as for the deformable I considered the wheel as the part goes under
> deformation where for the contact area is is exactly the same as the
> wheel thickness which is also match the width of the railway.and the
> stresses are following the linear elastic scheme. (an illustrative
> picture attached)
so you are saying that the rail and the wheel touch only along a
one-dimensional line, rather than a two-dimensional area? In that case,
the contact is pretty simple because the contact area does not actually
depend on the solution. You could probably just do that using step-8,
for example (also looking at step-18). But that's of course not
particularly realistic -- the real contact area does depend on the force
in question, as well as dynamic effects due to rolling.
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