Hi

I’ve hesitated to add this link as it predates many of the features in deal.II 
that would have made the implementation a lot more elegant and simple. 
Nevertheless have a look at https://open.uct.ac.za/handle/11427/5552 
<https://open.uct.ac.za/handle/11427/5552> It’s a fully nonlinear shell theory 
due to Simo & Fox implemented in deal.II. 

There is no reason why you can’t implement Mindlin-Reissner  plate theory in 
deal.II. I would start with Timoshenko beam theory and then build up to plates. 

A



> On 26 Mar 2018, at 14:40, Wolfgang Bangerth <bange...@colostate.edu> wrote:
> 
> On 03/25/2018 11:44 AM, Yuxiang Wang wrote:
>> My current need for shell element is for solid mechanics problem 
>> (Mindlin-Reissner plates). A simple example could be that a thick square 
>> plate, with all its edges fixed, under a force loading at the center. The 
>> dimensions of the plate are around 10x of its thickness; so, as one can 
>> note, there is 1) only in-plate stress in this problem, 2) the plate 
>> thickness remains constant during the deformation, and 3) there is an 
>> approximately linear variation of displacement across the thickness 
>> direction.
>> Do you happen to be aware of any examples in deal.ii, that solves shell 
>> problems for solid mechanics application? If not, I can also try to start 
>> from scratch; but I figured it'd be nice that if I know someone who did this 
>> already and wouldn't need to reinvent the wheels.
> 
> I don't know of any that would be publicly available. I know that Baerbel 
> Janssen's diploma thesis was on biharmonic problems (or at least had them as 
> part). You can get it from here but it is in German:
>  http://www.csc.kth.se/~barbel/link/en/publications.shtml
> 
> I am certain that others have done similar work, but I don't know the 
> details. Of course, we are always grateful to anyone willing to share their 
> codes through the code gallery!
> 
> Best
> Wolfgang
> 
> -- 
> ------------------------------------------------------------------------
> Wolfgang Bangerth          email:                 bange...@colostate.edu
>                           www: http://www.math.colostate.edu/~bangerth/
> 
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