Hi Professor Bangerth, Thank you for the pointer! Those are very helpful. I just realized that Mindlin-Reissner plate theory can be expressed in forms of mixed elements.
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. Thank you! Shawn On Tuesday, March 6, 2018 at 3:50:53 PM UTC-8, Wolfgang Bangerth wrote: > > > > I am excited to learn that there are arguably better methods (mixed > methods) > > to solve shell problems. I am not familiar with those; could you please > kindly > > provide some pointers for me to start (anything, either example, code, > or paper)? > > That all depends on what equation exactly you're looking at solving. For > the > biharmonic equation, you could for example start looking here: > > > https://scholar.google.co.jp/scholar?hl=en&as_sdt=0%2C5&q=mixed+methods+biharmonic+equation&btnG= > > > https://scholar.google.co.jp/scholar?hl=en&as_sdt=0%2C5&q=discontinuous+galerkin+biharmonic+equation&btnG= > > > Beyond that, you'd have to be more specific about what you want to do. > > Best > W. > > -- > ------------------------------------------------------------------------ > Wolfgang Bangerth email: [email protected] > <javascript:> > www: http://www.math.colostate.edu/~bangerth/ > > -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. For more options, visit https://groups.google.com/d/optout.
