I could be way off here - but I believe that this can be done a little bit more consistently using Hermite shape functions.
A quick google search showed me this: http://www.mathworks.com/matlabcentral/fileexchange/15676-hermite-main-interpolation-functions-for-two-dimensional-surface-update24-07-07/content/html/Hermiten.html http://www-g.eng.cam.ac.uk/csml/teaching/4d9/4D9_handout3.pdf Although this looks interesting: http://onlinelibrary.wiley.com/store/10.1002/cnm.703/asset/703_ftp.pdf?v=1&t=hjuidl2e&s=1e5ec71b181ec851fd2801a6a8e24c0b9d6182d3 Google scholar turns up even more when searching for "hermite shape functions plate" I'm pretty interested in this idea right now... I'd really like to know if someone could do 2D plate with hermite shape functions using the "normal" FE assembly in libMesh. I have some applications where we could use that... Derek On Thu, Aug 1, 2013 at 2:35 PM, Manav Bhatia <[email protected]> wrote: > Hi, > > I am now revisiting some work concerning plate bending where the 2D > planar elements can exist in 3D space. This typically requires gradients of > solution variables in the plane of the element, which is then mapped to the > global coordinate space. > > In the past, I have created a local xyz-coordinate system for each > element, and then created a new element for computations that lies in an > xy-plane. Then, the matrices and vectors are transformed to the global > xyz-coordinate before assembly. > > I am curious if there is are any procedures within libMesh to account > for such cases of 2D planar elements in 3D spaces. Ofcourse, the procedure > I define above would not apply to curved elements and a more refined method > using tensors would perhaps be needed. > > I would appreciate any inputs. > > Thanks, > Manav > > > > ------------------------------------------------------------------------------ > Get your SQL database under version control now! > Version control is standard for application code, but databases havent > caught up. So what steps can you take to put your SQL databases under > version control? Why should you start doing it? Read more to find out. > http://pubads.g.doubleclick.net/gampad/clk?id=49501711&iu=/4140/ostg.clktrk > _______________________________________________ > Libmesh-users mailing list > [email protected] > https://lists.sourceforge.net/lists/listinfo/libmesh-users > ------------------------------------------------------------------------------ Get your SQL database under version control now! Version control is standard for application code, but databases havent caught up. So what steps can you take to put your SQL databases under version control? Why should you start doing it? Read more to find out. http://pubads.g.doubleclick.net/gampad/clk?id=49501711&iu=/4140/ostg.clktrk _______________________________________________ Libmesh-users mailing list [email protected] https://lists.sourceforge.net/lists/listinfo/libmesh-users
