[vtk-developers] Pentagonal prism bug resolved!

[Berk Geveci]

Finite element analysis with punch cards. That's hard core!

-berk

On Mon, Jun 15, 2015 at 2:27 PM, Bill Lorensen <bill.lorensen at gmail.com>
wrote:

> Brings back memories of my finite element days, 1968-1978, at
> Watervliet Arsenal. At that time we worked with NASTRAN and we added a
> few elements for crack tip analysis....
>
>
> Pu, S. L., M. A. Hussain, and W. E. Lorensen, The Collapsed Cubic
> Isoparametric Element as a Singular Element for Crack Problems,
> International Journal for Numerical Methods in Engineering, vol. 12,
> no. 11, pp. 1727-1742, 1978.
>
> Hussain, M. A. and W. E. Lorensen, Isoparametric Elements as Singular
> Elements for Crack Problems, AR-LCB-TR-77041, Benet Weapons
> Laboratory, Watervliet, NY, November 1977.
>
> Hussain, M. A.; Pu, S. L.; Lorensen, W. E., Singular Plastic Element:
> NASTRAN Implementation and Application, Sixth NASTRAN Users' Colloq.,
> pp. 257-274, October, 1977, (NASA CP-2018).
>
> Pu, S. L., M. A. Hussain, and W. E. Lorensen, Collapsed 12-Node
> Triangular Elements as Crack Tip Elements for Elastic Fracture,
> ARLCB-TR-77047, Watervliet Arsenal, Watervliet, NY, December 1977.
>
> Lorensen, W. E. and M. A. Hussain, "The Stability of Isoparametric
> Elements as a Singular Element for Crack Problems," in Developments in
> Mechanics, ed. T. C. T. Ting, 1977.
>
> Pu, S. L., M. A. Hussain, and W. E. Lorensen, The Collapsed Cubic
> Isoparametric Element as a Singular Element for Crack Problems,
> AR-LCB-TR77047, Watervliet Arsenal, 1977.
>
> Hussain, M. A., W. E. Lorensen, and G. Pflegl, The Quarter-Point
> Quadratic Isoparametric Element as A Singular Element for Crack
> Problems, TM-X-3428, p. 419, NASA, 1976.
>
>
> On Mon, Jun 15, 2015 at 2:17 PM, Berk Geveci <berk.geveci at kitware.com>
> wrote:
> > You rock Bill.
> >
> > On Mon, Jun 15, 2015 at 1:31 PM, Bill Lorensen <bill.lorensen at gmail.com>
> > wrote:
> >>
> >> Folks,
> >>
> >> I reported recently of issues with the shape functions and derivatives
> >> for the pentagonal prism. Since I could not find any references for
> >> the current implementation I used the formulation in this paper:
> >> http://dilbert.engr.ucdavis.edu/~suku/nem/papers/polyelas.pdf
> >> Since this paper did not have the shape function derivatives, I used
> >> SymPy ( http://www.sympy.org/en/index.html ) to compute the
> >> derivatives.
> >>
> >> I'm happy to report that the new formulation does a great job and
> >> passes the new unit test I created for cells.
> >>
> >> I have not submitted a patch yet since I want the code to document the
> >> process. I wrote c++ code and SymPy code to generate the statements
> >> for the new formulation.
> >>
> >> I wanted to give a heads up in case someone else is looking into this.
> >>
> >> Bill
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> >
>
>
>
> --
> Unpaid intern in BillsBasement at noware dot com
>
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