I am modeling the Kirchhoff plate through FEM. I have already used the Q4 element.
However, I want to use the Q8 element. Is this possible? If yes, how many items should be in the approximate polynomial to derive the shape functions according to Pascal triangle?
Utilizing an 8-noded serendipity element is suitable for representing the Kirchhoff Plate. The process involves determining eight shape functions corresponding to each of the eight nodes in the plate element. To accomplish this, the displacement polynomial function should be chosen, which consists of eight constants.
For a more detailed understanding, please consult Chapter 5 of "Finite Element Analysis" by SS Bhavikatti.
Danish Fayaz
Many thanks for your response.
I do not think it is that easy, as for Kirchhoff plate there are three unknowns at every node ( transverse disp., and two rotations). The two rotations are the differentiation of the transverse displacement itself.
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