How do I degenerate a triangular finite element from a quadrilateral one?

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Justin Murin

Dear Djamel,

Exuse me, I have not dealt with this problem particularly. Maybe one way is a division of the quadriteral finite element to two triangular ones with bilinear shape functions.

Djamel Boutagouga

Dear Justin.

Tank you.

There is a method of degenerating a triangular element from a quadrilateral element by collapsing nodes. In this method the shape functions are modified by introducing the constraint of displacement is the same in collapsed nodes. My problem is I don't know if the obtained triangular element having (3/6) shape function or (4/8) shape functions as the original quadrilateral has. Moreover I can't see how to do the numerical implementation.

Anshul Faye

Please look at Sec. 5.8 (Pg. 153) of this book if you can get it

https://books.google.co.in/books?id=YocoaH8lnx8C&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q=degenerate&f=false