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C1 element
Mon, 2007-02-19 09:32 - Karma Yonten
Hi,
Can anyone refer me to some papers that discuss plane-strain elements (quadrilateral in particular) with C1 or higher order shape functions ? The only paper I was able to find was that of Dasgupta and Sengupta, 1990 where the details of the higher-order triangular element is given. Some papers mention such elements without providing the details such as the shape functions, integration points info, etc.
Thanks.
Karma
Forums:
You may find it from the book of FEM.
The FEM book will tell you what you want to know. Check it please.
Good luck!
C1 references
Here are a few references on C1 elements; however, most are for triangles in plate bending (Clough-Tocher, Powell-Sabin elements). Possibly some of them provide references for quadrilaterals too. Strang and Fix discuss tensor product C1 Hermites for rectangular elements; one of the references in the PDF is on spline finite elements, which might be pertinent.
isoparametric C1 Hermite elements
There is also the following paper on isoparametric Hermite elements (for quadrilaterals). The one warning is that many common mesh constructions are ruled out.
J. Petera, J.F.T. Pittman, Isoparametric hermite elements, Int. J. Numer. Meth. Eng. 37 (1994) 3489–3519.
Thanks
Thanks everyone for your help.
I've done some lit. research myself and found a few good papers. I haven't found any C1 elements for 3D problems though.