Towards the convergence of 3D and shell finite elements?
We present an approach for formulating efficient “3D-shell elements”, which are shell finite elements that feature the same external characteristics (geometry, shape functions) as standard 3D isoparametric elements. This makes the coupling with elements sharing the same outer surfaces straightforward. In addition, these 3D-shell elements can be used with a 3D variational formulation without modifying the constitutive equation, and they are much better adapted to large strain analysis than classical shell elements.
KeywordsShape Function Shell Model Shell Element Finite Element Solution Finite Element Procedure
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- Bathe, K.-J. (1996): Finite element procedures. Prentice Hall, Englewood Cliffs, NJGoogle Scholar
- Chapelle, D. (2001): Some new results and current challenges in the finite element analysis of shells. In: Iserles, A. (ed.): Acta Numerica 2001. Vol. 10. Cambridge University Press, Cambridge, pp. 215–250Google Scholar
- Chapelle, D., Bathe, K.-J. (2003): The finite element analysis of shells. Fundamentals. Springer, Berlin, in pressGoogle Scholar
- Chapelle, D., Ferent, A., Bathe, K.-J.: 3D-shell finite elements and their underlying model, in preparationGoogle Scholar
- Chapelle, D., Ferent, A., Le Tallec, R (2003): The treatment of pinching locking in 3D-shell elements. M2AN Math. Model. Numer. Anal, in pressGoogle Scholar
- Malinen, M.: On refined 2D shell models taking into account transverse deformations, to appearGoogle Scholar