Inf-sup test for shell finite elements

Computers and Structures

Volumn 75, Issue 5, 2000, Pages 439-456

  Bathe, Klaus Jürgen ^a   Iosilevich, Alexander ^a   Chapelle, Dominique ^b  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b INRIA ROCQUENCOURT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; CONTINUUM MECHANICS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; GEOMETRY; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; SHELLS (STRUCTURES); STRAIN;

FINITE ELEMENT DISCRETIZATION; INF-SUP CONDITIONS;

FINITE ELEMENT METHOD;

EID: 0033884525     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(99)00213-8     Document Type: Article

References (15)

1. Bathe K.J. Finite element procedures. 1996;Prentice-Hall, Englewood Cliffs, NJ.
2. Brezzi F., Fortin M. Mixed and hybrid finite element methods. 1991;Springer-Verlag, Berlin.
3. Chapelle D., Bathe K.J. The inf-sup test. Computers and Structures. 47:1993;537-545.
4. Iosilevich A., Bathe K.J., Brezzi F. On evaluating the inf-sup condition for plate bending elements. Int. J. Num. Meth. Eng. 40:1997;3639-3663.
5. Iosilevich A., Bathe K.J., Brezzi F. Numerical inf-sup analysis of MITC plate bending elements. Proc. of the American Math. Society, Symposium on Plates and Shells. Université Laval :1996.
6. Dvorkin E.N., Bathe K.J. A continuum mechanics based four-node shell element for general nonlinear analysis. Eng. Comput. 1:1984;77-88.
7. Bucalem M.L., Bathe K.J. Higher-order MITC general shell elements. Int. J. Num. Meth. Eng. 36:1993;3729-3754.
8. Chapelle D., Bathe K.J. On general shell finite elements and mathematical shell models. Topping B.H.V. Advances in finite element procedures and techniques. 1998;25-30 Civil-Comp Press, Edinburgh, Scotland.
9. Naghdi P.M. Foundations of elastic shell theory. Progress in solid mechanics. vol. 4:1963;1-90 North-Holland, Amsterdam.
10. Chapelle D., Bathe K.J. Fundamental considerations for the finite element analysis of shell structures. Computers and Structures. 66:1998;19-36.
11. Bathe KJ, Iosilevich A, Chapelle D. An evaluation of the MITC shell elements. Computers and Structures, in press.
12. Brezzi F., Bathe K.J. A discourse on the stability conditions for mixed finite element formulations. Comp. Meth. Appl. Mech. Eng. 82:1990;27-57.
13. Arnold D.N., Brezzi F. Locking-free finite element methods for shells. Math. Comp. 66:1997;1-14.
14. Bucalem M.L., da Nobrega S.H.S. A mixed formulation for general triangular isoparametric shell elements based on the degenerated solid approach. Topping B.H.V. Advances in finite element procedures and techniques. 1998;53-62 Civil-Comp Press, Edinburgh, Scotland.
15. Chapelle D., Stenberg R. Stabilized finite element formulations for shells in a bending dominated state. SIAM J. Num. Anal. 36:(1):1998;32-73.