Towards improving the MITC9 shell element

Computers and Structures

Volumn 81, Issue 8-11, 2003, Pages 477-489

  Bathe, Klaus Jürgen ^a   Lee, Phill Seung ^a   Hiller, Jean François ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CLAMPING DEVICES; FINITE ELEMENT METHOD; STRAIN; STRUCTURAL ANALYSIS;

TENSORIAL COMPONENTS;

SHELLS (STRUCTURES);

EID: 0037401779     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(02)00483-2     Document Type: Article

References (15)

1. Bathe K.J. Finite element procedures. 1996;Prentice Hall, New York.
2. Bathe KJ, editor. Computational fluid and solid mechanics. Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics. Amsterdam: Elsevier Science; 2001.
3. Chapelle D, Bathe KJ. The finite element analysis of shells - fundamentals. Berlin: Springer-Verlag, 2003.
4. Dvorkin E.N., Bathe K.J. A continuum mechanics based four-node shell element for general nonlinear analysis. Eng. Comput. 1:1984;77-88.
5. Bathe K.J., Dvorkin E.N. A 4-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation. Int. J. Numer. Meth. Eng. 21:1985;367-383.
6. Bathe K.J., Dvorkin E.N. A formulation of general shell elements - the use of mixed interpolation of tensorial components. Int. J. Numer. Meth. Eng. 22:1986;697-722.
7. Bucalem M., Bathe K.J. Higher-order MITC general shell elements. Int. J. Numer. Meth. Eng. 36:1993;3729-3754.
8. Chapelle D., Bathe K.J. Fundamental considerations for the finite element analysis of shell structures. Comput. Struct. 66(19-36):1998;711-712.
9. Lee P.S., Bathe K.J. On the asymptotic behavior of shell structures and the evaluation in finite element solutions. Comput. Struct. 80:2002;235-255.
10. Bathe KJ, Chapelle D, Lee PS. A shell problem 'highly sensitive' to thickness changes. Int J Numer Meth Eng, in press.
11. Bathe K.J., Iosilevich A., Chapelle D. An evaluation of the MITC shell elements. Comput. Struct. 75:2000;1-30.
12. Bathe K.J., Iosilevich A., Chapelle D. An inf-sup test for shell finite elements. Comput. Struct. 75:2000;439-456.
13. Hiller JF, Bathe KJ. Measuring convergence of mixed finite element discretizations: an application to shell structures. Comput Struct, in press.
14. Bathe K.J. The inf-sup condition and its evaluation for mixed finite element methods. Comput. Struct. 79:2001;243-252. 971.
15. Chapelle D., Bathe K.J. The mathematical shell model underlying general shell elements. Int. J. Numer. Meth. Eng. 48:2000;289-313.