A shell problem 'highly sensitive' to thickness changes

International Journal for Numerical Methods in Engineering

Volumn 57, Issue 8, 2003, Pages 1039-1052

  Bathe, Klaus Jürgen ^a   Chapelle, Dominique ^b   Lee, Phill Seung ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b INRIA ROCQUENCOURT   (France)

Author keywords

Asymptotic analysis; Finite element solution; Shells

Indexed keywords

ASYMPTOTIC STABILITY; BENDING (DEFORMATION); CONVERGENCE OF NUMERICAL METHODS; ENERGY STORAGE; FINITE ELEMENT METHOD; LOADS (FORCES); MEMBRANES; STRUCTURAL ANALYSIS; THIN WALLED STRUCTURES;

LOAD-SCALING FACTOR;

SHELLS (STRUCTURES);

FINITE ELEMENT METHOD;

EID: 0037698493     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.708     Document Type: Article

References (16)

1. Flügge W. Stresses in Shells (2nd edn). Springer: Berlin, 1973.
2. Farshad M. Design and Analysis of Shell Structures. Kluwer Academic Publishers: Dordrecht, 1992.
3. Pitkäranta J, Leino Y, Ovaskainen O, Piila J. Shell deformation states and the finite element method: a benchmark study of cylindrical shells. Computer Methods in Applied Mechanics and Engineering 1995; 128:81-121.
4. Sanchez-Hubert J, Sanchez-Palencia E. Coques Élastiques Minces-Propriétés Asymptotiques. Masson: Paris, 1997.
5. Sanchez-Palencia E. General properties of thin shell solutions, propagation of singularities and their numerical incidence. In Computational Fluid and Solid Mechanics, Bathe KJ (ed.). Elsevier: Amsterdam, 2001; 454-455.
6. Baiocchi C, Lovadina C. A shell classification by interpolation. Mathematical Models and Methods in Applied Sciences 2002; 12(10):1359-1380.
7. Auricchio F, Beir da Veiga L, Lovadina C. Remarks on the asymptotic behaviour of Koiter shells. Computers and Structures 2002; 80:735-745.
8. Chapelle D, Bathe KJ. The Finite Element Analysis of Shells Fundamentals. Springer: Berlin, 2003.
9. Lee PS, Bathe KJ. On the asymptotic behaviour of shell structures and the evaluation in finite element solutions. Computers and Structures 2002; 80:235-255.
10. Chapelle D, Bathe KJ. Fundamental considerations for the finite element analysis of shell structures. Computers and Structures 1998; 66:19-36, 711-712.
11. Pitkäranta J, Sanchez-Palencia E. On the asymptotic behaviour of sensitive shells with small thickness. Comptes Rendus de l' Academie des Sciences Paris, Série II 1997; 325:127-134.
12. Bathe KJ. Finite Element Procedures. Prentice-Hall: Englewood Cliffs, NJ, 1996.
13. Chapelle D, Bathe KJ. The mathematical shell model underlying general shell elements. International Journal for Numerical Methods in Engineering 2000; 48:289-313.
14. Steele CR. Asymptotic analysis and computation for shells. In Analytical and Computational Models of Shells, CED-vol. 3, Noor AK, Belytschko T, Simo JC (eds). ASME: New York, 1989.
15. Bathe KJ, losilevich A, Chapelle D. An evaluation of the MITC shell elements. Computers and Structures 2000; 75:1-30.
16. Bathe KJ. The inf-sup condition and its numerical evaluation for mixed finite element methods. Computers and Structures 2001; 79:243-252, 971.