Solving cylindrical shell problems with a non-standard finite element

Mathematics and Computers in Simulation

Volumn 50, Issue 1-4, 1999, Pages 153-164

  Della Croce, L ^a   Scapolla, T ^a  

^a UNIVERSITY OF PAVIA   (Italy)

Author keywords

Finite element; Numerical locking; Shell problems

Indexed keywords

EID: 0001293293     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0378-4754(99)00068-3     Document Type: Article

References (18)

1. D.N. Arnold, F. Brezzi, Locking free finite elements for shells, Math. Comput. 66(217) (1997) 1-14.
2. K.-J. Bathe, E. Dvorkin, A formulation of general shell elements - the use of mixed interpolation of tensorial components, Int. J. Numer. Methods Eng. 22 (1986) 697-722.
3. T. Belytschko, H. Stolarski, W.K. Liu, N. Carpenter, J.S.-J. Ong, Stress projection for membrane and shear locking in shell finite elements, Computer Methods Appl. Mech. Eng. 51 (1985) 221-258.
4. F. Brezzi, K.-J. Bathe, M. Fortin, Mixed-interpolated elements for Reissner-Mindlin plates, Int. J. Numer. Methods Eng. 28 (1990) 1787-1801.
5. L. Bucalem, K.-J. Bathe, High-order MITC general shell elements, Int. J. Numer. Methods Eng. 36 (1993) 3729-3754.
6. C. Chinosi, L. Della Croce, Mixed-interpolated elements for thin shells, Commun. Numer. Meths. Eng. 14 (1998) 1155-1170.
7. C. Chinosi, L. Della Croce, T. Scapolla, Hierarchic finite elements for thin Naghdi shell model, Int. J. Sol. Structr. 35 (1998) 1863-1880.
8. C. Chinosi, L. Della Croce, T. Scapolla, Numerical results on the locking for cylindrical shells, Comp. Assisted Mech. and Eng. Sci. 5 (1998) 31-44.
9. L. Della Croce, T. Scapolla, High order finite elements for thin to moderately thick plates, Computational Mech. 10 (1992) 263-279.
10. L. Della Croce, T. Scapolla, Hierarchic finite elements with selective and uniform reduced integration for Reissner-Mindlin plates, Computational Mech. 10 (1992) 121-131.
11. T. Della Croce, T. Scapolla, Hierarchic and mixed interpolated finite elements for Reissner-Mindlin problems, Commun. Numer. Meths. Eng. 11 (1995) 549-562.
12. Y. Leino, J. Pitkäranta, On the membrane locking of h-p finite elements in a cylindrical shell problem, Int. J. Numer. Methods Eng. 37 (1994) 1053-1070.
13. P.M. Naghdi, The theory of shells and plates, Handbuch der Phisik, VI, Springer, Berlin, 1972, pp. 425-640.
14. J. Pitkäranta, The problem of membrane locking in finite element analysis of cylindrical shells, Numer. Math. 61 (1992) 523-542.
15. A.C. Scordelis, K.S. Lo, Computer analysis in cylindrical shells, J. Am. Concr. Inst. 61 (1964) 561-593.
16. H. Stolarski, T. Belytschko, Reduced integration for shallow-shell facet elements, in: T.J.R. Hughes, D. Gartling, R.L. Spilker (Eds.), New Concepts in Finite Element Analysis, ASME, New York, 1981.
17. M. Suri, A reduced constraint hp finite element method for shell problems, Math. Comput. 66(217) (1997) 15-29.
18. H.D. Toit, P.L. George, P. Laug, P. Paté, D. Steer, M. Vidrascu, Introduction à MODULEF, Guide n.1, INRIA, Rocquencourt, France, 1991.