A comparison of rotation-free triangular shell elements for unstructured meshes

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 49-52, 2007, Pages 5001-5015

  Gärdsback, Mattias ^a   Tibert, Gunnar ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Constant curvatures; Rotation free; Shell element; Unstructured mesh

Indexed keywords

APPROXIMATION THEORY; BENDING (DEFORMATION); DEGREES OF FREEDOM (MECHANICS); MESH GENERATION; ROTATION;

CONSTANT CURVATURE; SHELL ELEMENT; UNSTRUCTURED MESH;

SHELLS (STRUCTURES);

APPROXIMATION THEORY; BENDING (DEFORMATION); DEGREES OF FREEDOM (MECHANICS); MESH GENERATION; ROTATION; SHELLS (STRUCTURES);

EID: 34548794751     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2007.06.017     Document Type: Article

References (31)

1. F.G. Flores, E. Oñate, K. Schweizerhof, Session on advances in rotation-free shell elements, in: 5th International Conference on Computation of Shell & Spatial Structures, Salzburg, Austria, 1-4 June, 2005.
2. Sabourin F., and Brunet M. Detailed formulation of the rotation-free triangular element "S3" for general purpose shell analysis. Engrg. Comput. 23 (2006) 469-502
3. Phaal R., and Calladine C.R. A simple class of finite elements for plate and shell problems II: An element for thin shells with only translational degrees of freedom. Int. J. Numer. Methods Engrg. 35 (1992) 979-996
4. 0 and convected frame notion. Comput. Mech. 27 (2001) 218-232
5. Flores F.G., and Oñate E. Improvements in the membrane behaviour of the three node rotation-free BST shell triangle using an assumed strain approach. Comput. Methods Appl. Mech. Engrg. 194 (2005) 907-932
6. Oñate E., and Cervera M. Derivation of thin plate bending elements with one degree of freedom per node: A simple three node triangle. Engrg. Comput. 10 (1993) 543-561
7. Brunet M., and Sabourin F. A simplified triangular shell element with a necking criterion for 3-D sheet-forming analysis. J. Mater. Process. Technol. 50 (1995) 238-251
8. Guo Y.Q., Gati W., Naceur H., and Batoz J.L. An efficient DKT rotation free shell element for springback simulation in sheet metal forming. Comput. Struct. 80 (2002) 2299-2312
9. M.R. Barnes, Form-finding and analysis of tension space structures by dynamic relaxation, Ph.D. thesis, Department of Civil Engineering, The City University, London, 1977.
10. A.S.L. Chan, G.A.O. Davies, A simplified finite element model for the impact of thin shells, in: P.S. Bulson (Ed.), Structures under Shock and Impact, Proc. 1st Int. Conf., Cambridge, MA, USA, 1989, pp. 365-380.
11. Hampshire J.K., Topping B.H.V., and Chan H.C. Three node triangular bending elements with one degree of freedom per node. Engrg. Comput. 9 (1992) 49-62
12. Phaal R., and Calladine C.R. A simple class of finite elements for plate and shell problems I: Elements for beams and thin flat plates. Int. J. Numer. Methods Engrg. 35 (1992) 955-977
13. Turner M.J., Clough R.W., Martin H.C., and Topp L.J. Stiffness and deflection analysis of complex structures. J. Aeronaut. Sci. 23 9 (1956) 805-823
14. Brunet M., and Sabourin F. Analysis of a rotation-free 4-node shell element. Int. J. Numer. Methods Engrg. 66 (2006) 1483-1510
15. Oñate E., and Zárate F. Rotation-free triangular plate and shell elements. Int. J. Numer. Methods Engrg. 47 (2000) 557-603
16. Flores F.G., and Oñate E. A basic thin shell triangle with only translational DOFs for large strain plasticity. Int. J. Numer. Methods Engrg. 51 (2001) 57-83
17. Flores F.G., and Oñate E. A rotation-free shell triangle for the analysis of kinked and branching shells. Int. J. Numer. Methods Engrg. 69 (2007) 1521-1551
18. Oñate E., and Flores F.G. Advances in the formulation of the rotation-free basic shell triangle. Comput. Methods Appl. Mech. Engrg. 194 (2005) 2406-2443
19. Sabourin F., and Brunet M. Analysis of plates and shells with a simplified three node triangular element. Thin-Walled Struct. 21 (1995) 209-223
20. J.M. Roelandt, J.L. Batoz, Shell finite element for deep drawing problems: computational aspects and results, in: IUTAM Symposium on Finite Inelastic Deformations, 1992, pp. 423-430.
21. Morley L.S.D. The constant-moment plate-bending element. J. Strain Anal. 6 (1971) 20-24
22. Cirak F., Ortiz M., and Schröder P. Subdivision surfaces: a new paradigm for thin shell finite-element analysis. Int. J. Numer. Methods Engrg. 47 (2000) 2039-2072
23. 1-conforming subdivision elements for finite deformation thin-shell analysis. Int. J. Numer. Methods Engrg. 51 (2001) 813-833
24. Hauptmann R., and Schweizerhof K. A systematic development of solid-shell element formulations for linear and non-linear analysis employing only displacement degrees of freedom. Int. J. Numer. Methods Engrg. 42 (1998) 49-69
25. P. Jetteur, Development of a new shell element for very thin shell structures, Tech. Rep., Samtech, Liege, Belgium, Report 236, 2002.
26. M. Gärdsback, G. Tibert, Evaluation of triangular shell elements for thin membrane structures, in: Proc. 5th International Conference on Computation of Shell & Spatial Structures, Salzburg, Austria, 1-4 June, 2005.
27. Flores F.G., and Oñate E. Rotation-free element for the non-linear analysis of beams and axisymmetric shells. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5297-5315
28. MacNeal R.H., and Harder R.L. A proposed standard set of problems to test finite element accuracy. Finite Elem. Anal. Des. 1 (1985) 3-22
29. Belytschko T., Stolarski H., Liu W.K., Carpenter N., and Ong J.S.J. Stress projection for membrane and shear locking in shell finite elements. Comput. Methods Appl. Mech. Engrg. 51 (1985) 221-258
30. Knight Jr. N.F. Raasch challenge for shell elements. AIAA J. 2 (1997) 375-381
31. Battini J.-M. A modified corotational framework for triangular shell elements. Comput. Methods Appl. Mech. Engrg. 196 (2007) 1905-1914