Nonlinear shell models with seven kinematic parameters

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 21-24 SPEC. ISS., 2005, Pages 2336-2362

  Brank, Boštjan ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

7 parameter shell model; Higher order shell formulation; Thick shell

Indexed keywords

FINITE ELEMENT METHOD; INTERPOLATION; KINEMATICS; MATHEMATICAL MODELS; STRETCHING; STRUCTURAL DESIGN;

KINEMATIC PARAMETERS; STRETCHING PARAMETERS;

SHELLS (STRUCTURES);

KINEMATICS; MODELING; SHELL;

EID: 16244422330     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.036     Document Type: Article

References (23)

1. Y. Başar Y. Ding Shear deformation models for large-strain shell analysis Int. J. Solids Struct. 34 1997 1687-1708
2. Y. Başar M. Itskov A. Eckstein Composite laminates: Nonlinear interlaminar stress analysis by multi-layer shell elements Comput. Methods Appl. Mech. Engrg. 185 2000 367-397
3. K.J. Bathe E. Dvorkin A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation Int. J. Numer. Methods Engng. 21 1985 367-383
4. P. Betsch E. Stein An assumed strain approach avoiding artificial thickness straining for a non-linear 4-node shell element Commun. Numer. Methods Engng. 11 1995 899-909
5. P. Betsch F. Gruttmann E. Stein A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains Comput. Methods Appl. Mech. Engrg. 130 1996 57-79
6. M. Bischoff E. Ramm Shear deformable shell elements for large strains and rotations Int. J. Numer. Methods Engng. 40 1997 4427-4449
7. M. Bischoff E. Ramm On the physical significance of higher order kinematic and static variables in a three-dimensional shell formulation Int. J. Solids Struct. 37 2000 6933-6960
8. B. Brank D. Perić F.B. Damjanić On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells Comput. Mech. 16 1995 341-359
9. B. Brank D. Perić F.B. Damjanić On large deformations of thin elasto-plastic shells: Implementation of a finite rotation model for quadrilateral shell element Int. J. Numer. Methods Engng. 40 1997 689-726
10. B. Brank A. Ibrahimbegović On the relation between different parametrizations of finite rotations for shells Engng. Comput. 18 2001 950-973
11. B. Brank J. Korelc A. Ibrahimbegović Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation Comp. Struct. 80 2002 699-717
12. M. Braun M. Bischoff E. Ramm Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates Comput. Mech. 15 1994 1-18
13. N. Büchter E. Ramm Shell theory versus degeneration - a comparison in large rotation finite element analysis Int. J. Numer. Methods Engng. 34 1992 39-59
14. N. Büchter E. Ramm D. Roehl Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept Int. J. Numer. Methods Engng. 37 1994 2551-2568
15. D. Chapelle A. Ferent Reliability considerations for 3D-shell elements in: K.J. Bathe (Ed.) Computational Fluid and Solid Mechanics 2003 Vol. I 2003 Elsevier Amsterdam 181-184
16. N. El-Abbasi S.A. Meguid A new shell element accounting for through-thickness deformation Comput. Methods Appl. Mech. Engrg. 189 2000 841-862
17. A. Ibrahimbegović On assumed shear strain in finite rotation shell analysis Engng. Comput. 12 1995 425-438
18. A. Ibrahimbegović B. Brank P. Courtois Stress resultant geometrically exact form of classical shell model and vector-like parametrization of constrained finite rotations Int. J. Numer. Methods Engng. 52 2001 1235-1252
19. J. Korelc Automatic generation of finite element code by simultaneous optimization of expressions Theoret. Comput. Sci. 187 1997 231-248
20. J. Korelc, Automatic generation of numerical codes with introduction to AceGen 4.0 symbolic code generator, Faculty of Civil and Geodetic Engineering, University of Ljubljana, 2003. Available from:
21. C. Sansour A theory and finite element formulation of shells at finite deformations involving thickness change: Circumventing the use of a rotation tensor Arch. Appl. Mech. 65 1995 194-216
22. J.C. Simo D.D. Fox M.S. Rifai On a stress resultant geometrically exact shell model. Part II: The linear theory; Computational aspects Comput. Methods Appl. Mech. Engrg. 73 1989 53-92
23. J.C. Simo M.S. Rifai D.D. Fox On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory Comput. Methods Appl. Mech. Engrg. 79 1990 21-70