Stress resultant geometrically exact form of classical shell model and vector-like parameterization of constrained finite rotations

International Journal for Numerical Methods in Engineering

Volumn 52, Issue 11, 2001, Pages 1235-1252

  Ibrahimbegovic, A ^a   Brank, B ^b   Courtois, P ^c  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

^c UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

Author keywords

Finite constrained rotation vector; Shell theory

Indexed keywords

PARAMETER ESTIMATION; ROTATION; STRESSES; VECTORS;

SMOOTH SHELLS;

NUMERICAL METHODS;

SHELL;

EID: 0035924146     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.247     Document Type: Article

References (30)

1. Stress resultant geometrically exact shell theory for finite rotations and its fe implementation
2. The theory of shells and plates
3. Genuinely resultant shell finite elements for geometric and material nonlinearity
4. An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation
5. On the choice of finite rotation parameters
6. Stress resultant geometrically nonlinear shell theory with drilling rotations-part ii: Computational aspects
7. An excursion into large rotations
8. A three-dimensional finite-strain model. Part ii: Computational aspects
9. Dynamics of flexible structures performing large overall motions: A geometrically exact nonlinear approach
10. Computational aspects of vector-like parameterization of three-dimensional finite rotations
11. Notes on nonlinear shell theory
12. Analysis of thick and thin shell structures by curved finite elements
13. Nonlinear finite element analysis of shells: Part i. Three-dimensional shells
14. A four-node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation
15. A formulation of general shell element-the use of mixed interpolation of tensorial components
16. Stress projection for membrane and shear locking in shell finite elements
17. Advances in one-point quadrature shell elements
18. Theory and numerics of thin elastic shells with finite rotations
19. Shell theory versus degeneration-a comparison in large rotation finite element analysis
20. On a stress resultants geometrically exact shell model. Part i: Formulation and optimal parameterization
21. On a stress resultants geometrically exact shell model. Part iii: The computational aspects of the nonlinear theory
22. On the parameterization of finite rotations in computational mechanics, a classification of concepts with application to smooth shells
23. The influence of the reference geometry on the response of elastic shells
24. On large deformations of thin elasto-plastic shells: Implementation of a finite rotation model for quadrilateral shell element
25. Consistent linearization in mechanics of solids and structures
26. On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells