The Cosserat surface as a shell model, theory and finite-element formulation

Computer Methods in Applied Mechanics and Engineering

Volumn 120, Issue 1-2, 1995, Pages 1-32

  Sansour, Carlo ^a   Bednarczyk, Herbert ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; STRAIN; TENSORS; THREE DIMENSIONAL; VARIATIONAL TECHNIQUES;

COSSERAT CONTINUUM; COSSERAT DEFORMATION TENSORS; EUCLIDEAN METRIC; FINITE ELEMENT FORMULATION; INPLANE ROTATIONS; KILLING METRIC; NONLINEAR SHELL THEORY; SHELL MODEL; TWO DIMENSIONAL;

CONTINUUM MECHANICS;

EID: 0029221956     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7825(94)00054-Q     Document Type: Article

References (42)

1. An excursion into large rotations
2. The SHEBA family of shell elements for the matrix displacement method
3. The SHEBA family of shell elements for the matrix displacement method
4. On vector description of arbitrary deformation of shells
5. Genuinely resultant shell finite elements accounting for geometric and material nonlinearity
6. Nonlinear theory of elastic directed surfaces
7. Exact theory of stress and strain in rods and shells
8. Polar field theories
9. A drill notation formulation for geometrically exact shells
10. A general theory of a Cosserat surface
11. Multipolar continuum mechanics
12. Analoge Systeme von Schalengleichungen
13. Derivation of geometrically nonlinear finite shell elements via tensor notation
14. Non-linear micropolar theory
15. On drilling degrees of freedom
16. Nonlinear elastic shell theory
17. Buckling equations for elastic shells with rotational degrees of freedom undergoing finite strain deformation
18. The theory of shells
19. Rational approach for assumed stress finite elements
20. Finite rotations in the description of continuum deformation
21. Strategies for tracing the nonlinear response near limit points
22. Rotations as primary unknowns in the nonlinear theory of shells and corresponding finite element models
23. Linear and nonlinear theory of shells
24. A note on two-dimensional finite-deformation theories of shells
25. Verzerrungsmaβe einer Schalentheorie mit expliziter Einbeziehung endlicher Rotationen
26. Shells at finite rotations with drilling degrees of freedom, theory and finite element formulation
27. An exact finite rotation shell theory, its mixed variational formulation, and its finite element implementation
28. The (symmetric) hessian for geometrically nonlinear models in solid mechanics: Intrinsic definition and geometric interpretation
29. On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization
30. On a stress rsultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory
31. A three-dimensional finite-strain rod model. Part II: Geometric and computational aspects
32. On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
33. Theory of invariants
34. Theories of elasticity with couple-stress
35. surfaces
36. Mechanics of deformable directed surfaces