Structural analysis of composite laminates using a mixed hybrid shell element

Computational Mechanics

Volumn 37, Issue 6, 2006, Pages 479-497

  Gruttmann, F ^a   Wagner, W ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Hu Washizu variational principle; Large load steps; Layered composite shell; Quadrilateral element; Reissner Mindlin shell theory; Shell intersections

Indexed keywords

BUCKLING; STIFFNESS; STRAIN; STRUCTURAL ANALYSIS;

HU-WASHIZU VARIATIONAL PRINCIPLE; LAYERED COMPOSITE SHELL; REISSNER-MINDLIN SHELL THEORY; SHELL INTERSECTIONS;

LAMINATES;

EID: 33644780655     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-005-0730-1     Document Type: Conference Paper

References (37)

1. Dorninger K, Rammerstorfer FG (1990) A Layered Composite Shell Element for Elastic and Thermoelastic Stress and Stability Analysis at Large Deformations. Int Numer Meth Eng 30:833-858
2. Koiter WT (1966) On the nonlinear theory of thin elastic shells. Proc Kon Ned Ak Wet B69:1-54
3. Ahmad S, Irons BM, Zienkiewicz OC (1970) Analysis of thick and thin shell structures by curved finite elements. Int J Numer Meth Eng 2:419-451
4. Stanley GM, Park KC, Hughes TJR (1986) Continuum-Based Resultant Shell Elements. In: Hughes TJR, Hinton E (eds) Finite Element Methods for Plate and Shell Structures 1: Element Technology. Pineridge Press Swansea UK
5. Zienkiewicz OC, Taylor RL, Too J (1971) Reduced integration techniques in general analysis of plates and shells. Int J Numer Meth Eng 3:275-290
6. Belytschko T, Tsay C-S (1983) A stabilization procedure for the quadrilateral plate element with one-point quadrature. Int J Numer Meth Eng 19:405-419
7. Liu WK, Law SE, Lam D, Belytschko T (1986) Resultant-stress degenerated shell element. Comp Meth Appl Mech Eng 55:261-300
8. Belytschko T, Leviathan I (1994) Physical stabilization of the 4-node shell element with one point quadrature. Comp Meth Appl Mech Eng 113:321-350
9. Simo JC, Rifai MS (1990) A class of mixed assumed strain methods and the method of incompatible modes. Int J Numer Meth Eng 29:1595-1638
10. Betsch P, Gruttmann F, Stein E (1996) A 4-node finite shell element for the implementation of general hyperelastic 3d-elasticity at finite strains. Comp Meth Appl Mech Eng 130:57-79
11. MacNeal RH (1978) A simple quadrilateral shell element. Comput & Struct 8:175-183
12. Hughes TJR, Tezduyar TE (1981) Finite elements based upon Mindlin plate theory, with particular reference to the 4-node bilinear isoparametric element. J Appl Mech 48:587-595
13. Dvorkin E, Bathe K.J (1984) A continuum mechanics based four node shell element for general nonlinear analysis. Eng Computat 1:77-88
14. Bathe K-J, Dvorkin E (1985) A 4-Node Plate bending element based on Mindlin/Reissner theory and a mixed interpolation. Int J Numer Meth Eng 21:367-383
15. Gruttmann F, Wagner W, Wriggers P (1992) A Nonlinear Quadrilateral Shell Element with Drilling Degrees of Freedom. Arch Appl Mech 62:474-486
16. Wagner W, Gruttmann, F (2005) A robust nonlinear mixed hybrid quadrilateral shell element. Int J Numer Meth Eng 64:635-666
17. Hughes TJR (1987) The Finite Element Method, Linear static and Dynamic Finite Element Analysis, Prentice-Hall, Inc., Englewood Cliffs, New Jersey
18. Gruttmann F, Wagner W (2004) A stabilized one-point integrated quadrilateral Reissner-Mindlin plate element. Int J Numer Meth Eng 61:2273-2295
19. Simo JC, Fox DD, Rifai MS (1989) On a stress resultant geometrically exact shell model. Part II: The linear theory; Computational aspects. Comp Meth Appl Mech Eng 73:53-92
20. Pian THH, Sumihara K (1984) Rational approach for assumed stress finite elements. Int J Numer Meth Eng 20:1685-1695
21. Piltner R, Taylor RL (1999) A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems. Int J Numer Meth Eng. 44:615-639
22. Kasper EP, Taylor RL (2000) A mixed-enhanced strain method part i: Geometrically linear problems. Comput & Struct 75:237-250
23. Kasper EP, Taylor RL (2000) A mixed-enhanced strain method part ii: Geometrically nonlinear problems. Comput & Struct 75: 251-260
24. Gruttmann F, Wagner W (2005) A linear quadrilateral shell element with fast stiffness computation. Comp Meth Appl Mech Eng 194:4279-4300
25. Hughes TJR, Liu WK (1981) Nonlinear finite element analysis of shells: Part I. Three dimensional shells. Comp Meth Appl Mech Eng 26:331-362
26. Simo JC (1993) On a stress resultant geometrically exact shell model. Part VII: Shell intersections with 5/6-DOF finite element formulations. Comp Meth Appl Mech Eng 108:319-339
27. Zienkiewicz OC, Taylor RL (2000) The Finite Element Method, Vol. 1-3, 5. edition, Butterworth-Heinemann, Oxford
28. MacNeal RH, Harder RL (1985) A proposed standard set of problems to test finite element accuracy. Finite Elements in Analysis and Design 1:3-20
29. Basar Y, Montag U, Ding Y (1993) On an isoparametric finite-element for composite laminates with finite rotations. Computat Mech 12:329-348
30. Wagner W, Gruttmann F (1994) A simple finite rotation formulation for composite shell elements. Eng Computat 11:145-176
31. Gruttmann F, Sauer R, Wagner W (2000) Theory and Numerics of Three-Dimensional Beams with Elastoplastic Material Behaviour. Int J Numer Meth Eng 48:1675-1702
32. Tsai WS (1988) Composites Design, Think Composites, Dayton
33. Cook RD, Malkus DS, Plesha ME (1989) Concepts and Applications of Finite Element Analysis, John Wiley & Sons, New York
34. Abramovich H, Grunwald A, Pevsner P, Weller T, David A, Ghilai G, Green A, Pekker N (2003) Experiments on Axial Compression Postbuckling Behavior of Stiffened Cylindrical Composite Panels, Proceeding of 44th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Material Conference, Norfolk, VI, USA, AIAA paper No. 2003-1793
35. Abramovich H, Grunwald A, Weller T (2003) Improved Postbuckling Simulation for Design of Fibre Composite Stiffened Fuselage Structures- POSICOSS- Part 1 - Test results, TAE Report No. 990, January 2003
36. Wagner W,Wriggers P (1988) A Simple Method for the Calculation of Postcritical Branches. Eng Computa 5:103-109
37. Hilber HM, Hughes TJR, Taylor RL (1977) Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Eng Struct dyn 5:283-292