A 24 d.o.f. four-node flat shell finite element for general unsymmetric orthotropic layered composites

Engineering Computations (Swansea, Wales)

Volumn 15, Issue 4, 1998, Pages 518-543

  Groenwold, Albert A ^a   Stander, Nielen ^a  

^a UNIVERSITY OF PRETORIA   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; KINEMATICS; MEMBRANES; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STRUCTURAL ANALYSIS; BEAMS AND GIRDERS; BENDING (DEFORMATION); COMPOSITE MATERIALS; COMPUTER SIMULATION; FIBER REINFORCED MATERIALS; GEOMETRY; GEOTEXTILES; MATRIX ALGEBRA; OPTIMIZATION; STIFFNESS; STRAIN MEASUREMENT; THICKNESS CONTROL;

ORTHOTROPY; ELEMENTAL FORMULATION; LOWER ORDER ELEMENTS; ORTHOTROPIC LAYERED COMPOSITES; WARPED GEOMETRY;

COMPOSITE STRUCTURES; SHELLS (STRUCTURES);

EID: 0031645244     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644409810219794     Document Type: Article

References (26)

1. Ahmad, S., Irons, B.M. and Zienkiewicz, O.C. (1970), "Analysis of thick and thin shell structures by curved finite elements", International Journal for Numerical Methods in Engineering, Vol. 2, pp. 419-51.
2. Allman, D.J. (1984), "A compatible triangular element including vertex rotations for plane elasticity analysis", Computers and Structures, Vol. 19, pp. 1-8.
3. Andelfinger, U., Matzenmiller, A. and Ramm, E. (1989), "Hybrid-mixed four-node shell elements, different two-field assumptions and a stability test", in Noor, A.K. et al. (Eds), Analytical and Computational Models of Shells, ASME Special Publication.
4. Bathe, K.-J. and Dvorkin, E.N. (1985), "A four node plate bending element based on Mindlin-Reissner plate theory and a mixed interpolation", International Journal for Numerical Methods in Engineering, Vol. 21, pp. 367-83.
5. Dovey, H.H. (1974), "Extension of three dimensional analysis to shell structures using the finite element idealization", Report no. UC SESM 74-2, PhD dissertation, University of California, Berkeley.
6. Dvorkin, E.N. and Bathe, K.-J. (1984), "A continuum mechanics based four-node shell element for general non-linear analysis", Engineering Computations, Vol. 1, pp. 77-88.
7. Frey, F. (1989), "Shell finite elements with six degrees of freedom per node", ASME Winter Annual Meeting, San Francisco.
8. Groenwold, A.A. (1993), "Finite element analysis of composite plates and shells", M.Eng. Dissertation, Dept. of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria.
9. Groenwold, A.A. and Stander, N. (1995), "An efficient 4-node 24 d.o.f. thick shell finite element with 5-point quadrature", Engineering Computations, Vol. 12, pp. 723-48.
10. Groenwold, A.A., Snyman, J.A. and Stander, N. (1996), "Modified trajectory method for practical global optimization problems", AIAA Journal, Vol. 34, pp. 2126-31.
11. Haas, D.J. and Lee, S.W. (1987), "A nine-node assumed-strain finite element for composite plates and shells", Computers and Structures, Vol. 26, pp. 445-52.
12. Haftka, R.T. and Gürdal, Z. (1991), Elements of Structural Optimization, Kluwer Academic Press, Dordrecht, The Netherlands.
13. Holland, J.H. (1975), Adaptation in Natural and Artificial Systems, Univ. of Michigan Press, Ann Arbor, MI.
14. Hughes, T.J.R. and Brezzi, F. (1989), "On drilling degrees of freedom", Computer Methods in Applied Mechanics and Engineering, Vol. 72, pp. 105-21.
15. Hughes, T.J.R. and Liu, W.K. (1981), "Non-linear finite element analysis of shells: part 1. Three-dimensional shells", Computer Methods in Applied Mechanics and Engineering, Vol. 26, pp. 331-62.
16. Ibrahimbegovic, A., Taylor, R.L. and Wilson, E.L. (1990), A robust quadrilateral membrane finite element with drilling degrees of freedom", International Journal for Numerical Methods in Engineering, Vol. 30, pp. 445-57.
17. Lakshminarayana, H.V. and Murthy, S.S. (1984), "A shear-flexible triangular finite element model for laminated composite plates", International Journal for Numerical Methods in Engineering, Vol. 20, pp. 591-623.
18. Mau, S.T., Tong, P. and Pian, T.H. (1972), "Finite element solutions for laminated thick plates", Journal of Composite Materials, Vol. 6, pp. 304-11.
19. Moser, K. and Schmid, A. (1989), "Composite structures - modeling, finite element analysis and evaluation", Journal of Composite Structures, Vol. 11, pp. 33-56.
20. Noor, A.K. and Mathers, M.D. (1977), "Finite element analysis of anisotropic plates", International Journal for Numerical Methods in Engineering, Vol. 11, pp. 289-307.
21. Noor, A.K. and Mathers, M.D. (1985), "Shear-flexible finite element models of laminated composite plates and shells", NASA TN D-8044.
22. Simo, J.C., Fox, D.D. and Rifai, M.S. (1989), "On a stress resultant geometrically exact shell model part II: the linear theory; computational aspects", Computer Methods in Applied Mechanics and Engineering, Vol. 73, pp. 53-92.
23. Somashekar, B.R., Prathap, G. and Babu, C.R. (1987), "A field-consistent four-noded, laminated anisotropic shell element", Computers and Structures, Vol. 25, pp. 345-53.
24. Spilker, R.L., Chou, S.C. and Orringer, O. (1977), "Alternate hybrid-stress elements for analysis of multilayered composite plates", Journal of Composite Materials, Vol. 11, pp. 51-70.
25. Stanley, G.M. (1985), Continuum-based shell elements", PhD dissertation, Department of Mechanical Engineering, Stanford University.
26. Taylor, R.L. (1987), "Finite element analysis of linear shell problems", in Whiteman, J.R. (Ed.), Proceedings the Mathematics in Finite Elements and Applications, Academic Press, New York, pp. 191-203.