Solution of geometrically nonlinear problems using spatial reference and the p-version of the FEM

Proceedings of the ASME Design Engineering Technical Conference

Volumn 6, Issue , 1996, Pages

  Noël, André T ^a   Szabó, Barna A ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; NUMERICAL METHODS;

DISPLACEMENT FIELD; EQUILIBRIUM EQUATION; GEOMETRICALLY NONLINEAR PROBLEM; ITERATIVE ALGORITHM; LOAD-DISPLACEMENT CURVE; NUMERICAL TREATMENTS; P-VERSION OF THE FINITE-ELEMENT METHOD; SPATIAL REPRESENTATIONS;

ITERATIVE METHODS;

EID: 0005808768     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/96-DETC/CIE-1618     Document Type: Conference Paper

References (20)

1. [Argyris and Symeonidis, 1981] Argyris, J. H. and Symeonidis, S., 1981, Nonlinear finite element analysis of elastic systems under nonconservative loading - Natural formulation. Part I. Quasistatic problems. Computer Methods in Applied Mechanics and Engineering, 26:75-123.
2. [Babuska et al., 1992] Babuska, I., Szabo, B. A., and Actis, R. L., 1992, Hierarchic models for laminated composites. International Journal for Numerical Methods in Engineering, 33:503-535.
3. [Bathe and Bolourchi, 1980] Bathe, K. J. and Bolourchi, S., 1980, A geometric and material non-linear plate and shell formulation. Computers & Structures, 11:23-48.
4. [Belytschko and Hsieh, 1973] Belytschko, T. and Hsieh, A. J., 1973, Non-linear transient finite element analysis with convected co-ordinates. International Journal for Numerical Methods in Engineering, 7:255-271.
5. [Criseld, 1991] Criseld, M. A., 1991, Non-linear Finite Element Analysis of Solids and Structures. John Wiley & Sons, Inc., New York.
6. [Gendy and Saleeb, 1994] Gendy, A. S. and Saleeb, A. F., 1994, Generalized mixed finite element model for preand pos-quasistatic buckling response of thin-walled framed structures. International Journal for Numerical Methods in Engineering, 37:297-322.
7. [Hsiao and Hou, 1987] Hsiao, K. M. and Hou, F. Y., 1987, Nonlinear finite element analysis of elastic frames. Computers & Structures, 26(4):693-701.
8. [Ibrahimbegovic and Frey, 1993] Ibrahimbegovic, A. and Frey, F., 1993, Finite element analysis of linear and nonlinear planar deformations of elastic initially curved beams. International Journal for Numerical Methods in Engineering, 36:3239-3258.
9. [Liu and Surana, 1993] Liu, J. H. and Surana, K. S., 1993, p-version axisymmetric shell element for geometrically nonlinear analysis. Computers & Structures, 49:1017-1026.
10. [Malvern, 1969] Malvern, L. E., 1969, Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, Inc., Englewood Cliffs, New Jersey.
11. [Nöel, 1996] Nöel, A. T., 1996, Spatial Formulation and Numerical Solution of Geometrically Nonlinear Problems in Finite Elasticity. D.Sc. dissertation, Sever Institute, Washington University, St. Louis.
12. [Oliver and O~nate, 1984] Oliver, J. and O~nate, E., 1984, A total Lagrangian formulation for the geometrically nonlinear analysis of structures using finite elements. Part I. Two-dimensional problems: shell and plate structures. International Journal for Numerical Methods in Engineering, 20:2253-2281.
13. [Oran and Kassimali, 1976] Oran, C. and Kassimali, A., 1976, Large deformations of framed structures under static and dynamic loads. Computers & Structures, 6:539-547.
14. [Orth and Surana, 1994] Orth, F. J. and Surana, K. S., 1994, p-version two-dimensional beam element for geometrically nonlinear analysis. Computers & Structures, 50(3):383-392.
15. [Pica et al., 1980] Pica, A., Wood, R. D., and Hinton, E., 1980, Finite element analysis of geometrically nonlinear plate behavior using a Mindlin formulation. Computers & Structures, 11:203-215.
16. [Ramm, 1977] Ramm, E., 1977, A plate/shell element for large deflections and rotations. In Bathe, K., Oden, J., and Wunderlich, W., editors, Formulation and Computational Algorithms in Finite Element Analysis. M.I.T. Press.
17. [Simo and Vu-Quoc, 1986] Simo, J. C. and Vu-Quoc, L., 1986, A three-dimensional finite-strain rod model. Part II: Computational aspects. Computer Methods in Applied Mechanics and Engineering, 58:79-116.
18. [Szabo and Babuska, 1991] Szabo, B. A. and Babuska, I., 1991, Finite Element Analysis. John Wiley & Sons, Inc., New York.
19. [Szabo and Sahrmann, 1988] Szabo, B. A. and Sahrmann, G. J., 1988, Hierarchic plate and shell models based on pextension. International Journal for Numerical Methods in Engineering, 26:1855-1881.
20. [Wood and Zienkiewicz, 1977] Wood, R. D. and Zienkiewicz, O. C., 1977, Geometrically nonlinear finite element analysis of beams, frames, arches and axisymmetric shells. Computers & Structures, 7:725-735.