A comparison of three-dimensional continuum and shell elements for finite plasticity

International Journal of Solids and Structures

Volumn 33, Issue 20-22, 1996, Pages 3309-3326

  Wriggers, P ^a   Eberlein, R ^a   Reese, S ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTOPLASTICITY; MATHEMATICAL MODELS; PLASTIC DEFORMATION; PLASTICITY; SHELLS (STRUCTURES); SOLIDS; STRAIN; THREE DIMENSIONAL;

FINITE ELASTOPLASTIC DEFORMATIONS; THREE-DIMENSIONAL CONTINUUM ELEMENTS;

CONTINUUM MECHANICS;

EID: 0030215974     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00262-6     Document Type: Article

References (30)

1. Basar, Y. and Ding, Y. (1990). Theory and finite element formulation for shell structures undergoing finite rotations. In Advances in the Theory of Shells and Plates (Edited by G. T. Voyiadjis and D. Karamanlidis), pp. 3-26. Elsevier, Amsterdam.
2. Büchter, N., Ramm, E. and Roehl, D. (1994). Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept. Int. J. Numer. Meth. Engng 37, 2551-2568.
3. Eberlein, R., Wriggers, P. and Taylor, R. L. (1993). A fully non-linear axisymmetrical quasi-Kirchhoff-type shell element for rubber-like materials. Int. J. Numer. Meth. Engng 36, 4027-4043.
4. Hughes, T. J. R. and Liu, W. K. (1981). Nonlinear finite element analysis of shells: Part I. Three-dimensional shells. Comput. Meth. Appl. Mech. Engng 26, 331-362.
5. Ibrahimbegović, A. (1994). Finite elastoplastic deformations of space-curved membranes. Comput. Meth. Appl. Mech. Engng 119, 371-394.
6. Korelc, J. and Wriggers, P. (1995). An efficient three-dimensional enhanced strain element with Taylor expansion of the shape functions. Comput. Mech. submitted.
7. Morman, K. N. (1986). The generalized strain measure with application to nonhomogeneous deformations in rubber-like solids. J. Appl. Mech. 53, 726-728.
8. Ogden, R. W. (1984). Nonlinear Elastic Deformation. Ellis Horwood, Chichester.
9. Parisch, H. (1991). An investigation of a finite rotation four-node shell element. Int. Numer. Meth. Engng 31, 127-150.
10. Ramm, E. (1976). Geometrisch nichtlineare Elastostatik und finite Elemente. Report No. 76-2, Institut für Baustatik, Universität Stuttgart.
11. Reese, S. (1994). Theorie und Numerik des Stabilitätsverhaltens hyperelastischer Festkörper. Dissertation, Institut für Mechanik, Technische Hochschule Darmstadt.
12. Reese, S. and Wriggers, P. (1995). A finite-element method for stability problems in finite elasticity. Int. J. Numer. Meth. Engng 38, 1171-1200.
13. Schoop, H. (1986). Oberflächenorientierte Schalentheorien endlicher verschiebungen. Ing. Archiv 56, 427-437.
14. Schweizerhof, K. and Ramm, E. (1984). Displacement dependent pressure loads in nonlinear finite-element analysis. Comput. Struct. 18, 1099-1114.
15. Sewell, M. J. (1966). On configuration-dependent loading. Arch. Rational Mech. Anal. 23, 327-351.
16. Simo, J. C. (1992). Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the Infinitesimal Theory. Comput. Meth. Appl. Mech. Engng 99, 61-112.
17. Simo, J. C. and Armero, F. (1992). Geometrically nonlinear enhanced-strain mixed methods and the method of incompatible modes. Int. J. Numer. Meth. Engng 33, 1413-1449.
18. Simo, J. C. and Kennedy, J. G. (1992). On a stress resultant geometrically exact shell model. Part V. Nonlinear plasticity: formulation and integration algorithms. Comput. Meth. Appl. Mech. Engng 96, 133-171.
19. Simo, J. C. and Ortiz, M. (1985). A unified approach to finite deformation elastoplasticity based on the use of hyperelastic constitutive equations. Comput. Meth. Appl. Mech. Engng 46, 201-215.
20. Simo, J. C. and Rifai, M. S. (1990). A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Numer. Meth. Engng 29, 1595-1638.
21. Simo, J. C. and Miehe, C. (1992). Coupled associative thermoplasticity at finite strains. Formulation, numerical analysis and implementation. Comput. Meth. Appl. Mech. Engng 98, 41-104.
22. Simo, J. C. and Taylor, R. L. (1991). Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms. Comput. Meth. Appl. Mech. Engng 85, 273-310.
23. Simo, J. C., Fox, D. D. and Rifai, M. S. (1990). On a stress resultant geometrically exact shell model. Part III. Computational aspects of the nonlinear theory. Comput. Meth. Appl. Mech. Engng 79, 21-70.
24. Simo, J. C., Taylor, R. L. and Wriggers, P. (1991). A note on finite-element implementation of pressure boundary loading. Commun. Appl. Numer. Meth. 7, 513-525.
25. Simo, J. C., Armero, F. and Taylor, R. L. (1993). Improved versions of assumed enhanced-strain tri-linear elements for three-dimensional finite deformation problems. Comput. Meth. Appl. Mech. Engng 110, 359-386.
26. Wagner, W. and Gruttmann, F. (1994). A simple finite rotation formulation for composite shell elements. Engng Comput. 11, 145-176.
27. Wriggers, P. and Gruttmann, F. (1993). Thin shells with finite rotations formulated in Biot stresses theory and finite-element-formulation. Int. J. Numer. Meth. Engng 36, 2049-2071.
28. Wriggers, P. and Hueck, U. (1995). A formulation of the QS6-element for large elastic deformations. Int. J. Numer. Meth. Engng 65, 465-477.
29. Wriggers, P., Eberlein, R. and Gruttmann, F. (1995). An axisymmetrical quasi-Kirchhoff-type shell element for large plastic deformations. Arch. Appl. Mech. In press.
30. Zienkiewicz, O. C., Too, J. and Taylor, R. L. (1971). Reduced integration technique in general analysis of plates and shells. Int. J. Numer. Meth. Engng 3, 275-290.