A geometrical non-linear brick element based on the EAS-method

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 24, 1997, Pages 4529-4545

  Klinkel, S ^a   Wagner, W ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

3D brick element; Enhanced assumed strain; Mixed finite element

Indexed keywords

BEAMS AND GIRDERS; FINITE ELEMENT METHOD; SHELLS (STRUCTURES); STRAIN; STRUCTURAL ANALYSIS;

ENHANCED ASSUMED STRAIN (EAS) METHOD; GEOMETRICAL NONLINEAR BRICK ELEMENT;

BRICK;

EID: 0031387356     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19971230)40:24<4529::AID-NME271>3.0.CO;2-I     Document Type: Article

References (12)

1. J. C. Simo and D. Rifai, 'A class of mixed assumed strain methods and the method of incompatible modes', Int. J. Numer. Meth. Engng., 29, 1595-1638 (1990).
2. U. Andelfinger and E. Ramm, 'EAS-elements for two-dimensional, three-dimensional, plate and shell structures and their equivalence to HR-elements', Int. J. Numer. Meth. Engng., 36, 1311-1337 (1993).
3. U. Andelfinger, E. Ramm and D. Roehl, '2D-and 3D-enhanced assumed strain elements and their application in plasticity', in: E. Onate, D. R. J. Owen (eds,), Proc. 3rd Int. Conf. on Computational Plasticity Fundamentals and Applications, Pineridge Press, Swansea, 1992.
4. R. Slavkovic, M. Zivkovic and M. Kojic, 'Enhanced 8-node three-dimensional solid and 4-node shell elements with incompatible generalized displacements', Commun. Appl. Numer. Methods, 10, 699-709 (1994).
5. P. Betsch, F. Gruttmann and E. Stein, 'A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains', Comput. Methods Appl. Mech. Engng., 130, 57-80 (1996).
6. J. C. Simo, F. Armero and R. L. Taylor, 'Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems', Comput. Methods Appl. Mech. Engng., 110, 359-386 (1993).
7. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, Vol. I, 4th edn, McGraw-Hill, London, 1989.
8. R. D. Cook and M. Asce, 'Improved two-dimensional finite element', J. Struct. Engng., 8, 1851-1863 (1974).
9. J. C. Simo, P. Wriggers, K. H. Schweizerhof and R. L. Taylor, 'Finite deformation post-buckling analysis involving inelasticity and contact constraints', Int. J. Numer. Meth. Engng., 23, 779-800 (1986).
10. K.-J. Bathe and S. Bolourchi, 'Large displacement analysis of three-dimensional beam structures', Int. J. Numer. Meth. Engng., 14, 961-986 (1979).
11. W. Wagner, 'Stability analysis of shells with the finite element method', in: F. G. Rammerstorfer (ed.), Nonlinear Analysis of Shells by Finite Elements, Springer, Wien, 1992.
12. J. Chroscielewski, J. Makowski and H. Stumpf, 'Genuinely resultant shell finite elements accounting for geometric and material non-linearity', Int. J. Numer. Meth. Engng., 35, 63-94 (1992).