One point quadrature shell element with through-thickness stretch

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 9-11, 2005, Pages 1161-1199

  Cardoso, Rui P R ^a   Yoon, Jeong Whan ^a,b  

^a UNIVERSITY OF AVEIRO   (Portugal)

^b ALCOA TECHNICAL CENTER   (United States)

Author keywords

Finite element method; One point quadrature; Physical stabilization; Shell element; Thickness stretch

Indexed keywords

DEFORMATION; ELASTOPLASTICITY; PARAMETER ESTIMATION; STRAIN; THICKNESS MEASUREMENT;

RIGID BODY PROJECTION; WARPINGS; ZERO ENERGY MODES;

SHELLS (STRUCTURES);

FINITE ELEMENT METHOD;

EID: 12344333593     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.06.017     Document Type: Article

References (29)

1. J.C. Simo M.S. Rifai D.D. Fox On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-thickness stretching Comput. Methods Appl. Mech. Engrg. 81 1990 91
2. H. Parisch A continuum-based shell theory for non-linear applications Int. J. Numer. Methods Engrg. 38 1995 1855
3. B.L. Kemp C. Cho S.W. Lee A four-node solid shell element formulation with assumed strain Int. J. Numer. Methods Engrg. 43 1998 909
4. M. Harnau K. Schweizerhof About linear and quadratic "Solid-Shell" elements at large deformations Comput. Struct. 80 2002 805
5. M. Harnau, K. Schweizerhof, A. Konyukhov, "Solid-Shell" elements with surface contact formulation for large deformation contact problems, VII International Conference on Computational Plasticity, COMPLAS 2003, Barcelona, 2003
6. S. Doll K. Schweizerhof R. Hauptmann C. Freischlager On volumetric locking of low-order solid and solid-shell elements for finite elastoviscoplastic deformations and selective reduced integration Engrg. Comput. 17-7 2000 874
7. L. Vu-Quoc X.G. Tan Optimal solid shells for non-linear analyses of multilayer composits. I. Statics Comput. Methods Appl. Mech. Engrg. 192 2003 975
8. N. Buchter E. Ramm D. Roehl Three-dimensional extension of non-linear shell formulation based on the enhanced assumed strain concept Int. J. Numer. Methods Engrg. 37 1994 2551
9. R. Hauptmann K. Schweizerhof A systematic development of solid-shell element formulations for linear and non-linear analyses employing only displacement degrees of freedom Int. J. Numer. Methods Engrg. 42 1998 49
10. N. Buchter E. Ramm Shell theory versus degeneration - A comparison in large rotation finite element analysis Int. J. Numer. Methods Engrg. 34 1992 39
11. N. El-Abbasi S.A. Meguid A new shell element accounting for through-thickness deformation Comput. Methods Appl. Mech. Engrg. 189 2000 841
12. P. Betsch F. Gruttmann E. Stein A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains Comput. Methods Appl. Mech. Engrg. 130 1996 57
13. T.J.R. Hughes M. Cohen M. Haroun Reduced and selective integration techniques in finite element analysis of plates Nucl. Engrg. Des. 46 1978 203
14. D.P. Flanagan T. Belytschko A uniform strain hexaedron and quadrilateral with orthogonal hourglass control Int. J. Numer. Methods Engrg. 17 1981 679
15. T. Belytschko W. Bachrach Efficient implementation of quadrilaterals with high coarse-mesh accuracy Comput. Methods Appl. Mech. Engrg. 54 1986 279
16. J.O. Hallquist, P.J. Benson, G.L. Gougrean, Implementation of a modified Hughes-Liu shell into a fully vectorized explicit finite element code, in: P. Bergan et al. (Ed.), Finite Element Methods for Nonlinear Problems, Springer, Berlin, 1986, p. 283
17. T. Belytschko I. Leviathan Physical stabilization of the 4-node shell element with one point quadrature Comput. Methods Appl. Mech. Engrg. 113 1994 321
18. R.P.R. Cardoso J.W. Yoon J.J. Grácio F. Barlat J.M.A. César de Sá Development of a one point quadrature shell element for nonlinear applications with contact and anisotropy Comput. Methods Appl. Mech. Engrg. 191 2002 5177
19. E.N. Dvorkin K.J. Bathe A continuum mechanics based four-node shell element for general nonlinear analysis Engrg. Comput. 1 1984 77
20. T. Belytschko I. Leviathan Projection schemes for one-point quadrature shell elements Comput. Methods Appl. Mech. Engrg. 115 1994 277
21. K.J. Bathe Finite Element Procedures in Engineering Analysis 1982 Prentice-Hall Englewood Cliffs, NJ
22. Y. Basar D. Weicher Nonlinear Continuum Mechanics of Solids 2000 Springer-Verlag Berlin Heidelberg, New York
23. R.A.F. Fontes Valente R.M. Natal Jorge R.P.R. Cardoso J.M.A. César de Sá J.J. Grácio On the use of an enhanced transverse shear strain shell element for problems involving large rotations Comput. Mech. 30 2003 286
24. J.W. Yoon D.Y. Yang K. Chung Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials Comput. Methods Appl. Mech. Engrg. 174 1999 23
25. J.C. Simo D.D. Fox M.S. Rifai On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory Comput. Methods Appl. Mech. Engrg. 79 1990 21
26. J.C. Simo, D.D. Fox, M.S. Rifai, Formulation and computational aspects of a stress resultant geometrically exact shell model, in: Proceedings of the International Conference on Computational Engineering Science, Atlanta, USA, 1988
27. R. Frisch-Fay Flexible Bars 1962 Butterworths London
28. C. Sansour H. Bufler An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation Int. J. Numer. Methods Engrg. 34 1992 73
29. P. Betsch E. Stein Numerical implementation of multiplicative elasto-plasticity into assumed strain elements application to shells at large strains Comput. Methods Appl. Mech. Engrg. 179 1999 215