Elastoplastic stability analysis of shells using the physically stabilized finite element SHB8PS

International Journal for Numerical Methods in Engineering

Volumn 57, Issue 9, 2003, Pages 1299-1322

  Legay, Antoine ^a   Combescure, Alain ^b  

^a Grande Voie des Vignes   (France)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Assumed strains; Elastoplasticity; Finite element; Hour glass stabilization; Stability; Three dimensional shell

Indexed keywords

INTEGRATION; SHELLS (STRUCTURES); STABILIZATION;

GAUSS POINTS;

ELASTOPLASTICITY;

FINITE ELEMENT METHOD;

EID: 0041814391     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.728     Document Type: Article

References (23)

1. Lemosse, D. Eléments finis isoparamétriques tridimensionnels pour l'étude des structures minces. Thèse, Ecole Doctorale SPMI/INSA-Rouen, 2000.
2. Ayad R, Dhatt G, Batoz JL. A new hybrid-mixed variational approach for reissner-mindlin plates: the misp model. International Journal for Numerical Methods in Engineering 1998; 42:1149-1179.
3. Reese S, Wriggers P, Reddy BD. A new locking-free brick element technique for large deformation problems in elasticity. Computers and Structures 2000; 75:291-304.
4. Wall WA, Bischoff M, Ramm E. A deformation dependent stabilization technique, exemplified by eas elements at large strains. Computer Methods in Applied Mechanics and Engineering 2000; 188:859-871.
5. Hauptmann R, Doll S, Hamau M, Schweizerhof K. 'Solid-shell' elements with linear and quadratic shape functions at large deformations with nearly incompressible materials. Computers and Structures 2001; 79: 1671-1685.
6. Flanagan DP, Belytschko T. A uniform strain hexahedron end quadrilateral with orthogonal hourglass control. International Journal for Numerical Methods in Engineering 1981; 17:679-706.
7. Hallquist JO. DYNA3D theoretical manual. Lawrence livermore National Laboratory, University of California, 1983.
8. Han CS, Wriggers P. Adaptative method for elasto-plastic shell problems. Computer Methods in Applied Mechanics and Engineering 2000; 189:651-671.
9. Belytschko T, Bindeman LP. Assumed strain stabilization of the eight node hexahedral elements. Computer Methods in Applied Mechanics and Engineering 1993; 105:225-260.
10. Abed-Meraim F, Combescure A. Shb8ps a new adaptative assumed strain continuum mechanics shell element for impact analysis. Computers and Structures 2002; 80:781-803.
11. Sprenger W, Gruttmann F, Wagner W. Delamination growth analysis in laminated structures with continuum-based 3d-shell elements and a viscoplastic softening model. Computer Methods in Applied Mechanics and Engineering 2000; 185:123-139.
12. Klinkel S, Wagner W. A geometrical non-linear brick element based on the eas-method. International Journal for Numerical Methods in Engineering 1997; 40:4529-4545.
13. Riks E. An incremental approach to the solution of snapping and buckling problems. International Journal of Solids and Structures 1979; 15:524-551.
14. Korelec J, Wriggers P. Consistent gradient formulation for a stable enhanced strain method for large deformations. Engineering Computations 1996; 13:103-123.
15. Simo J, Hughes T. On the variational fundations of assumed strain methods. Journal of Applied Mechanics (ASME) 1986; 53:51-64.
16. Zeng Q, Combescure A. A new one point quadrature, general non-lincar quadrilateral shell element with physical stabilization. International Journal for Numerical Methods in Fngineering 1998; 42:1307-1338.
17. Liu WK, Guo Y, Tang S. Belytschko T. A multiple-quadrature eight-node hexahedral finite element for large deformation elastoplastic analysis. Computer Methods in Applied Mechanics and Engineering 1998; 154: 69-132.
18. MacNeal R, Harder RL. A proposed standard set of problems to test finite element accuracy. Finite Elements in Analysis and Design 1985; 1:3-20.
19. Hauptmann R, Schweizerhof K. A systematic development of 'solid-shell' element formulations for linear and non-linear analyses employing only displacement degrees of freedom. International Journal for Numerical Methods in Engineering 1998; 42:49-69.
20. Papadrakis M, Samartin A, Onate E. Reliability analysis of stability of shells based on combined finite element and response surface methods, 2000.
21. Legay A, Combescure A. Efficient algorithms for parametric non-linear instability analysis. International Journal of Non-Linear Mechanics 2002; 37:709-722.
22. Gusic G, Combescure A, Jullien JF. The influence of circumferential thickness variations on buckling of cylindrical shells under external pressure. Computers and Structures 2000; 74:461-477.
23. Batoz JL, Dhatt G. Modelisation des structures par éléments finis vol. 3 Coques. Hermes: Paris, 1992.