A high-performance element for the analysis of 2D elastoplastic continua

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 4-6, 2007, Pages 818-828

  Bilotta, A ^a   Casciaro, R ^a  

^a UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Assumed stress; Finite element; Plasticity

Indexed keywords

ELASTIC MODULI; FINITE ELEMENT METHOD; LOADS (FORCES); MATHEMATICAL MODELS; PLASTICITY; STRESSES;

ELASTIC-PERFECTLY PLASTIC VON MISES LAWS; ELASTOPLASTIC FORMULATION; PLASTIC LOADING;

ELASTOPLASTICITY;

ELASTIC MODULI; ELASTOPLASTICITY; FINITE ELEMENT METHOD; LOADS (FORCES); MATHEMATICAL MODELS; PLASTICITY; STRESSES;

EID: 33750429315     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.06.009     Document Type: Article

References (21)

1. Barthold F.J., Schmidt M., and Stein E. Error indicators and mesh refinements for finite-element-computations of elastoplastic deformations. Comput. Mech. 22 (1998) 225-238
2. Bergan P.G., and Nygard M.K. Finite elements with increased freedom in choosing shape functions. Int. J. Numer. Methods Engrg. 20 (1984) 643-663
3. Bilotta A., and Casciaro R. Assumed stress formulation of high order quadrilateral elements with an improved in-plane bending behaviour. Comput. Methods Appl. Mech. Engrg. 191 15-16 (2002) 1523-1540
4. Capsoni A., and Corradi L. A mixed finite element model for plane strain-plastic analysis. Part I. Formulation and assessment of the overall behaviour. Comput. Methods Appl. Mech. Engrg. 141 (1997) 67-79
5. Capsoni A., and Corradi L. A mixed finite element model for plane strain-plastic analysis. Part II. Application to the 4-node bilinear element. Comput. Methods Appl. Mech. Engrg. 141 (1997) 81-93
6. Casciaro R., and Cascini L. A mixed formulation and mixed finite elements for limit analysis. Int. J. Numer. Methods Engrg. 18 (1982) 211-243
7. Casciaro R., and Garcea G. An iterative method for shakedown analysis. Comput. Methods Appl. Mech. Engrg. 165 1-4 (2002) 5761-5792
8. R. Casciaro, M. Mancuso, Omaggio a Giulio Ceradini, A numerical approach to the incremental elastoplastic problem (in Italian). Dipartimento di Ingegneria Strutturale e Geotecnica, Univ. di Roma La Sapienza, 1988.
9. Comi C., and Perego U. A unified approach for variationally consistent finite elements in elastoplasticity. Comput. Methods Appl. Mech. Engrg. 12 (1995) 323-344
10. Felippa C.A., Haugen B., and Militello C. From the individual element test to finite element templates: evolution of the patch test. Int. J. Numer. Methods Engrg. 38 (1995) 199-229
11. Garcea G., Trunfio G.A., and Casciaro R. Mixed formulation and locking in path-following nonlinear analysis. Comput. Methods Appl. Mech. Engrg. 165 (1998) 247-272
12. Martin J.B. Plasticity: Fundamentals and General Results (1975), MIT Press, Cambridge
13. Nagtegaal J.C., Parks D.M., and Rice J. On numerically accurate finite element solutions in the fully plastic range. Comput. Methods Appl. Mech. Engrg. 4 (1974) 153-177
14. Ortiz M., and Martin J.B. Symmetry-preserving return mapping algorithms and incrementally extremal paths: a unification of concepts. Int. J. Numer. Methods Engrg. 28 (1989) 1839-1853
15. Pian T.T.H. Derivation of element stiffness matrices by assumed stress distribution. AIAA J. 2 (1984) 1333-1336
16. Pian T.T.H., and Sumihara K. Rational approach for assumed stress finite elements. Int. J. Numer. Methods Engrg. 20 (1984) 1685-1695
17. Pinsky P.M. A finite element formulation for elastoplasticity based on three-field variational equation. Comput. Methods Appl. Mech. Engrg. 61 (1987) 41-60
18. Ponter A.R.S., and Martin J.B. Some extremal properties and energy theorems for inelastic materials and their relationship to the deformation theory of plasticity. J. Mech. Phys. Solids 20 (1972) 281-300
19. Simo J.C., Kennedy J.G., and Taylor R.L. Complementary mixed finite element formulations for elastoplasticity. Comput. Methods Appl. Mech. Engrg. 74 (1989) 177-206
20. Simo J.C., and Rifai M.S. A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Numer. Methods Engrg. 29 (1990) 1595-1638
21. Weissman S.L., and Jamjian M. Two dimensional elastoplasticity approximation by mixed finite elements. Int. J. Numer. Methods Engrg. 36 (1993) 3703-3727