A mixed finite element model for plane strain elastic-plastic analysis Part II. Application to the 4-node bilinear element

Computer Methods in Applied Mechanics and Engineering

Volumn 141, Issue 1-2, 1997, Pages 81-93

  Capsoni, A ^a   Corradi, L ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; LOADS (FORCES); MATHEMATICAL MODELS; PLASTIC DEFORMATION; STRAIN;

PLANE STRAIN;

ELASTOPLASTICITY;

EID: 0041760446     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01099-7     Document Type: Article

References (14)

1. A. Capsoni and L. Corradi, A mixed finite element model for plane strain elastic-plastic analysis: Part I - Formulation and assessment of the overall behavior, Comp. Methods Appl. Mech. Engrg. 141 (1997) 67.
2. J.C. Simo and M.S. Rifai, A class of assumed strain methods and the method of incompatible modes, Int. J. Numer. Methods Engrg. 29 (1990) 1595.
3. T.H.H. Pian and H. Sumihara, Rational approach for assumed stress finite elements, Int. J. Numer. Methods Engrg. 20 (1984) 1682.
4. J.B. Martin, Plasticity: Theory and Applications (M.I.T. Press, Cambridge, MA, 1975).
5. J.C. Simo, J.G. Kennedy and S. Govindjee, Non-smooth multisurface plasticity and viscoplasticity. Loading/unloading conditions and numerical algorithms, Int. J. Numer. Methods Engrg. 26 (1988) 2161.
6. S.L. Weissman and M. Jamjian, Two-dimensional elastoplasticity-Approximation by mixed finite elements, Int. J. Numer. Methods Engrg. 36 (1993) 3703.
7. J.H. Argyris, Continua and Discontinua, in: Proc. 1st Conf. Matrix Methods in Structural Mechanics, AFFDL, TR 66-88, Dayton, OH (1966) 11-92.
8. T. Belytschko, J.S. Ong, W.K. Liu and J.M. Kennedy, Hourglass control in linear and nonlinear problems, Comp. Methods Appl. Mech. Engrg. 43 (1984) 251.
9. J.C. Nagtegaal, D.M. Parks and J.R. Rice, On numerically accurate finite element solutions in the fully plastic range, Comp. Methods Appl. Mech. Engrg. 4 (1974) 153.
10. T. Belytschko and E. Bachrach, Efficient implementation of quadrilaterals with high coarse-mesh accuracy, Comp. Methods Appl. Mech. Engrg. 54 (1986) 279.
11. W.F. Chen and D.J. Han, Plasticity for structural engineers (Springer Verlag, 1988).
12. T.J.R. Hughes, Generalization of selective integration procedures to anisotropic and nonlinear media, Int. J. Numer. Methods Engrg. 15 (1980) 1413.
13. R.H. MacNeal and R.L. Harder, A proposed standard set of problems to test finite element accuracy. Finite Element Analysis Design 1 (1985) 3.
14. W. Prager and Ph.G.Jr. Hodge, Theory of perfectly plastic solids (Wiley, New York, 1951).