A finite element method for plane stress problems with large elastic and plastic deformations

Communications in Numerical Methods in Engineering

Volumn 13, Issue 12, 1997, Pages 963-976

  Kirchner, E ^a   Reese, S T ^a   Wriggers, P ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Finite strain plasticity; Finite stress; Plane stress

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; ELASTICITY; PLASTIC DEFORMATION; PLASTICITY; PROBLEM SOLVING; STRAIN; STRESS ANALYSIS;

LOGARITHMIC STRETCHES;

FINITE ELEMENT METHOD;

EID: 0031360075     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199712)13:12<963::AID-CNM115>3.0.CO;2-3     Document Type: Article

References (12)

1. J. C. Simo, 'Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory', Comput. Methods Appl. Mech. Eng., 99, 61-112 (1992).
2. O. S. Hopperstad, 'Modelling of cyclic plasticity with application to steel and aluminium structures', Technical Report 1993:7, Department of Structural Engineering, The Norwegian Institute of Technology, Trondheim, 1993.
3. P. Wriggers, R. Eberlein and S. Reese, 'Comparison between shells and 3D-elements in plasticity', to appear in Int. J. Solids Struct.
4. J. C. Simo and R. L. Taylor, 'A return mapping algorithm for plane stress elastoplasticity', Int. j. numer. methods eng., 22, 649-670 (1986).
5. J. C. Simo and R. L. Taylor, 'Consistent tangent operators for rate-independent elasto-plasticity', Comput. Methods Appl. Mech. Eng., 48, 101-118 (1985).
6. S. Reese, Theorie und Numerik des Stabilitätsverhaltens hyperelastischer Festkörper, Dr.-Ing. Dissertation, Technical University Darmstadt, 1995.
7. J. C. Simo and R. L. Taylor, 'Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms', Comput. Methods Appl. Mech. Eng., 85, 273-310 (1991).
8. F. Gruttmann and R. L. Taylor, 'Theory and finite element formulation of rubberlike membrane shells using principal stretches', Int. j. numer. methods eng., 35, 1111-1126 (1992).
9. J. Lubliner, Plasticity Theory, Macmillan, New York, 1990.
10. D. Gross, W. Hauger, W. Schnell and P. Wriggers, Technische Mechanik 4, Springer, Berlin, 1993.
11. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, Vol. 1, 4th Edn, McGraw Hill, London, 1989.
12. E. Kirchner, Finite Elementformulierungen für elasto-plastische Probleme mit groβen Deformationen, Diploma thesis, Institut für Mechanik IV, Technical University Darmstadt, 1995.