Elastoplastic orthotropy at finite strains: Multiplicative formulation and numerical implementation

Computational Materials Science

Volumn 28, Issue 3-4 SPEC. ISS., 2003, Pages 732-742

  Eidel, B ^a   Gruttmann, F ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Anisotropy; Computational solid mechanics; Finite element formulation; Inelastic constitutive behavior; Large deformations; Material modelling

Indexed keywords

ANISOTROPY; DECOMPOSITION; ELASTOPLASTICITY; MATHEMATICAL MODELS; PLASTIC DEFORMATION; STRAIN; TENSORS;

FINITE STRAINS;

MATERIALS SCIENCE;

EID: 0142217186     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2003.08.027     Document Type: Conference Paper

References (16)

1. Betten J. Formulation of anisotropic constitutive equations. Boehler J.P. Applications of Tensor Functions in Solid Mechanics, CISM Course no. 292. 1987;227-250 Springer, Heidelberg.
2. Boehler J.P. Introduction to the invariant formulation of anisotropic constitutive equations. Boehler J.P. Applications of Tensor Functions in Solid Mechanics, CISM Course no. 292. 1987;13-30 Springer, Heidelberg.
3. Spencer A.J.M. Theory of invariants. Eringen A.C. Continuum Physics. vol. 1:1971;239-353 Academic Press, New York.
4. S. Klinkel, Theorie und Numerik eines Volumen-Schalen-Elementes bei finiten elastischen und plastischen Verzerrungen, Ph.D. Thesis, Universität Karlsruhe (TH), 2000.
5. Lubliner J. Plasticity Theory. first ed. 1990;Macmillan Publishing Company, New York.
6. p in plasticity J. Appl. Mech. 47:1980;672-675.
7. Casey J., Naghdi P. A correct definition of elastic and plastic deformation and its computational significance. J. Appl. Mech. 48:1981;983-985.
8. Green A.E., Naghdi P.M. Some remarks on elastic-plastic deformations at finite strains. Int. J. Eng. Sci. 9:1971;1219-1229.
9. Miehe C., Stein E. A canonical model of multiplicative elasto-plasticity: formulation and aspects of the numerical implementation. Eur. J. Mech. A: Solids. 11:1992;25-43.
10. Simó J.C. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Comput. Methods Appl. Mech. Eng. 99:1992;61-112.
11. Miehe C. Exponential map algorithm for stress updates in anisotropic multiplicative elastoplasticity for single crystals. Int. J. Numer. Methods Eng. 39:1996;3367-3390.
12. Sansour C., Kollmann F.G. Large viscoplastic deformations of shells. Theory and finite element formulation. Comput. Mech. 21:1998;512-525.
13. R.L. Taylor, FEAP - A Finite Element Analysis Program: Users Manual, University of California, Berkeley, 2000. Available from < http://www.ce.berkeley.edu/rltgt;.
14. Simó J.C., Armero F. Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes. Int. J. Numer. Methods Eng. 33:1992;1413-1449.
15. Norris D.M., Moran B., Scudder J.K., Quiñones D.F. A computer simulation of the tension test. J. Mech. Phys. Solids. 26:1978;1-19.
16. Schröder J., Gruttmann F., Löblein J. A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures. Comput. Mech. 30:2002;38-64.