Aspects on the finite-element implementation of the Gurson model including parameter identification

International journal of plasticity

Volumn 15, Issue 11, 1999, Pages 1111-1137

  Mahnken, Rolf ^a  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; INTEGRATION; LEAST SQUARES APPROXIMATIONS; LINEAR PROGRAMMING; MATHEMATICAL MODELS; PARAMETER ESTIMATION; QUADRATIC PROGRAMMING; SENSITIVITY ANALYSIS;

GURSON MODEL; MULTIPLICATIVE DECOMPOSITION;

PLASTICITY;

EID: 0033344146     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(99)00029-7     Document Type: Article

References (21)

1. Bennani B., Picart P., Oudin J. Some basic finite element analysis of microvoid nucleation, growth and coalescence. Eng. Comp. 10:1993;409-421.
2. Bertsekas D.P. Projected Newton methods for optimization problems with simple constraints. SIAM J. Con. Opt. 20(2):1982;221-246.
3. Chu C., Needleman A. Void nucleation effects in biaxially stretched sheets. J. Eng. Mater. Technol. 102:1980;249.
4. Eterovic A.L., Bathe K.J. A hyperelastic based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using the logarithmic stress and strain measures. Int. J. Num. Meth. Eng. 30:1990;1099-1114.
5. Gurson A.L. Continuum theory of ductile rupture by void nucleation and growth - I. Yield criteria and flow rules for porous ductile media. Engng. Materials Technol. 99:1977;2-15.
6. Hancock J.W., Mackenzi A.C. On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states. J. Mech. Phy. Solids. 24:1976;147-169.
7. Johansson M., Mahnken R., Runesson K. Efficient integration for generalized viscoplasticity coupled to damage. Int. J. Num. Meth. Eng. 44:1999;1727-1747.
8. Mahnken, R. 1999. A comprehensive study of a multiplicative elastoplasticity model coupled to damage including parameter identification. Comp. & Structures, in press.
9. Mahnken R., Stein E. Parameter identification of viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations. Int. J. Plast. 12(4):1996;451-479.
10. Mahnken R., Stein E. A unified approach for parameter identification of inelastic material models in the frame of the finite element method. Comp. Meths. Appl. Mech. Eng. 136:1996;225-258.
11. Mahnken R., Stein E. Parameter identification for finite deformation elasto-plasticity in principal directions. Comp. Meths. Appl. Mech. Eng. 147:1997;17-39.
12. Miehe C. Computation of isotropic tensor functions. Communications in Applied Numerical Methods. 9:1993;889-896.
13. Simo J.C. Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory. Comp. Meths. Appl. Mech. Eng. 99:1992;61-112.
14. Simo, J.C., Hughes, T.J.R., 1998. Computational Inelasticity. Interdisciplinary Applied Mathematics, Vol. 7, Mechanics and Materials. Springer-Verlag.
15. Simo J.C., Miehe C. Associative coupled thermoplasticity at finite strains: formulation, numerical analysis and implementation. Comp. Meths. Appl. Mech. Eng. 98:1992;41-104.
16. Steglich D., Brocks W. Micromechanical modelling of the behaviour of ductile materials including particles. Comp. Mat. Sc. 9:1997;7-17.
17. Steinmann P., Miehe Ch., Stein E. Comparison of different finite deformation inelastic damage models within multiplicative plasticity for ductile materials. Int. J. Comp. Mech. 13:1993;458-474.
18. Thomason P.F. Ductile Fracture of Metals. 1990;Pergamon Press, Oxford.
19. Tvergaard V. Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fract. 17:1981;389-407.
20. Tvergaard V., Needleman A. Analysis of the cup-cone fracture in a round tensile bar. Acta Metallurgica. 32:1984;157-169.
21. Weber G., Anand L. Finite deformation constitutive equations and a time integration procedure for isotropic, hyperelastic-viscoplastic solids. Comp. Meths. Appl. Mech. Eng. 79:1990;173-202.