On the numerical integration of a class of pressure-dependent plasticity models including kinematic hardening

Computational Mechanics

Volumn 31, Issue 6, 2003, Pages 479-488

  Mulich U ^a   Brocks, W ^b  

^a DEPARTAMENTO DE FÍSICA   (Chile)

^b INSTITUTE OF MATERIALS RESEARCH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; CONTINUUM MECHANICS; DIFFERENTIATION (CALCULUS); HARDENING; INTEGRATION; ITERATIVE METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PRESSURE; STRAIN;

GURSON TYPE MODEL; KINEMATIC HARDENING; NEWTON ITERATION; PRESSURE DEPENDENT PLASTICITY MODELS;

ELASTOPLASTICITY;

EID: 0142122531     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-003-0454-z     Document Type: Article

References (15)

1. Simo JC, Taylor RL (1985) Consistent tangent operators for rate-independent elastoplasticity. Comput. Meth. Appl. Mech. Eng. 48: 101-118
2. Hartmann S, Lührs G, Haupt P (1997) An efficient stress algorithm with applications in viscoplasticity and plasticity. Int. J. Numer. Meth. Eng. 40: 991-1013
3. Aravas N (1987) On the numerical integration of a class of pressure-dependent plasticity models. Int. J. Numer. Meth. Eng. 24: 1395-1416
4. Hibbit, Karlsson, & Sorensen, Inc. (1998) ABAQUS manuals Version 5.8
5. Hughes TJR, Winget J (1980) Finite rotation effects in numerical integration of rate constitutive equations arising in large deformation analysis. Int. J. Numer. Meth. Eng. 15: 1862-1867
6. Diegele E, Jansohn W, Tsakmakis Ch (2000) Finite deformation plasticity and viscoplasticity laws exhibiting nonlinear hardening rules. Comput. Mech. 25: 1-12
7. Svendson B, Arndt S, Klingbeil D, Sievert R (1998) Hyperelastic models for elastoplasticity with non-linear isotropic and kinematic hardening at large deformations. Int. J. Solids Struct. 35: 3363-3389
8. Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: part I - yield criteria and flow rules for porous ductile media. J. Eng. Mater. Technol. 99: 2-15
9. Tvergaard V (1981) Influence of voids on shear band instabilities under plane strain conditions. Int. J. Fract. 17: 389-407
10. Tvergaard V, Needleman A (1984) Analysis of the cup-cone fracture in a round tensile bar. Acta Metall. 32: 157-169
11. Leblond JB, Perrin G, Devaux J (1995) An improved Gurson-type model for hardenable ductile metals. European J. Mech. A 14: 499-528
12. Devaux J, Gologanu M, Leblond JB, Perrin G (1995) On continued void growth in ductile metals subjected to cyclic loadings. In: Willis J (ed.), IUTAM Symposium on Nonlinear Analysis of Fracture. Kluwer Academic Publishers
13. Chu CC, Needleman A (1980) Void nucleation effects in biaxially streched sheets. J. Eng. Mater. Technol. 102: 249-256
14. Arndt S (2000) Modellierung der Warmvorbelastung mit einem Schädigungsmodell für kombinierte Verfestigung am Beispiel des Werkstoffs 10MnMoNi5-5 Universität Magdeburg, Diss.
15. Lemaitre J, Chaboche JL (1990) Mechanics of Solid Materials, Cambridge University Press