The governing parameter method for implicit integration of viscoplastic constitutive relations for isotropic and orthotropic metals

Computational Mechanics

Volumn 19, Issue 2, 1996, Pages 49-57

  Kojic, M ^a  

^a UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; METALS; NONLINEAR EQUATIONS; SHELLS (STRUCTURES); STRESSES; VISCOPLASTICITY;

GOVERNING PARAMETER METHOD; IMPLICIT STRESS INTEGRATION; ISOTROPIC METALS; ORTHOTROPIC METALS; VISCOPLASTIC CONSTITUTIVE RELATIONS;

ALGORITHMS;

EID: 0030283622     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02757783     Document Type: Article

References (22)

1. Cristescu, N. D.; Gioda, G. (Eds.) 1994: Visco-plastic Behaviour of Geomaterials, Springer-Verlag, Wien-New York
2. Hornberger, K.; Stamm, H. 1989: An implicit integration algorithm with projection method for viscoplastic constitutive equations, Int. J. Num. Meth. Engng. 28: 2397-2421
3. Kojic, M.; Bathe, K. J. 1987a: The "effective-stress-function" algorithm for thermo-elasto-plasticity, Int. J. Num. Meth. Engng., 24: 1509-1532
4. Kojic, M.; Bathe, K. J. 1987b: Thermo-elastic-plastic and creep analysis of shell structures, Comp. Structures 26: 135-143
5. Kojic, M. 1992a: An implicit procedure for stress integration of a general anisotropic von Mises material, Proc. COMPLAS III, D. R. J. Owen, E. Hinton and E. Onate, Eds. 263-269
6. Kojic, M.; Vukicevic, M.; Slavkovic. R.; 1992b: An implicit procedure for stress integration in elastic-plastic deformation of the modified cam-clay material, Proc. COMPLAS III, D. R. J. Owen, E. Hinton and E. Onate, Eds. 929-934
7. Kojic, M. 1993a: A General Concept of Implicit Integration of Constitutive Relations for Inelastic Material Deformation (in Serbian), Center Sc. Research, Serbian Ac. Sc. and Arts and Univ. of Kragujevac, Kragujevac, Yugoslavia
8. Kojic, M. 1993b: Implicit stress integration for elastic-plastic deformation of von Mises material with mixed hardening, Theoretical and Applied Mechanics (Yugoslavian) 19: 59-71
9. Kojic, M.; Slavkovic, R.; Grujovic, N.; Vukicevic, M. 1994a: Implicit stress integration algorithm for the modified cam-clay material, Theoretical and Applied Mechanics 20: 95-118
10. Kojic, M.; Slavkovic R.; Zivkovic, M.; Grujovic, N. 1994b: SAN-Program for linear and nonlinear structural analysis, mass and heat transfer, Faculty of Mechanical Engineering, Kragujevac
11. Kojic, M.; Zivkovic, M.; Kojic, A. 1995a.: Elastic-plastic analysis of orthotropic multilayered beam, Computers & Structures, 57: 205-211
12. Kojic, M.; Grujovic, N.; Slavkovic, R.; Kojic, A. 1995b: Solution procedure for elastic-plastic orthotropic multilayered pipe deformation under external load and internal pressure, AIAA Journal 33: 2354-2358
13. Kojic, M.; Begovic, D.; Grujovic, N. 1995c: A computational procedure for implicit stress integration of anisotropic thermo-plastic and/or anisotropic creep constitutive relations of metals, in D. R. J. Owen, L. Onate and E. Hinton (Eds.), Computational Plasticity, Pineridge Press 249-259
14. Kojic, M.; Zivkovic, M.; Grujovic, N.; Slavkovic, R. 1995d: Elastic-plastic analysis of multilayered orthotropic pipe as a beam superelement with deformable cross-section, in D. R. J. Owen, L. Onate. and E. Hinton (Eds.), Computational Plasticity, Pineridge Press 2129-2140
15. Kojic, M.; Slavkovic, R.; Grujovic, N. Zivkovic, M. 1995e: Implicit stress integration procedure for the generalized cap model in soil plasticity, in D. R. J. Owen, L. Onate and E. Hinton (Eds.), Computational Plasticity, Pineridge Press 1809-1820
16. Kojic, M.; 1995f: On the implicit stress integration of viscoplastic constitutive relations by the governing parameter method (GPM), in D. R. J. Owen, L. Onate and E. Hinton (Eds.), Computational Plasticity, Pineridge Press 165-176
17. Kojic, M.; Grujovic, N.; Slavkovic, R.; Zivkovic, M. 1995g: A general anisotropic metal plasticity model-model definition and implicit stress integration procedure, submitted for publication
18. Kojic, M.; Grujovic, N.; Slavkovic, R.; Zivkovic, M. 1995h: A general orthotropic von Mises plasticity material model with mixed hardening - model definition and implicit stress integration procedure, submitted for publication
19. Ortiz, M.; Simo, J. C.; 1986: An analysis of new class of integration algorithms for elastoplastic constitutive relations, Int. J. Num. Meth. Engng. 23, 353-366
20. Simo, J. C.; Taylor, R. L.; 1985: Consistent tangent operators for rate independent elasto-plasticity, Comp. Meth. Appl. Mech. Engng. 48: 101-118
21. Simo, J. C.; Hughes, T. J. R. 1988: Elastoplasticity and Viscoplasticity -Computational Aspects, (manuscript), Stanford University
22. Slavkovic, R.; Zivkovic M.; Kojic, M. 1994: Enhanced 8-node three-dimensional solid 4-node shell elements with incompatible generalized displacements, Comm. Num. Meth. Engng. 10: 699-709