An algorithm based on total-elastic-incremental-plastic strain for large deformation plasticity

Journal of Materials Processing Technology

Volumn 86, Issue 1-3, 1998, Pages 190-199

  Ramakrishnan, N ^a   Singh, Krishna M ^a   Suresh, R K V ^a   Srinivasan, N ^a  

^a DEFENCE METALLURGICAL RESEARCH LABORATORY   (India)

Author keywords

Constitutive relation; Finite strain elasto plasticity; Finite element simulation; Large deformation

Indexed keywords

COMPUTER SIMULATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; STRAIN; STRESS ANALYSIS;

CAUCHY STRESS; TOTAL-ELASTIC-INCREMENTAL-PLASTIC STRAIN;

PLASTIC DEFORMATION;

EID: 0033078576     PISSN: 09240136     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0924-0136(98)00310-0     Document Type: Article

References (27)

1. Malvern L.E. Introduction to the Mechanics of a Continuous Medium. 1969;Prentice-Hall, Englewood Cliffs, NJ.
2. Bathe K.J., Wilson E.L. Numerical Methods in Finite Element Analysis. 1976;Prentice-Hall, Englewood Cliffs, NJ.
3. Lubliner J. Plasticity Theory. 1990;Macmillan, New York.
4. Rowe G.W., Sturgess C., Hartley P.H., Pillinger I. Finite Element Plasticity and Metal Forming Analysis. 1991;Cambridge University Press, Cambridge, UK.
5. Hughes T.J.R., Winget J. Finite rotation effects in numerical integration of rate constitutive equations arising in large deformation analysis. Int. J. Numer. Methods Eng. 15:1980;1862-1867.
6. Pinsky P.M., Ortiz M., Pister K.S. Numerical integration of rate constitutive equations in finite deformation analysis. Comput. Methods Appl. Mech. Eng. 40:1983;137-158.
7. Nemat-Nasser S., Li Y.-F. A new explicit algorithm for finite deformation elastoplasticity and elastoviscoplasticity: Performance evaluation. Comput. Struct. 44:1992;937-963.
8. Li Y.-F., Nemat-Nasser S. An explicit integration scheme for finite deformation plasticity in finite element methods. Finite Elem. Anal. Des. 15:1993;93-102.
9. Wang L.H., Atluri S.N. An analysis of an explicit algorithm and the radial return algorithm, and a proposed modification in finite plasticity. Comput. Mech. 13:1994;380-389.
10. Gabriel G., Bathe K.J. Some computational issues in large strain elasto-plastic analysis. Comput. Struct. 56:1995;249-267.
11. Simo J.C., Ortiz M. A unified approach to finite strain elastoplastic analysis based on the use of hyperelastic constitutive equations. Comput. Methods Appl. Mech. Eng. 9:1984;221-245.
12. Simo J.C. A framework for finite strain elastoplasticity based on maximum plastic dissipation and multiplicative decomposition: Part I. continuum formulation. Comput. Methods Appl. Mech. Eng. 66:1988;199-219.
13. Simo J.C. A framework for finite strain elastoplasticity based on maximum plastic dissipation and multiplicative decomposition: Part II. Computational aspects. Comput. Methods Appl. Mech. Eng. 68:1988;1-31.
14. Moran B., Ortiz M., Shih C.F. Formulation of implicit finite element methods for multiplicative finite deformation plasticity. Int. J. Numer. Methods Eng. 29:1990;483-514.
15. Eterovic A.L., Bathe K.J. A hyperelastic-based large strain elasto-plastic constitutive formulation with combined isotropic-kinematic hardening using logarithmic stress and strain measures. Int. J. Numer. Methods Eng. 30:1990;1099-1114.
16. Weber G., Anand L. Finite deformation constitutive equations and a time integration procedure for isotropic hyperelastic-viscoplastic solids. Comput. Methods Appl. Mech. Eng. 79:1990;173-202.
17. Simo 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;6-112.
18. Perić D., Owen D.R.J., Honnor M.E. A model for finite strain elasto-plasticity based on logarithmic strains: Computational issues. Comput. Methods Appl. Mech. Eng. 94:1992;35-61.
19. L. Prandtl, Spannungverteilung in plastischen koerpern, in: Proceedings of the First International Congress on Applied Mechanics, Delft, 1924, pp. 43-54.
20. Reuss E. Beruecksichtigung der elastischen formaendungen in der plasizitaetstheory. Z. Angew. Math. Mech. 10:1930;266-274.
21. N. Ramakrishnan, On the material rotation in directionally preferred deformation, to be published.
22. Burke M.A., Nix W.D. A numerical study of necking in the plane tension test. Int. J. Solids Struct. 15:1979;379-393.
23. Okada H., Rajiyah H., Atluri S.N. A full tangent stiffness field-boundary-element formulation for geometric and material non-linear problems of solid mechanics. Int. J. Numer. Methods Eng. 29:1990;15-35.
24. Norris D.M. Jr., Moran B., Scudder J.K., Quinones D.F. A computer simulation of the tension test. J. Mech. Phys. Solids. 26:1978;1-19.
25. V. DePierre, F. Gurney, J. Male, Mathematical Calibration of the Ring Test with Bulge Formation, Technical Report AFML-TR-72-37, AFML, 1972.
26. Ramakrishnan N., Ghantasala S., Kutumba Rao V.V. An algorithm to incorporate friction in finite element analysis (FEM) of metal working. J. Mater. Process. Technol. 23:1990;311-319.
27. N. Srinivasan, N. Ramakrishnan, Finite element simulation of turbine disk forging, to be published.