User menu

Accès à distance ? S'identifier sur le proxy UCLouvain

Numerical Implementation and Analysis of a Class of Metal Plasticity Models Coupled With Ductile Damage

Primary tabs

Doghri, Issam [UCL]

This paper deals with a class of rate-independent metal plasticity models which exhibit non-linear isotropic hardening, non-linear kinematic hardening (Chaboche-Marquis model) and ductile damage (Lemaitre-Chaboche model). The backward Euler scheme is used to integrate the rate constitutive relations. The non-linear equations obtained are solved by the Newton method. The consistent tangent operator is obtained by exact linearization of the algorithm. Despite the complexity of the constitutive equations, closed-form expressions are derived, without any approximations. Analytical, numerical and experimental results are presented acid discussed.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1995
Language Anglais
Journal information "International Journal for Numerical Methods in Engineering" - Vol. 38, no. 20, p. 3403-3431 (1995)
Peer reviewed yes
Publisher John Wiley & Sons Ltd (W Sussex)
issn 0029-5981
e-issn 1097-0207
Publication status Publié
Affiliation UCL - FSA/MECA - Département de mécanique
Keywords DAMAGE ; PLASTICITY ; FINITE ELEMENTS
Links
  1. . and , ‘A mathematical representation of the multiaxial Baushinger effect’, Report No. RD/B/N731, General Electricity Generating Board, Berkeley Nuclear Laboratoires, 1966.
  2. Ortiz, Int. j. numer. methods eng., 23, 353 (1986)
  3. Ortiz, Int. j. numer. methods eng., 21, 1561 (1985)
  4. Simo, Comput. Methods Appl. Meth. Eng., 48, 101 (1985)
  5. Doghri, Int. j. numer. methods eng., 36, 3915 (1993)
  6. Doghri, Mech. Materials, 19/2–3, 129 (1995)
  7. Lemaitre Jean, Chaboche Jean-Louis, Mechanics of solid materials, ISBN:9781139167970, 10.1017/cbo9781139167970
  8. Lemaitre Jean, A Course on Damage Mechanics, ISBN:9783662027639, 10.1007/978-3-662-02761-5
  9. Chaboche, Int. J. Plasticity, 2, 149 (1986)
  10. Chaboche, Int. J. Plasticity, 5, 247 (1989)
  11. Chaboche, Int. J. Plasticity, 7, 661 (1991)
  12. Chaboche, J. Eng. Mat. Tech., 111, 384 (1989)
  13. Chaboche, J. Eng. Mat. Tech., 111, 409 (1989)
  14. Chaboche, European J. Mech. A: Solids, 10, 101 (1991)
  15. Lemaitre, Comput. Methods Appl. Mech. Eng., 115/3–4, 197 (1994)
  16. Tvergaard, Acta Metallurgica, 32, 157 (1984)
  17. Gurson A. L., Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media, 10.1115/1.3443401
  18. Rousselier, Nucl. Eng. Des., 105, 97 (1987)
  19. Rice, J. Mech. Phys. Solids, 17, 201 (1969)
  20. Halphen, J. Mecanique, 14/1, 39 (1975)
  21. Nguyen, J. Mécanique, 13/2, 321 (1974)
  22. Hill, Math. Proc. Camb. Phil. Soc., 93, 177 (1983)
  23. . and , ‘General return mapping algorithms for rate-independent plasticity’, in et al. (eds.), Constitutive Laws for Engineering Materials: Theory and Applications, Vol. 1, Elsevier, New York, 1987, pp. 221–231.
  24. Aravas, Int. j. numer. methods eng., 24, 1395 (1987)
  25. Benallal, Comm. appl. numer. methods, 4, 731 (1988)
  26. . , and , ‘On strain-based continuum damage models: formulation and computational aspects’, in et al. (eds.), Constitutive Laws for Engineering Materials: Theory and Applications, Vol. 1, Elsevier, New York, 1987, pp. 233–245.
  27. SPECTRUM Solver, Centric Engineering Systems, Inc., Palo Alto, CA, 1993.
  28. . and , ‘Some aspects of non-isotropic workhardening in finite strain plasticity’, in and (eds.), Plasticity of Metals at Finite Strains, Proc. Research Workshop, Stanford University, 1981, pp. 65–102.
  29. Simo, Comput. Methods Appl. Mech. Eng., 99, 61 (1992)
Bibliographic reference Doghri, Issam. Numerical Implementation and Analysis of a Class of Metal Plasticity Models Coupled With Ductile Damage. In: International Journal for Numerical Methods in Engineering, Vol. 38, no. 20, p. 3403-3431 (1995)
Permanent URL http://hdl.handle.net/2078.1/47768