Journal of Materials Science

, Volume 42, Issue 14, pp 5815–5825 | Cite as

A theoretical description of large viscoplastic shear deformation in metals

  • G. Spathis


In this work, a new 3-dimensional viscoplastic model based on a previous plasticity theory is presented. The proposed constitutive model anticipates the contribution of the main features of plastic behavior, such as yielding, rate effect, isotropic and kinematic hardening, through a new approximation of the constitutive equation with a viscoplastic term, as well as a new consideration of the functional form of the rate of plastic deformation. A high accuracy simulation of shear experimental data at various rates and temperatures for a variety of materials, as well as the sign inversion of normal stress has been postulated.


Plastic Behavior Kinematic Hardening Torsion Test Velocity Gradient Tensor Plastic Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    Lee EH (1969) J Appl Mech 36:1Google Scholar
  2. 2.
    Rubin MB (1994) Int J Solids Struct 31:2615CrossRefGoogle Scholar
  3. 3.
    Rubin MB (1994) Int J Solids Struct 31:2635CrossRefGoogle Scholar
  4. 4.
    Eckart C (1948) Phys Rev 73:373CrossRefGoogle Scholar
  5. 5.
    Besseling JF (1968) In: Parkus, Sedov LI (eds) Proc IUTAM symposium on irreversible aspects of continuum mechanics, Vienna, pp 16Google Scholar
  6. 6.
    Mandel J (1992) Int J Solids Struct 9:725CrossRefGoogle Scholar
  7. 7.
    Dafalias YF (1983) J Appl Mech ASME 50:561CrossRefGoogle Scholar
  8. 8.
    Dafalias YF (1985) J Appl Mech ASME 52:865CrossRefGoogle Scholar
  9. 9.
    Dafalias YF (1987) Acta Mech 69:119CrossRefGoogle Scholar
  10. 10.
    Dafalias YF (1988) Acta Mech 73:121CrossRefGoogle Scholar
  11. 11.
    Dafalias YF (1998) Int J Plast 14:909CrossRefGoogle Scholar
  12. 12.
    Cho HW, Dafalias YF (1996) Int J Plast 12:903CrossRefGoogle Scholar
  13. 13.
    Montheillet F, Cohen M, Jonas JJ (1984) Acta Metall 32:2077CrossRefGoogle Scholar
  14. 14.
    Shames IH, Cozzarelli FA (1992) Elastic and inelastic stress analysis, ch. 8. Prentice Hall Int, LondonGoogle Scholar
  15. 15.
    Goddard JD, Miller C (1966) Rheol Acta 5:177CrossRefGoogle Scholar
  16. 16.
    Spathis G, Kontou E (2001) J Appl Pol Sci 79:2534CrossRefGoogle Scholar
  17. 17.
    Spathis G, Kontou E (2001) Pol Eng Sci 41(8):1337CrossRefGoogle Scholar
  18. 18.
    Cohen M (1983) Thesis, Ecole des Mines de Paris, FranceGoogle Scholar
  19. 19.
    Wolfram S (1993) Mathematica, a system for doing mathematics by computer, 2nd edn. Wolfram Research, NYGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.School of Applied Mathematical and Physical Sciences, Section of MechanicsNational Technical University of AthensAthensGreece

Personalised recommendations