Skip to main content
Log in

Materials with elastic range: A theory with a view toward applications. Part III: Approximate constitutive relations

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Lucchesi, M., & P. Podio-Guidugli, Materials with elastic range: A theory with a view toward applications. Part I. Arch. Rational Mech. Anal. 102, 23–43 (1988).

    Google Scholar 

  2. Lucchesi, M., & P. Podio-Guidugli, Materials with elastic range: A theory with a view toward applications. Part II. Arch. Rational Mech. Anal. 110, 9–42 (1990).

    Google Scholar 

  3. Nagtegaal, J. C., & J. E. De Jong, Some aspects of non-isotropic workhardening in finite strain plasticity, pp. 65–102 of Proc. Workshop on Plasticity of Metals at Finite Strain: Theory, Experiment and Computation, E. H. Lee & R. L. Mallett, Eds., Stanford University, 1983.

  4. Reed, K. W., & S. N. Atluri, Constitutive modeling and computational implementation for finite strain plasticity. Int. J. Plasticity 1, 63–87 (1985).

    Google Scholar 

  5. Lucchesi, M., A. Pagni, & P. Podio-Guidugli, On the choice of convected derivatives and hardening rules in modelling plastic flow of metals, pp. 94–96 of Proceedings of Xth International Congress on Rheology, Vol II, Sydney, 14–19 August 1988. P. H. T. Uhlherr Ed., Australian Society of Rheology, 1988.

  6. Lucchesi, M., & A. Pagni, Approximate constitutive relations for Hadamard-v. Mises ideally plastic materials. To appear in Int. J. Plasticity.

  7. Podio-Guidugli, P., & E. Virga, Transversely isotropic elasticity tensors. Proc. Royal Soc. London A 411, 85–95 (1987).

    Google Scholar 

  8. Owen, D. R., A mechanical theory of material with elastic range. Arch. Rational Mech. Anal. 37, 85–110 (1970).

    Google Scholar 

  9. Truesdell, C., A First Course in Rational Continuum Mechanics. Vol I. New York: Academic Press, 1977.

    Google Scholar 

  10. Lucchesi, M., & P. Podio-Guidugli, On the characterization of plastic loading in the theory of materials with elastic range, pp. 331–334 of Anisotropy and Localization of Plastic Deformation, Proceedings of Plasticity '91: the Third International Symposium on Plasticity and its Current Applications, Grenoble, 12–16 August, 1991. J.-P. Boehler & A. S. Khan Eds., Elsevier Applied Science.

  11. Lucchesi, M., & P. Podio-Guidugli, On the constitutive equations of elastic-plastic materials when the elastic deformations and its time rate are small, pp. 315–318 of Proceedings of Plasticity '89, the Second Inter. Symp. on Plasticity and its Current Applications, Tsu, Japan 31 July – 4 August 1989. Khan, A. S. & M. Tokuda, Eds., Pergamon Press, 1989.

  12. Truesdell, C., & W. Noll, The Non-Linear Field Theories of Mechanics. Handbuch der Physik III/3, S. Flügge, Ed., Berlin, Heidelberg, New York: Springer-Verlag, 1965.

    Google Scholar 

  13. Lucchesi, M., Esistenza e unicità dello sforzo per materiali idealmente plastici soggetti a deformazioni finite. Bollettino U. M. I. 4-B, 1–16 (1990).

  14. Degl'Innocenti, S., C. Padovani & G. Pasquinelli, An improved numerical method to integrate the equation of motion in finite elastoplasticity problems, pp. 335–346 of Proceedings of the 2nd International Conference on Computational Plasticity: Models, Software and Applications, Part I, Barcelona, 18–22 September 1989. D. R. J. Owen, E. Hinton & H. Oñate, Eds., Swansea: Pineridge Press, 1989.

    Google Scholar 

  15. Lee, E. H., R. L. Mallet, & T. B. Wertheimer, Stress analysis for isotropic hardening in finite-deformation plasticity. J. Appl. Mech. 50, 554–560 (1983).

    Google Scholar 

  16. Dafalias, Y., Corotational rates for kinematic hardening at large plastic deformations. J. Appl. Mech. 50, 561–565 (1983).

    Google Scholar 

  17. Lucchesi, M., & P. Podio-Guidugli, Materials with elastic range and the possibility of stress oscillations in pure shear, pp 71–80 of Proceedings of the International Conference on Computational Plasticity: Models, Software & Applications, Part I, Barcelona, 6–10 April 1987. D. R. J. Owen, E. Hinton & H. Oñate, Eds., Swansea: Pineridge Press, 1987.

    Google Scholar 

  18. Prager, W. & P. Hodge, Theory of Perfectly Plastic Solids. New York: Dover, 1968.

    Google Scholar 

  19. Hill, R., The Mathematical of Plasticity. Oxford: Oxford University Press, 1950.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Gianfranco Capriz, with gratitude for his continued encouragement and inspiration

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lucchesi, M., Owen, D.R. & Podio-Guidugli, P. Materials with elastic range: A theory with a view toward applications. Part III: Approximate constitutive relations. Arch. Rational Mech. Anal. 117, 53–96 (1992). https://doi.org/10.1007/BF00375159

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00375159

Keywords

Navigation