Skip to main content
Log in

Calculated hardening, softening and perfectly plastic responses of a special class of materials

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

A special set of constitutive equations is used to calculate possible hardening, softening and perfectly plastic responses under a combination of shearing stress and pressure.

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.

Similar content being viewed by others

References

  1. Casey, J., Naghdi, P. M.: On the characterization of strain-hardening in plasticity. J. Appl. Mech.48, 285–296 (1981).

    Google Scholar 

  2. Casey, J., Naghdi, P. M.: A remark on the definition of hardening, softening and perfectly plastic behavior. Acta Mechanica48, 91–94 (1983).

    Google Scholar 

  3. Casey, J., Lin, H. H.: Strain-hardening topography of elastic-plastic materials. J. Appl. Mech.50, 795–801 (1983).

    Google Scholar 

  4. Naghdi, P. M., Trapp, J. A.: The significance of formulating plasticity theory with reference to loading surfaces in strain space. Int. J. Engng. Sci.13, 785–797 (1975).

    Google Scholar 

  5. Green, A. E., Naghdi, P. M.: A general theory of an elastic-plastic continuum. Arch. Ration. Mech. Anal.18, 251–281 (1965).

    Google Scholar 

  6. Green, A. E., Naghdi, P. M.: A thermodynamic development of elastic-plastic continua. Proc. IUTAM symp. on irreversible aspects of continuum mechanics and transfer of physical characteristics in moving fluids (Parkus, H., Sedov, L. I., eds.), 117–131. Wien-New York: Springer 1966.

    Google Scholar 

  7. Casey, J., Naghdi, P. M.: Strain-hardening response of elastic-plastic materials. In: Mechanics of engineering materials. (Int. conf. on constitutive laws for engineering materials: theory and application, Tucson, Arizona, 10–14 January 1983.) J. Wiley. (To appear.)

  8. Casey, J., Jahedmotlagh, H.: The strength-differential effect in plasticity. Int. J. Solids Structures (in press).

  9. Green, A. E., Naghdi, P. M.: A comment on Drucker's postulate in the theory of plasticity. Acta Mechanica1, 334–338 (1965).

    Google Scholar 

  10. Spitzig, W. A., Sober, R. J., Richmond, O.: Pressure dependence of yielding and associated volume expansion in tempered martensite. Acta Met.23, 885–893 (1975).

    Google Scholar 

  11. Tanaka, K., Spretnak, J. W.: An analysis of plastic instability in pure shear in high strength AISI 4340 steel. Met. Trans.4, 443–454 (1973).

    Google Scholar 

  12. Shaw, M. C.: A new mechanism of plastic flow. Int. J. Mech. Sci.22, 673–686 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 5 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Casey, J., Lin, H.H. Calculated hardening, softening and perfectly plastic responses of a special class of materials. Acta Mechanica 51, 49–67 (1984). https://doi.org/10.1007/BF01176388

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01176388

Keywords

Navigation