Yield Surfaces of Pure Aluminum at Elevated Temperatures

  • Aris Phillips
Part of the IUTAM Symposia book series (IUTAM)


Results of experiments are presented in which thin-walled tubes of pure aluminum are loaded in combined tension and torsion, in the plastic range, at room temperature and at elevated temperatures to 325°F. Yield surfaces in stress-space are obtained at several temperatures for the virgin material and for the material prestrained in torsion to three different levels of prestraining. It is shown that no cross effect exists at all tested temperatures and levels of prestressing. It is also shown that the yield surfaces do not pass through the prestressing point. The paper ends with an analytical evaluation of the experimental results.


Plastic Strain Yield Surface Pure Aluminum Yield Curve Stress Path 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Smith, G. V.: Stress-Strain-Time-Temperature Relations in Metallic Materials. In: ASTM Special Technical Publication No. 325. Amer. Soc. Testing Materials, pp. 35–59 (1962).Google Scholar
  2. [2]
    Lubahn, J. D.: Deformation Phenomena. In: Mechanical Behavior of Materials at Elevated Temperatures (J. E. Porn, Editor), pp. 319–392. New York: McGraw Hill Book Co. 1961.Google Scholar
  3. [3]
    ugh, H. L. D., S. S. Chang, and B. E. Hopkins: Tensile Properties of a High Purity Iron from -196°C to200°C at Two Rates of Strain. Phil. Mag. 9, 753 to 768 (1963).Google Scholar
  4. [4]
    Phillips, A., C. S. Liu, and J. W. Justusson: An Experimental Investigation of Yield Surfaces at Elevated Temperatures. (To be published).Google Scholar
  5. [5]
    Mair, W. U., and H. L. D. Pugh: Effect of Prestrain on Yield Surfaces in Copper. J. Mech. Eng. Science 6, 150–163 (1964).CrossRefGoogle Scholar
  6. [6]
    Sierakowski, R. L., and A. Phillips: The Effect of Repeated Loading on the Yield Surface. Acta Mechanica 6, 217–231 (1968).CrossRefGoogle Scholar
  7. [7]
    Justusson, J. W., and A. Phillips: An Experimental Investigation on Yield Surfaces. (To be published).Google Scholar
  8. [8]
    Ivey, H. J.: Plastic Stress-Strain Relations and Yield Surfaces for Aluminum Alloys. J. Mech. Eng. Science 8, 15–31 (1961).CrossRefGoogle Scholar
  9. [9]
    Naghdi, P. M., F. Essenbtjrg, and W. Koff: An Experimental Study of Initial and Subsequent Yield Surfaces in Plasticity. J. Appl. Mech. 25, 120 to 209 (1958).Google Scholar
  10. [10]
    Green, A. E., and P. M. Naghdi: A General Theory of an Elastic-Plastic Continuum. Arch. Rat. Mech. Anal. 18, 251–281 (1965).MathSciNetMATHCrossRefGoogle Scholar
  11. [11]
    Phillips, A., and M. A. Eisenberg: Observations on Certain Inequality Conditions in Plasticity. Int. J. Non-Linear Mechanics 1, 247–256 (1966).ADSCrossRefGoogle Scholar
  12. [12]
    Prager, W.: Recent Developments in the Mathematical Theory of Plasticity. J. Appl. Phys. 20, 235–241 (1949).MathSciNetADSMATHCrossRefGoogle Scholar
  13. [13]
    Hodge, P., and W. Prager: A Variational Principle for Plastic Materials with Strain Hardening. J. Math. Phys. 27, 1–10 (1948).MathSciNetMATHGoogle Scholar
  14. [14]
    Phillips, A., and R. L. Sierakowski: On the Concept of the Yield Surface. Acta Mechanica 1, 29–35 (1965).MATHCrossRefGoogle Scholar
  15. [15]
    Justusson, J. W., and A. Phillips: Stability and Convexity in Plasticity. Acta Mechanica 2, 251–267 (1966).CrossRefGoogle Scholar
  16. [16]
    Eisenberg, M. A., and A. Phillips: A Theory of Plasticity with Non-Coincident Yield and Loading Surfaces. (To be published).Google Scholar

Copyright information

© Springer-Verlag/Wien 1970

Authors and Affiliations

  • Aris Phillips
    • 1
  1. 1.New HavenUSA

Personalised recommendations