Skip to main content
Log in

Effect of temperature on the flow stress and strain-hardening coefficient of magnesium single crystals

  • Published:
JOM Aims and scope Submit manuscript

Abstract

The initial yield stress and plastic flow characteristics of magnesium single crystals have been investigated by means of incremental creep experiments in tension and direct shear, in the temperature range of 78° to 364°K. It was found that the strain rate, γ̇, could be related to the applied stress, τ, and the temperature, T, by the expression C exp ( Δ H k T ) exp B ( τ h γ ) , where B and C are constants, h is the strain-hardening coefficient, γ is the strain, and ΔH is an activation energy equal to 10.3 kcal per g atom. The strain-hardening coefficient was constant in the temperature range of 78° to 203°K, but decreased at higher temperatures; the decrease is attributable to recovery. The constant coefficient, in the absence of recovery, is consistent with the idea that strain hardening in hexagonal crystals is associated with the elastic interaction of accumulated dislocations.

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. R. Becker: Physikalische Ztsch., 1925, vol. 26, p. 919.

    Google Scholar 

  2. E. Orowan: Ztsch. für Physik, 1934, vol. 89, pp. 605, 614, 634.

    Article  Google Scholar 

  3. W. Kauzmann: AIME Trans., 1941, vol. 143, p. 57; Metals Technology, June 1941.

    Google Scholar 

  4. A. H. Cottrell and B. A. Bilby: Proceedings Physical Soc., 1949, vol. 62A, p. 49.

    Article  Google Scholar 

  5. A. H. Cottrell: Journal of Mechanics and Physics of Solids, 1952, vol. 1, p. 53.

    Article  Google Scholar 

  6. A. Seeger: Philosophical Magazine, 1954, vol. 45, p. 771.

    Article  Google Scholar 

  7. A. Seeger: Ztsch. für Naturforschung, 1954, vol. 9a, pp. 758, 810, 856.

    Google Scholar 

  8. J. C. Fisher: ASM Trans., 1955, vol. 47, p. 451.

    Google Scholar 

  9. J. E. Dorn: Journal of Mechanics and Physics of Solids, 1954–1955, vol. 3, p. 85.

    Article  Google Scholar 

  10. G. Masing and J. Raffelsieper: Ztsch. für Metallkunde, 1950, vol. 41, p. 65.

    Google Scholar 

  11. P. Haasen and G. Leibfried: Ztsch. für Metallkunde, 1952, vol. 43, p. 317.

    Google Scholar 

  12. G. Masing and H. Weik: Ztsch. für Metallkunde, 1954, vol. 45, p. 417.

    Google Scholar 

  13. M. Bauser and U. Dehlinger: Ztsch. für Metallkunde, 1954, vol. 45, p. 618.

    Google Scholar 

  14. P. W. Neurath and J. S. Koehler: Journal of Applied Physics, 1951, vol. 22, p. 621.

    Article  Google Scholar 

  15. A. H. Cottrell and R. T. Stokes: Proceedings Royal Soc., London, 1955, vol. 233, p. 17.

    Google Scholar 

  16. M. A. Adams and A. H. Cottrell: Philosophical Magazine, 1955, vol. 46, p. 1187.

    Article  Google Scholar 

  17. A. B. Greninger: AIME Trans., 1936, vol. 122, p. 74.

    Google Scholar 

  18. A. H. Cottrell and V. Aytekin: Journal Institute of Metals, 1950, vol. 77, p. 389.

    Google Scholar 

  19. K. Bausch: Ztsch. für Physik, 1935, vol. 93, p. 479.

    Article  Google Scholar 

  20. E. Schmid and W. Boas: Plasticity of Crystals. Translated by F. A. Hughes and Co., London, 1950.

  21. E. Schmid: Ztsch. für Elektrochemie, 1931, vol. 37, p. 447.

    Google Scholar 

  22. E. C. Burke and W. R. Hibbard: AIME Trans., 1952, vol. 194, p. 295; Journal of Metals, March 1952.

    Google Scholar 

  23. A. S. Nowick: Acta Metallurgica 1955, vol. 3, p. 312.

    Article  Google Scholar 

  24. B. Chalmers: Proceedings Royal Soc., London, 1936, vol. 156A, p. 427.

    Article  Google Scholar 

  25. D. Krashes and A. A. Burr: The Creep Behavior of Magnesium Single Crystals at Room and Elevated Temperatures. Ordnance Project No. TB4-15 D11. Rensselaer Polytechnic Inst., Troy, N. Y., 1954.

  26. P. W. Bakarian and C. H. Mathewson: AIME Trans., 1943, vol. 152, p. 226; Metals Technology, April 1943.

    Google Scholar 

  27. R. R. Nash and W. F. Sheely: Properties of Magnesium and Magnesium Alloy Crystals at Room Temperature. Ordance Project No. TB 4–15 D-9. Rensselaer Polytechnic Inst., Troy, N. Y., 1954.

  28. S. S. Hsu and B. D. Cullity: AIME Trans., 1954, vol. 200, p. 305; Journal of Metals, February 1954.

    Google Scholar 

  29. J. H. Bechtold: AIME Trans., 1953, vol. 197, p. 1469; Journal of Metals, November 1953.

    Google Scholar 

  30. A. H. Cottrell: Dislocations and Plastic Flow in Crystals, p. 157. Clarendon Press. Oxford, 1953.

    MATH  Google Scholar 

  31. W. Boas and E. Schmid: Ztsch. für Physik, 1930, vol. 61, p. 767.

    Article  Google Scholar 

  32. W. Fahrenhorst and E. Schmid: Ztsch. für Physik, 1930, vol. 64, p. 845.

    Article  Google Scholar 

  33. E. H. Edwards, J. Washburn, and E. R. Parker: AIME Trans., 1953, vol. 197, p. 1525; Journal of Metals, November 1953.

    Google Scholar 

  34. R. Drouard, J. Washburn, and E. R. Parker: AIME Trans., 1953, vol. 197, p. 1226; Journal of Metals, September 1953.

    Google Scholar 

  35. C. H. Li, J. Washburn, and E. R. Parker: AIME Trans., 1953, vol. 197, p. 1223; Journal of Metals, September 1953.

    Google Scholar 

  36. P. Ludwick: Physikalische Ztsch., 1909, vol. 10, p. 411.

    Google Scholar 

  37. F. Rosi and C. H. Mathewson: AIME Trans., 1950, vol. 188, p. 1163; Journal of Metals, September 1950.

    Google Scholar 

  38. P. G. Shewmon: AIME Trans., 1956, vol. 206, p. 918; Journal of Metals, August 1956.

    Google Scholar 

  39. W. Köster: Ztsch. für Metallkunde, 1948, vol. 39, p. 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

TP 4422E. Manuscript, Sept. 14, 1956. New Orleans Meeting, February 1957.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Conrad, H., Robertson, W.D. Effect of temperature on the flow stress and strain-hardening coefficient of magnesium single crystals. JOM 9, 503–512 (1957). https://doi.org/10.1007/BF03397908

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03397908

Navigation