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Measurement and analysis of plane-strain work hardening

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Abstract

A new technique for measurement of plane-strain work hardening has been developed which uses tensile loading and computer analysis for interpretation, and which eliminates the experimental uncertainties of large strain gradients, friction, and out-of-plane bending inherent in the usual plane-strain deformation modes. Plane-strain and tensile work-hardening curves have been measured for 2036-T4 aluminum alloy using several types of sheet specimens. The work-hardening rate in plane strain is lower than that in uniaxial tension. In each case a Voce-type empirical work hardening law represents the data well. Hill’s theories cannot account for these data because the isotropic hardening assumption is violated. A method of analysis was introduced to determine Hill’s newm parameter as a function of strain andm was found to vary from 1.6 to 2.0 in the strain range 0.02 ≤ ε ≤ 0.18.

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References

  1. L. R. Jackson, K. F. Smith, and W. T. Lankford:Metals Technology, technical publication no. 2440, 1948.

  2. R. Hill:Proc. Roy. Soc, 1949, vol. 198, p. 428.

    Article  Google Scholar 

  3. R. Hill:The Mathematical Theory of Plasticity, Clarendon Press, Oxford, 1950.

    Google Scholar 

  4. J. E. Dorn:J. Appl. Phys., 1949, vol. 20, p. 15.

    Article  Google Scholar 

  5. R. von Mises:Göttinger Nachrichten, Math.-Phys. Klasse, p. 582, 1913.

  6. M. Taghvaipour and P. B. Mellor:Proc. Inst. Mech. Eng., 1971, vol. 185, p. 593.

    Google Scholar 

  7. A. N. Bramley and P. B. Mellor:Int. J. Mech. Sci., 1966, vol. 8, p. 101.

    Article  Google Scholar 

  8. R. Pearce:Int. J. Mech. Sci., 1968, vol. 10, p. 995.

    Article  Google Scholar 

  9. R. M. S. B. Horta, W. T. Roberts, and D. V. Wilson:Int. J. Mech. Sci., 1970, vol. 12, p. 231.

    Article  Google Scholar 

  10. M. I. Yousif, J. L. Duncan, and W. Johnson:Int. J. Mech. Sci., 1970, vol. 12, p. 959.

    Article  Google Scholar 

  11. A. N. Bramley and P. B. Mellor:Int. J. Mech. Sci., 1968, vol. 10, p. 211.

    Article  Google Scholar 

  12. D. H. Rogers and W. T. Roberts:Int. J. Mech. Sci., 1968, vol. 10, p. 221.

    Article  Google Scholar 

  13. I. L. Dillamore:J. Phys. D: Appl. Phys., 1974, vol. 1, p. 979.

    Article  Google Scholar 

  14. I. L. Dillamore, P. Mella, and R. J. Hazel:J. Inst. Met., 1972, vol. 100, p. 50.

    CAS  Google Scholar 

  15. I. H. Wilson: Ph.D. Thesis, Univeristy of Manchester, July 1968. Figure reproduced in: J. L. Duncan, J. Kolodziejski, and G. Glover, “Sheet Metal Forming and Energy Conservation”, proceedings of the 9th Biennial Congress of the I.D.D.R.G., Ann Arbor, MI, October 1976, AIME (1976).

  16. U. F. Kocks:J. Eng. Mater. Technol., 1976, vol. 98, p. 76.

    CAS  Google Scholar 

  17. H. Mecking, U. F. Kocks, and H. Fischer:Fourth Int’l Conf. Strength Metals and Alloys, p. 344, Nancy, France, 1976.

    Google Scholar 

  18. U. F. Kocks, H. S. Chen, D. A. Rigney, and R. F. Schaefer:Work Hardening, J. P. Hirthand J. Weertman, eds., p. 151, Gordon and Breach, 1968.

  19. J. V. Laukonis and A. K. Ghosh:Met. Trans. A, 1978, vol. 9A, p. 1849.

    Article  CAS  Google Scholar 

  20. J. E. Hockett:Trans. TMS-AIME, 1967, vol. 239, p. 969.

    CAS  Google Scholar 

  21. A. K. Sachdev: Private communication, Metallurgy Department, General Motors Research Laboratories, January 29, 1979.

  22. D. L. Lloyd, B. D. McLaughlan, and H. Sang:Scr. Met, 1977, vol. 11, p. 297.

    Article  CAS  Google Scholar 

  23. J. Woodthorpe and R. Pearce:Int. J. Mech. Sci., 1970, vol. 12, p. 341.

    Article  Google Scholar 

  24. R. H. Wagoner and N. M. Wang:Int. J. Mech. Sci., 1979, vol. 21. p. 255.

    Article  Google Scholar 

  25. R. Venter, W. Johnson, and M. C. DeMalherbe:Int. J. Mech. Sci., 1971, vol. 13, p. 299.

    Article  Google Scholar 

  26. E. Voce:J. Inst. Met., 1948, vol. 74, pp. 537, 562, and 760;The Engineer, 1953, vol. 195, p. 23;Metallurgia, 1953, vol. 51, p. 219.

    CAS  Google Scholar 

  27. P. B. Mellor and A. Parmer: General Motors Research Laboratories Symposium, Plenum Press (1948), p. 53, 1978.

  28. A. Parmer and P. B. Mellor:Int. J. Mech. Sci., 1978, vol. 20, p. 385.

    Article  Google Scholar 

  29. A. Parmer and P. B. Mellor:Int. J. Mech. Sci., 1978, vol. 20, p. 707.

    Article  Google Scholar 

  30. M. Taghvaipour: Ph.D. Dissertation, University of Birmingham, 1970.

  31. C. de Boor and J. R. Rice: “Cubic Spline Approximation I-Fixed Knots”, Computer Sciences Department TR20, Purdue University, April 1968.

  32. J. H. Hollomon:Trans. AIME, 1945, vol. 162, p. 268.

    Google Scholar 

  33. O. Hoffman and G. Sachs:Introduction to the Theory of Plasticity for Engineers, p. 45, McGraw-Hill, 1953.

  34. H. W. Swift:J. Mech. Phys. Solids, 1952, vol. 1, p. 1.

    Article  Google Scholar 

  35. W. Johnson and P. B. Mellor:Plasticity for Mechanical Engineers, pp. 15 and 194, Van Nostrand, 1962.

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Wagoner, R.H. Measurement and analysis of plane-strain work hardening. Metall Trans A 11, 165–175 (1980). https://doi.org/10.1007/BF02700453

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