Skip to main content
Log in

On theR-value measurements

  • Published:
Metallurgical Transactions A Aims and scope Submit manuscript

Abstract

The plastic strain ratio,r, of a 1.2 mm (0.048 inch) thick AKDQ steel sheet has been determined by both the conventional indirect method and the direct method advanced in the present investigation. In the indirect method, the measured data were ε1, and ε2 and a linear relationship was observed between these two variables. By linear regression analysis of this relationship, the experimental scatter inr could thus be evaluated. In the direct method, the measured data were ε2 and ε3, the thickness strain, ε3, being calculated from the measured weight difference of two identically prepared wafers “before” and after straining. It was also observed that ε2 varied linearly with ε3. To facilitate the experimental determination, a slightly tapered specimen capable of generating a set of experimental data was used in both methods. The experimental results showed that the strong dependence of rm on ε1 strain observed using the indirect method was greatly reduced or even eliminated within experimental scatter using the direct method. Experimental scatter inr could be reduced by a factor of 3 using the direct method in comparison with that using the indirect method. The determinedr-values are as follows: At ε1 = 0.25 Direct Method Indirect Method 0 deg Orientation 1.76 ± 0.04 1.82 ± 0.12 45 deg Orientation 1.26 ± 0.02 1.24 ± 0.07 90 deg Orientation 2.17 ± 0.04 2.15 ± 0.19 •rm 1.61 ± 0.03 1.61 ± 0.11

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. W. T. Lankford, S. C. Snyder, and J. A. Bauscher:Trans. ASM, 1950, vol. 42, p. 1197.

    Google Scholar 

  2. J.L. Duncan, E. Coni, and W. Johnson:J. Aust. Inst. Met., 1967, vol. 12, p. 127.

    Google Scholar 

  3. R.S. Bumsand R.H. Heyer:Sheet Metal Iid., 1958,vol. 35, p. 372.

    Google Scholar 

  4. M. Atkinson:Sheet Metal Ind., 1967, vol. 44, p. 167.

    Google Scholar 

  5. L. J. Owen, M. P. Sidey, and M. Atkinson:Sheet Metal Ind., 1971, vol. 48, p. 452.

    Google Scholar 

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

    Article  Google Scholar 

  7. H. Hu:Metall. Trans. A, 1975, vol. 6A, p. 945 and p. 2307.

    CAS  Google Scholar 

  8. R. Hill:The Mathematical Theory of Plasticity, Clarendon Press, Oxford, p. 321.

  9. A. Nadai:Theory of Flow and Fracture of Solids, McGraw-Hill Book Co., New York, NY, 1950, p. 79.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, Y.C. On theR-value measurements. Metall Trans A 14, 1199–1205 (1983). https://doi.org/10.1007/BF02659867

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02659867

Keywords

Navigation