Abstract
EXPERIMENTS on a number of body-centred cubic transition metals1 have shown that, above the ductile–brittle transition temperature, the yield stress, σy, varies with the average grain diameter, 2d, according to the relation: 
Below the transition temperature, the brittle fracture stress, σf, is related to the grain size by the similar relation: 
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References
Johnson, A. A., J. Less-Common Metals, 2, 241 (1960).
Cottrell, A. H., Trans. Met. Soc. Amer. Inst. Mech. Eng., 212, 192 (1958).
Wronski, A. S., and Johnson, A. A. (unpublished results).
Vaughan, H. G., and Rose, R. G., Atomic Energy Authority Rep. IGR/TN/C–583 (1958).
Campbell, J. D., and Harding, J. (private communication).
Hull, D., and Mogford, I. L., Phil. Mag., 3, 1213 (1958).
Johnson, A. A., Phil. Mag., 5, 413 (1960).
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JOHNSON, A. Theory of the Deformation and Fracture of Body-centred Cubic Transition Metals. Nature 189, 826–827 (1961). https://doi.org/10.1038/189826b0
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DOI: https://doi.org/10.1038/189826b0
