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the effect of carbon content of the mechanical properties - McMaster ...

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M.A.Sc. Thesis – E. E. Yang <strong>McMaster</strong> – Materials Science & Engineering<br />

relatively constant with decreasing grain size. The smaller grains had a higher yield<br />

strength as described by <strong>the</strong> Hall-Petch equation, where <strong>the</strong> strength is inversely<br />

proportional to <strong>the</strong> root <strong>of</strong> <strong>the</strong> grain diameter (Equation 2.4) (Bouaziz 2008).<br />

a)<br />

Figure 2.21 Effect <strong>of</strong> Grain Size on a) Tensile Behaviour (Bouaziz 2008) b) Twinning<br />

Stress (Gutierrez-Urrutia 2010)<br />

b)<br />

(2.4)<br />

An observation <strong>of</strong> Gutierrez-Urrutia et al. (Gutierrez-Urrutia 2010) was that grain<br />

refinement does not suppress deformation twinning or <strong>the</strong> TWIP <strong>effect</strong>. As grain size<br />

decreased to 3 μm, deformation transformation became more difficult but was not<br />

completely suppressed. Considering both SFE and grain size, and <strong>the</strong> <strong>effect</strong> on twinning<br />

(twinning stress), <strong>the</strong> smaller grain size had a higher twinning stress compared to <strong>the</strong><br />

larger grain size (Figure 2.21b). The SFE contribution to <strong>the</strong> twinning stress was larger<br />

than <strong>the</strong>ir grain size factor to <strong>the</strong> twinning stress. Large grain sizes had a significantly<br />

smaller grain size contribution to <strong>the</strong> overall twinning stress and smaller grain sizes had a<br />

twinning stress contribution similar to <strong>the</strong> SFE contribution (Gutierrez-Urrutia 2010).<br />

25

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