The Al-Zn eutectoid-base alloys having, equiaxed, initial grain sizes from 0.14 to 3.03μm were deformed in tension at temperatures from 213 to 523 K at different strain-rates. The following five deformation regions were found: a region where cavitation predominates and superplasticity is weak; a region where superplasticity arises; a conventional deformation region where the Hall-Petch relation holds; a transition region from the superplastic to the conventional region; a brittle fractural region. By partitioning these regions on temperature vs. grain size, and, tensile stress vs. grain size diagrams, deformation-mechanism maps were made, which could clearly show the extent of temperature, grain size and strain-rate or stress where the superplasticity arises. There exists a grainsize L
m where the tensile stress σ
uy takes a minimum value σ
m in a ultrafine grain region, in which the grain-size dependence of the stress was expressed as: σ
uy = aL
-1/2+bL = (σ
m/3)(2L
3/2m+L
3/2)/L
1/2L
m, where a = (6.73γ
BG)
1/2 and b = (G/b){(εRT/AGbD
0)exp(U/RT)}
1/n, where γ
B is a surface energy of the cavity and the other symbols have conventional meanings. On the other hand, the Hall-Petch relation held in a coarse grain region.
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