The Bauschinger effect was measured by tension-compression tests for single crystals of Al-1.2%Si and Al-0.6% Si alloys containing silicon particles to estimate the contribution of mean internal stress due to Orowan loops to the work-hardening.
The crystals aged to contain silicon particles showed a pronounced Bauschinger effect. The reverse flow curves (compression) after tension showed in general an initial region of rapid work-hardening, subsequently a region of nearly linear and low work-hardening and finally a region of a parabolic work-hardening, as seen in Cu–Al
2O
3 alloy. However, when the crystals with small particles (2
R\lesssim30 nm) were deformed by a small amount of strain in pre-straining, the reverse stress-strain curve showed a sharp convex curvature in the region of rapid work-hardening, which was associated with the inhomogeneous deformation in pre-straining by a small amount of strain.
The mean internal stress estimated from the Bauschinger effect increased initially with pre-strain, in reasonable agreement with the theoretical mean internal stress due to Orowan loops until a critical strain, ε
c, and then appeared to saturate with increasing pre-strain. This explained the most part of work-hardening in a region of strains below a critical strain, ε
s. With increasing pre-strain above the ε
s, the contribution of forest hardening became progressively important.
The ε
c and ε
s, which were considered a measure of critical strain for the plastic relaxation and for the forest hardening respectively, increased with decreasing mean particle size. In a range of large particle size (2
R\gtrsim30 nm), ε
c=3
b⁄
R (
b: Burgers vector,
R: mean particle radius). As the particle radius became smaller than 30 nm, the ε
c, appeared to approach a limit of about 0.06. Such particle size dependence of the ε
c was discussed in terms of the plastic relaxation due to the secondary dislocation generation as well as due to cross-slip of Orowan loops.
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