The flow stress anisotropy of cold rolled metal sheets has been modelled based on the deformation induced extended dislocation boundaries – geometrically necessary boundaries (GNBs) being the main cause of the anisotropy. The GNBs are modelled as barriers to glide dislocations, yielding a resistance to dislocation passage proportional to their angle of misorientation and inversely proportional to the square root of the boundary spacing. Good agreement between model and experiment is demonstrated for the flow stress anisotropy and the absolute flow stress of commercial purity aluminium prestrained by rolling to three different reductions in thickness.
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