Other variables ( like composition and grain size) remaining same, does plastic anisotropy ratio (r) depend on the thickness of cold rolled and annealed steel sheets? If yes, why?
The plastic anisotropy ratio is affected by the total cold rolling reduction. Let us denote
t0 = thickness of the hot-rolled coil used for producing cold-rolled sheets
t1= thickness of the cold-rolled sheet
If the ratio (t1 / t0) is kept constant, then the plastic anisotropy of the cold-rolled coils will be fairly independent of the thickness of the end product.
In practice, the hot-rolled coils with the same thickness are often used for producing cold-rolled sheets with different thicknesses - within a certain range. Therefore, in real life, the plastic anisotropy ratio is changing as a function of the thickness of the cold-rolled sheet.
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