Hello Rebboc and welcome,
I found your explanation above interesting but I beg to disagree with some of it. We generally try to stay away from going too deeply into very complex issues because WAI books are available and it wastes a lot of our time but I cannot leave it the way you have described.
Firstly, if the wire is bent at the exit of the die, there are, as you pointed out, two bending stresses generated from the center or neutral axis of the wire. These stresses start at zero and radially increase as one moves outwards towards the outer curved surface of the wire A compressive stress is on the inner side of the curve and the tensile stress is on the outer side of the curve.
The stresses are additive (Compression negative.) to the overall drawing (pulling) tensile stress created by the downstream capstan pulling on the wire. Thus on the compressive side of the bend, the total stress is slightly reduced and slightly increased on the tensile side of the bend. It is my understanding that the highest tensile stress is at one outside surface at the die and that is where surface damage called 'chevrons' or "crows feet" are created. It is the point of highest external to the drawing die tensile stress.
Central bursting however occurs while the copper wire is actually inside the drawing die and this is a much more complex situation. If you want the technical details I suggest you purchase the WAI book I referenced above because it requires graphs and drawings which we cannot recreate here.
Regards
Peter J. Stewart-Hay
Principal
Stewart-Hay Associates
www.Stewart-Hay.com
519 641-3212