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The macroscopic elastic-plastic response of a metal polycrystal is analyzedhere by homogenizing the response of a representative volume element. With thispurpose, the theory developed in Hill(1967)(The essential structure ofconstitutive laws for metal composites and polycrystals. J. Mech. Phys. Solids,15, 79-95) is extended so that the structural changes caused by plasticdeformation are taken into account. It is found that the type of evolutionassigned to the slip systems of a constituent crystal influences significantlythe structure of the constitutive system characterizing the overall response.In particular, the classical normality structure is obtained only if slipsystems are assumed to convect with the crystal lattice. Any other type of slipsystem evolution induces a deviation of the macro-rate of plastic deformationfrom the exterior normal to the yield surface. This provides a physicalexplanation and also a rigorous definition for the much debated concept ofplastic spin.

On the structure of metal plasticity constitutive equations and the physical origin of the plastic spin