Abstract
In the context of the author's previously published “simple” theory of plasticity[1] in which no loading or yield surfaces are assumed to exist, it is shown that (a) loading surfaces must exist for a plastic material as a result of Caratheodory's theorem on Pfaffian forms, and that (b) a yield hypersurface in state space may be defined as the boundary of the region in which no loading surfaces exist (the elastic region) if this region has a positive volume, otherwise this region degenerates into the quasi-yield hypersurface. The significance of loading and yield (or quasi-yield) hypersurfaces is further explored for one-component loadings, with particular attention to the Bauschinger effect and kinematic hardening.
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