Abstract
This paper deals with “incremental” extremum principles in an associated flow-law theory of plasticity allowing for unstable, work-softening behavior, in contrast to the traditional assumptions. The theorem for the strain rates, corresponding to the minimum potential energy principle of elasticity, is proved to hold under appropriate condition which limits the unstabilizing effects present in the considered situation of the system. The theorem for the stress rates, corresponding to the complementary energy principle, turns out not to hold in general. The theorem for the plastic strain rates is shown to have the same range of validity as that for strain rates.
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