Some features of dissipative theories of strain-gradient plasticity

Abstract eng:
A critical investigation is carried out of a strain-gradient plasticity theory. The theory is dissipative in nature, in the sense that the plastic strain-gradient terms and associated length scale enter through the flow relation, rather than through the free energy. It is shown that the yield condition and flow relation take a global form, in contrast to conventional theories in which these are posed locally, that is, pointwise in the domain. Recent studies of particular examples of non-proportional loading have highlighted interesting and novel features of dissipative strain-gradient theories. These features, such as a delayed resumption of plastic loading following non-proportional increments in loading, are explored further computationally, and the behaviour thus obtained is studied with a view to relating it to the specific features of the flow relation in the dissipative theory.

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