Abstract

In the preceding paper new constitutive laws for steady state deformation of metals were developed using an approach based on the assumption that during steady state deformation of a pure metal, or stable solid solution the substructure can be adequately described by a few microstructural elements, the two most important ones being the cell/subgrain size, {delta}{sub s}, and the dislocation density in the cell interior, {rho}{sub i}. Based on this microstructural description and the assumption that during steady state the principle of similitude applies, in the sense that the separation of dislocations within the cells (1/{radical}{rho}{sub i}) scales with the cell size {delta}{sub s} (i.e. {radical}{rho}{sub i} = C{sub {delta}}/{Delta}{sub s}) then the following flow stress relationship was rationalized: {tau}{sub s} = {tau}{sub i} + {alpha}{sub 3}Gb 1/{delta}{sub s}.

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