The relationship between dislocation density and flow stress in materials deforming by a peierls-nabarro mechanism

Abstract

Experimental observations relating the flow stress to the square root of the dislocation density are shown to be in agreement with the predictions of the theory of thermally activated deformation. Moreover, it is shown that τ₀, from the empirical relation τflow=τ₀+k′ρ^1/2, is merely a product of the forced interpretation of the data in terms of a linear dependence of τflow on ρ^1/2.