Abstract
The flow curve of some metals in the region of uniform plastic deformation can be expressed by the Ludwik model, σ=K∈n. For stable austenitic stainless steels and other face-centered-cubic (fcc) metals with low stacking fault energies, a second term has been added to the Ludwik model to account for devitations at low strains. The modified model \(\sigma = K_1 \in ^{n_1 } + e^{K_2 } \cdot e^n e^ \in\) adequately describes the plastic flow of these materials. The value for σ at ε=0 in this model ise K 2 and agrees reasonably well with the observed proportional limit. It is hypothesized that the modification term accounts for transient planar flow of dislocations favored by low stacking fault energy.
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References
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Ludwigson, D.C. Modified stress-strain relation for FCC metals and alloys. Metall Trans 2, 2825–2828 (1971). https://doi.org/10.1007/BF02813258
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DOI: https://doi.org/10.1007/BF02813258