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Levy-Mises equations

The Levy-Mises equations (also called flow rules) describe the relationship between stress and strain for an ideal plastic solid where the elastic strains are negligible.

$\frac{\mathbf{d}\varepsilon_1}{\sigma'_1}=\frac{\mathbf{d}\varepsilon_2} {\sigma'_2}=\frac{\mathbf{d}\varepsilon_3}{\sigma'_3}=\mathbf{d}\lambda$