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The consistency condition

An expression for  in terms of the stress and strain rate is required in Equation 30 to complete the plasticity model. Differentiating Equation 8 with time gives the consistency condition, which defines .

formel31

For linear hardening,

formel32

Noting that σ^/σ= sqrt(3/2n) for the von Mises equivalent stress, the expression for simplifies to

formel33

djb 2005