Levy-Mises equation

These equations are called the Levy-Mises equations. 

The Levy-Mises equations define one of a number of possible flow rules that can be derived via an argument that depends upon a concept known as the plastic potential. This idea has been discussed by Hill [ 15]. It is assumed that the components of the plastic strain increment tensor are proportional to the partial derivatives of the plastic potential, which is a scalar function of stress. The flow rule can thus be generated by this differentiation process. We may choose to assume, for a particular form of yield criterion, that the plastic potential has the same functional form as the yield criterion then, the derived flow rule is described as being associated with the yield criterion (or as an associative flow rule). However, this assumption is not obligatory and when it is not true we will be applying a yield criterion together with a non-associated flow rule. This is discussed further by de Souza Neto etal. [19],... 

This reproduces the first of the Levy-Mises Equation (12.10). The Levy-Mises flow rule is thus associated with the von Mises criterion. 

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See also in sourсe #XX -- [ ]

See also in sourсe #XX -- [ ]

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