In elastoplasticity formulation constitutive relations are usually given in
rate form, i.e. they represent relations between stress rate and strain rate.
The adopted constitutive laws have to stay independent in relation to the
change of frame of reference, i.e. to stay objective. While the objectivity
requirement in a material description is automatically satisfied, in an
Eulerian description, especially in the case of large deformations, the
objectivity requirement can be violated even for objective quantities. Thus,
instead of a material time derivative in the Eulerian description objective
time derivatives have to be implemented. In this work the importance of the
objective rate implementation in the constitutive relations of finite
elastoplasticity is clarified. Likewise, it shows the overview of the most
frequently used objective rates nowadays, their advantages and shortcomings,
as well as the distinctive features of the recently introduced logarithmic
rate.
An alternative approach to finite deformation