Thermodynamic considerations on a class of dislocation-based constitutive models

Dislocations are the main carriers of plastic deformation in crystalline materials. Physically based constitutive equations crystal plasticity typically incorporate dislocation mechanisms, using a density description microstructure evolution and flow. Typically, such models not formulated thermodynamic framework. Nevertheless, fundamental considerations consistency impose constraints on admissible range model parameters and/or application models. In particular, it is mandatory to ensure that internal energy increase associated with accumulation properly accounted for local balance. We demonstrate some examples taken from literature how failure do so can lead violate first second laws thermodynamics either generally or particular limit cases, we discuss formulate recover consistency.