ABSTRACT
The main objective of the paper is the investigation of shear band localization criteria for finite elastic-plastic deformations of single crystal subjected to adiabatic process. The next objective is to focus attention on temperature dependent plastic behaviour of single crystal considered. A constitutive model is developed within the thermodynamic framework of the rate type covariance constitutive structure, i.e., it is invariant with respect to diffeomorphism. Thermomechanical couplings are investigated and a method is developed which allows us to use the standard bifurcation procedure in the examination of the adiabatic shear band localization. It has been shown that by incorporating the thermomechanical effects and the spatial covariance effects into a Constutive law of elastic-plastic single crystal, the plastic hardening modulus hcrn at the inception of localization is in fact small but positive. It hase been also proved that this thermomechanical theory of single crystals can describe the misalignment of the shear bands from the active slip systems in the crystal’s matrix.
