Abstract:A constitutive model for single crystal thermo-viscoplastic deformation is presented to simulate the thermal behavior of the single crystal. Based on the single crystal thermal kinematics, we consider the thermal decomposition of total deformation gradient and obtain an evolution equation for the elastic deformation gradient. An implicit approach to integrate the equation is adopted to ensure the numerical stability. Using this model, we can reveal the thermal effect to the stress-strain relation of single crystal during its deformation.