The variant of generalization of Ilyushin's theory of elastoplastic processes on the case of finite deformations of thermo- visco-plastic material, based on using two different tensors of finite deformations at construction of functionals of plasticity, is presented. The functional of scalar properties depends on Hencky holonomic tensor of logarithmic deformations, functionals of vectorial properties - from a nonholonomic tensor of finite deformations, induced by neutral objective corotation derivative.
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