Concretization of generalization of the coplanarity hypothesis for elastic-plastic processes in a three-dimensional space by A. A. Ilyushin
One of the forms of the three-term constitutive relations of the theory of elastic-plastic processes is considered and a method for determining the functionals of the theory of elasticplastic processes for plane stress state and three-dimensional helical strain trajectories by selecting analytical functions corresponding to experimental data is presented. Concretized formulas for determining functionals from experimental data for the coordinates of stress and strain vectors and their derivatives along the length of the arc of the strain trajectory are given. The results of calculating the plasticity functionals for a three-dimensional helical strain trajectory are presented in a visual graphical form.