COMPUTATIONAL ALGORITHM FOR STUDYING THE CONSTITUTIVE RELATIONS OF THE ENDOCHRONIC THEORY OF THERMOPLASTICITY FOR ISOTROPIC MATERIALS

It is proposed to use the relations of the endochronic theory of thermoplasticity to describe the nonlinear deformation of isotropic materials under non-isothermal loading. A version of the constitutive relations in integral and differential form is given for the general loading case. Based on the results of uniaxial tension (torsion) tests, analytical relations are determined for a number of material parameters of the model. A numerical algorithm based on the Euler method with inner iteration carried out by the Seidel method is proposed to analyze the constitutive relations. An example of numerical calculation of the uniaxial tension of a rod under complex thermal force loading. It is shown that the calculation results are in satisfactory agreement with the results obtained using the flow theory of plasticity with isotropic hardening.