Computational Algorithm for Analyzing the Governing Relations of the Endochronic Theory of Thermoplasticity for Isotropic Materials
G.N. Kuvyrkin, D. R. Rakhimov
Bauman Moscow State Technical University, Moscow, Russia
Keywords: endochronic theory of plasticity, thermoplasticity, non-isothermal loading, complex loading, deformation curve
Abstract
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 variant of the governing relations in integral and differential form for the general loading case is given. Analytical dependences for a number of material parameters of the model were determined based on the results of uniaxial tension (torsion) tests. A numerical algorithm based on the Euler method with an internal iterative process implemented by the Seidel method is proposed to analyze the governing 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 isotropic hardening flow theory
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