Analytical description of the Bauschinger effect using experimental data and the generalized Мasing principle

The research is devoted to the problem of obtaining an analytical expression for the dependence of stresses on strains during unloading and subsequent loading by the reverse sign force, taking into account the Bauschinger effect. The assessment of the deformed state was carried out using the use of Hencky strains. The mathematical model was developed under the assumption of a cyclically ideal material. To process the experimental data, the generalized Masing principle was applied, which is used to describe the ideal Bauschinger effect. On the basis of experimental data for the 45HGMA material, curves of changes in the coefficients of the Bauschinger effect were obtained using the least squares method. The results obtained showed sufficient convergence with experimental data. The results of the study can be used in solving elastic-plastic problems for various processes of alternating loading using the deformation theory of plasticity, when a description of the deformation diagram of the material is required, using the analytical dependence of stresses on strains according to the hypothesis of a single curve.