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In this study, an analysis of the influence parameters measured by the static tensile test, thermography and digital image correlation was performed during formation and propagation of the Luders bands. A new approach to the prediction of stresses, maximum temperature changes and strains during the Luders band formation and propagation is proposed in this paper. Application of the obtained mathematical models of influence parameters gives a clear insight into the behavior of niobium microalloyed steel at the beginning of the plastic flow, which can improve product quality and reduce costs during the forming of microalloyed steels with the appearance of the Luders bands. The obtained models of influential parameters during formation and propagation of the Luders bands have been developed by the regression analysis method. The proposed mathematical models showed low deviations of calculated results ranging from 1.34% to 12.37%.The local stress amounts, important in the forming of microalloyed steels since indicating surface roughness and plastic flow possibilities during the Luders band propagation, are obtained by the mathematical model. It was found that stress amounts increase during the Luders band propagation in the area behind the Luders band front. The difference in stress amount between the start of the Luders band propagation and advanced Luders band propagation is 25.53 MPa.

MATHEMATICAL MODELING OF THE INFLUENCE PARAMETERS DURING FORMATION AND PROPAGATION OF THE LÜDERS BANDS