On the calculation of the hardening coefficient for the power approximation of steel deformation diagrams within the framework of the deformation theory of plasticity

Abstract

The article presents the calculated dependencies and a new analytical method for calculating the power hardening coefficient for approximating the deformation diagrams of steels within the framework of the deformation theory of plasticity. The method takes into account the key characteristics of the material, reduces errors in approximation, which is important for describing the behavior of materials under complex loads and deformations. The development of accurate methods for analyzing the behavior of materials allows not only to increase safety, but also to optimize design and operation costs. An analysis of various approaches to the schematization of deformation diagrams, including linear and power approximations, is performed. It is found that the proposed method provides better agreement with experimental data, especially for low-carbon and low-alloy steels. The results of the study can be useful for engineers and researchers in the field of shipbuilding, mechanical engineering and mechanics of deformed solids. They allow improving the methods for monitoring the development of defects, which warns of crack propagation, increasing the reliability and durability of ship structures. The proposed method can be integrated into existing approaches to strength analysis using programs for the computational analysis of the stress state beyond the elastic region, improving the modeling of the behavior of materials under load.