A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages

The relevance of creating a mathematical model of deformation of various steels is dictated not only by the fact that it can be used to determine their physical and mechanical data used under certain external loads, but also because the mathematical model itself contributes to understanding the proc...

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Main Authors: Yurchenko Anatoly S., Yurchenko Stepan A.
Format: Article
Language:English
Published: EDP Sciences 2025-01-01
Series:EPJ Web of Conferences
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2025/03/epjconf_aapm2025_04008.pdf
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author Yurchenko Anatoly S.
Yurchenko Stepan A.
author_facet Yurchenko Anatoly S.
Yurchenko Stepan A.
author_sort Yurchenko Anatoly S.
collection DOAJ
description The relevance of creating a mathematical model of deformation of various steels is dictated not only by the fact that it can be used to determine their physical and mechanical data used under certain external loads, but also because the mathematical model itself contributes to understanding the processes that occur in the deformed sample itself, allowing us to reveal the essence of the structure of the metal itself. Moreover, the current studies of this issue, despite the fact that they were carried out on the basis of a physical and mathematical approach, could not model the real process of this mechanism due to the fact that they did not find a single essence of this process. However, these studies have significantly helped in identifying the real mechanism of deformation and creating a new mathematical model. Using the data of existing experimental studies on uniaxial tension of steel rods, establish a single relationship between the stages of their deformation, taking into account the discrete structure of the crystal lattice of the metal, based on elastic and plastic shifts of its kinetic units. Based on the results obtained, develop a mathematical model that allows you to determine the necessary loads when using certain steels in specified conditions of their operation.
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spelling doaj-art-e3337fd7971045cfae4a8ab3a2e839422025-08-20T03:16:28ZengEDP SciencesEPJ Web of Conferences2100-014X2025-01-013180400810.1051/epjconf/202531804008epjconf_aapm2025_04008A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stagesYurchenko Anatoly S.0Yurchenko Stepan A.1LLC Scientific Production Firm “TEHOSNASTKA-RTD”LLC Scientific Production Firm “TEHOSNASTKA-RTD”The relevance of creating a mathematical model of deformation of various steels is dictated not only by the fact that it can be used to determine their physical and mechanical data used under certain external loads, but also because the mathematical model itself contributes to understanding the processes that occur in the deformed sample itself, allowing us to reveal the essence of the structure of the metal itself. Moreover, the current studies of this issue, despite the fact that they were carried out on the basis of a physical and mathematical approach, could not model the real process of this mechanism due to the fact that they did not find a single essence of this process. However, these studies have significantly helped in identifying the real mechanism of deformation and creating a new mathematical model. Using the data of existing experimental studies on uniaxial tension of steel rods, establish a single relationship between the stages of their deformation, taking into account the discrete structure of the crystal lattice of the metal, based on elastic and plastic shifts of its kinetic units. Based on the results obtained, develop a mathematical model that allows you to determine the necessary loads when using certain steels in specified conditions of their operation.https://www.epj-conferences.org/articles/epjconf/pdf/2025/03/epjconf_aapm2025_04008.pdf
spellingShingle Yurchenko Anatoly S.
Yurchenko Stepan A.
A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages
EPJ Web of Conferences
title A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages
title_full A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages
title_fullStr A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages
title_full_unstemmed A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages
title_short A mathematical model of steel sample stretching: Establishing a unified nature and mechanism of the relationship between deformation stages
title_sort mathematical model of steel sample stretching establishing a unified nature and mechanism of the relationship between deformation stages
url https://www.epj-conferences.org/articles/epjconf/pdf/2025/03/epjconf_aapm2025_04008.pdf
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