MATHEMATICAL MODELING OF CRITICAL STATES OF DISCRETELY INHOMOGENEOUS COMPOUNDS WITH A BOUNDARY IN THE FORM OF A TWO-LINK POLYLINE

The paper considers the critical states of discrete inhomogeneous compounds under conditions of plane deformation. The boundary between sections of different strength is assumed to be a two-link polyline or contains such a fragment. The features of mathematical models of such states in the form of fields of characteristics (sliding lines) are investigated. It is shown for the first time that stress discontinuity lines can be located in a less durable part of the joint, and plastic flow zones in a more durable part can be located inside the joint.

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Publication Details

Journal
Челябинский физико-математический журнал
Published
2025-03-27
DOI
https://doi.org/10.47475/2500-0101-2025-10-1-126-134
Primary Topic
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

MATHEMATICAL MODELING OF CRITICAL STATES OF DISCRETELY INHOMOGENEOUS COMPOUNDS WITH A BOUNDARY IN THE FORM OF A TWO-LINK POLYLINE

В. Л. Дильман, Anna Kashcheeva
Челябинский физико-математический журнал
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
article

MATHEMATICAL MODELING OF CRITICAL STATES OF DISCRETELY INHOMOGENEOUS COMPOUNDS WITH A BOUNDARY IN THE FORM OF A TWO-LINK POLYLINE

В. Л. Дильман, Anna Kashcheeva
article en

Abstract

The paper considers the critical states of discrete inhomogeneous compounds under conditions of plane deformation. The boundary between sections of different strength is assumed to be a two-link polyline or contains such a fragment. The features of mathematical models of such states in the form of fields of characteristics (sliding lines) are investigated. It is shown for the first time that stress discontinuity lines can be located in a less durable part of the joint, and plastic flow zones in a more durable part can be located inside the joint.

Челябинский физико-математический журналVol. 10(1)
South Ural State University (RU)
Openalex Percentile: Top 94%
Advanced Theoretical and Applied Studies in Material Sciences and Geometry
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MATHEMATICAL MODELING OF CRITICAL STATES OF DISCRETELY INHOMOGENEOUS COMPOUNDS WITH A BOUNDARY IN THE FORM OF A TWO-LINK POLYLINE — В. Л. Дильман, Anna Kashcheeva · Челябинский физико-математический журнал (2025) | TGRS Research Map | TGRS