МОДЕЛЮВАННЯ РОЗВ’ЯЗАННЯ КРАЙОВОЇ ЗАДАЧІ ДЛЯ ШАРУ, ПОСЛАБЛЕНОГО ДВОМА НАСКРІЗНИМИ ОТВОРАМИ, ПРИ КОВЗНОМУ ЗАЩЕМЛЕННІ ТОРЦІВ.

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Title: МОДЕЛЮВАННЯ РОЗВ’ЯЗАННЯ КРАЙОВОЇ ЗАДАЧІ ДЛЯ ШАРУ, ПОСЛАБЛЕНОГО ДВОМА НАСКРІЗНИМИ ОТВОРАМИ, ПРИ КОВЗНОМУ ЗАЩЕМЛЕННІ ТОРЦІВ.
Alternate Title: MODELING OF THE BOUNDARY-VALUE PROBLEM SOLUTION FOR A LAYER WEAKENED BY TWO THROUGH HOLES WITH SLIDING END LOCKING.
Authors: Панченко, Б. Є.1, Ковальов, Ю. Д.1, Тимошенко, Л. М.1 l.m.timoshenko@op.edu.ua, Фесенко, Г. О.1, Северин, М. В.1
Source: Informatics & Mathematical Methods in Simulation / Informatika ta Matematičnì Metodi v Modelûvannì. 2026, Vol. 16 Issue 3, p528-533. 6p.
Subjects: Boundary value problems, Stress concentration, Singular integrals, Mathematical models, Numerical analysis, Poisson's ratio, Structural analysis (Engineering), Mechanical engineering
Abstract: The paper presents a new mathematical model for the solution of a static skew-symmetric boundary value problem for a layer weakened by two through holes with sliding sealing of its ends. A new method based on a system of six singular integral equations has been developed and tested numerically. As a result of a highprecision numerical study, it was found that with a decrease in the center-to-center distance or Poisson's ratio, an increase in the relative circumferential stress occurs. And with an increase in the Poisson's ratio, the maximum relative circumferential stress shifts from the bases of the layer to its depth. Under certain combinations of parameters, the effect of the presence of the second hole in the layer ceases to affect. The corresponding values are given. The paper presents the respective dependency graphs. [ABSTRACT FROM AUTHOR]
Copyright of Informatics & Mathematical Methods in Simulation / Informatika ta Matematičnì Metodi v Modelûvannì is the property of Odessa Polytechnic University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: МОДЕЛЮВАННЯ РОЗВ’ЯЗАННЯ КРАЙОВОЇ ЗАДАЧІ ДЛЯ ШАРУ, ПОСЛАБЛЕНОГО ДВОМА НАСКРІЗНИМИ ОТВОРАМИ, ПРИ КОВЗНОМУ ЗАЩЕМЛЕННІ ТОРЦІВ.
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  Data: MODELING OF THE BOUNDARY-VALUE PROBLEM SOLUTION FOR A LAYER WEAKENED BY TWO THROUGH HOLES WITH SLIDING END LOCKING.
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  Data: The paper presents a new mathematical model for the solution of a static skew-symmetric boundary value problem for a layer weakened by two through holes with sliding sealing of its ends. A new method based on a system of six singular integral equations has been developed and tested numerically. As a result of a highprecision numerical study, it was found that with a decrease in the center-to-center distance or Poisson's ratio, an increase in the relative circumferential stress occurs. And with an increase in the Poisson's ratio, the maximum relative circumferential stress shifts from the bases of the layer to its depth. Under certain combinations of parameters, the effect of the presence of the second hole in the layer ceases to affect. The corresponding values are given. The paper presents the respective dependency graphs. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Informatics & Mathematical Methods in Simulation / Informatika ta Matematičnì Metodi v Modelûvannì is the property of Odessa Polytechnic University and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.15276/imms.v16.no3.528
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        Text: Ukrainian
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        Type: general
      – SubjectFull: Stress concentration
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      – SubjectFull: Singular integrals
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      – SubjectFull: Mathematical models
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      – SubjectFull: Numerical analysis
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      – SubjectFull: Poisson's ratio
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      – SubjectFull: Mechanical engineering
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      – TitleFull: МОДЕЛЮВАННЯ РОЗВ’ЯЗАННЯ КРАЙОВОЇ ЗАДАЧІ ДЛЯ ШАРУ, ПОСЛАБЛЕНОГО ДВОМА НАСКРІЗНИМИ ОТВОРАМИ, ПРИ КОВЗНОМУ ЗАЩЕМЛЕННІ ТОРЦІВ.
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              Text: 2026
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