Investigation of the shapes of cuts in a plate in contact with a rigid stamp

Investigation of the shapes of cuts in a plate in contact with a rigid stamp

A mathematical model of a contact interaction between a plate and rigid stamp is derived taking into account physical and design details. The plate is considered to have a crack, that changes its form. The problem of the contact is evaluated based on the theory of variational inequalities. The shape...

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Main Authors: Abdigaliyeva Akmaral, Bigaliyeva Venera, Zholdassova Sharaina, Shabdirov Daryn, Shagayeva Ainur
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/64/e3sconf_suse2021_01026.pdf
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spelling doaj-7de0984911bd46bc80bd808e22b590762021-07-15T06:53:01ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012880102610.1051/e3sconf/202128801026e3sconf_suse2021_01026Investigation of the shapes of cuts in a plate in contact with a rigid stampAbdigaliyeva Akmaral0Bigaliyeva Venera1Zholdassova Sharaina2Shabdirov Daryn3Shagayeva Ainur4Faculty of Information Technology, Atyrau Oil and Gas UniversityFaculty of Information Technology, Atyrau Oil and Gas UniversityFaculty of Engineering, Atyrau Engineering Humanitarian InstituteFaculty of Information Technology, Atyrau Oil and Gas UniversityFaculty of Information Technology, Atyrau Oil and Gas UniversityA mathematical model of a contact interaction between a plate and rigid stamp is derived taking into account physical and design details. The plate is considered to have a crack, that changes its form. The problem of the contact is evaluated based on the theory of variational inequalities. The shape of the stamp is assumed to be perpendicular to the plate surface and the Poisson’s ratio is between 0 and 0.5. Analytical formulation of the study consists of transformation equation, boundary conditions and integral equation. The result is used in maximization and minimization problems for choosing extremal shape of the vertical break in the plate.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/64/e3sconf_suse2021_01026.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Abdigaliyeva Akmaral
Bigaliyeva Venera
Zholdassova Sharaina
Shabdirov Daryn
Shagayeva Ainur
spellingShingle Abdigaliyeva Akmaral
Bigaliyeva Venera
Zholdassova Sharaina
Shabdirov Daryn
Shagayeva Ainur
Investigation of the shapes of cuts in a plate in contact with a rigid stamp
E3S Web of Conferences
author_facet Abdigaliyeva Akmaral
Bigaliyeva Venera
Zholdassova Sharaina
Shabdirov Daryn
Shagayeva Ainur
author_sort Abdigaliyeva Akmaral
title Investigation of the shapes of cuts in a plate in contact with a rigid stamp
title_short Investigation of the shapes of cuts in a plate in contact with a rigid stamp
title_full Investigation of the shapes of cuts in a plate in contact with a rigid stamp
title_fullStr Investigation of the shapes of cuts in a plate in contact with a rigid stamp
title_full_unstemmed Investigation of the shapes of cuts in a plate in contact with a rigid stamp
title_sort investigation of the shapes of cuts in a plate in contact with a rigid stamp
publisher EDP Sciences
series E3S Web of Conferences
issn 2267-1242
publishDate 2021-01-01
description A mathematical model of a contact interaction between a plate and rigid stamp is derived taking into account physical and design details. The plate is considered to have a crack, that changes its form. The problem of the contact is evaluated based on the theory of variational inequalities. The shape of the stamp is assumed to be perpendicular to the plate surface and the Poisson’s ratio is between 0 and 0.5. Analytical formulation of the study consists of transformation equation, boundary conditions and integral equation. The result is used in maximization and minimization problems for choosing extremal shape of the vertical break in the plate.
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/64/e3sconf_suse2021_01026.pdf
work_keys_str_mv AT abdigaliyevaakmaral investigationoftheshapesofcutsinaplateincontactwitharigidstamp
AT bigaliyevavenera investigationoftheshapesofcutsinaplateincontactwitharigidstamp
AT zholdassovasharaina investigationoftheshapesofcutsinaplateincontactwitharigidstamp
AT shabdirovdaryn investigationoftheshapesofcutsinaplateincontactwitharigidstamp
AT shagayevaainur investigationoftheshapesofcutsinaplateincontactwitharigidstamp
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