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dc.contributor.author
Bollati, Julieta
dc.contributor.author
Briozzo, Adriana Clotilde
dc.contributor.author
Kharin, Stanislav N.
dc.contributor.author
Nauryz, Targyn A.
dc.date.available
2024-03-20T13:21:32Z
dc.date.issued
2024-01
dc.identifier.citation
Bollati, Julieta; Briozzo, Adriana Clotilde; Kharin, Stanislav N.; Nauryz, Targyn A.; Mathematical model of thermal phenomena of closure electrical contact with Joule heat source and nonlinear thermal coefficients; Pergamon-Elsevier Science Ltd; International Journal Of Non-linear Mechanics; 158; 1-2024; 1-9
dc.identifier.issn
0020-7462
dc.identifier.uri
http://hdl.handle.net/11336/231046
dc.description.abstract
The mathematical model describing the dynamics of closed contact heating which involves vaporization of the metal when instantaneous explosion of micro-asperity occurs is presented through a Stefan type problem. The temperature field for metallic vaporization zone is introduced as heat resistance that decreases linearity. Temperature fields for liquid and solid phases of the metal described by spherical heat equations with nonlinear thermal coefficients and Joule heat source have to be determined as well as the free boundaries. Joule heating component depends on space and time variable when alternating current is considered. Solution method of the problem based on similarity variable transformation is applied which enables us to reduce the problem to an ordinary differential equations and nonlinear integral equations. Existence and uniqueness of the integral equations are proved by using fixed point theorem in Banach space.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Pergamon-Elsevier Science Ltd
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
JOULE HEAT SOURCE
dc.subject
NONLINEAR THERMAL COEFFICIENTS
dc.subject
STEFAN PROBLEM
dc.subject.classification
Matemática Aplicada
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Mathematical model of thermal phenomena of closure electrical contact with Joule heat source and nonlinear thermal coefficients
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-03-19T14:18:19Z
dc.journal.volume
158
dc.journal.pagination
1-9
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Bollati, Julieta. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral; Argentina
dc.description.fil
Fil: Briozzo, Adriana Clotilde. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral; Argentina
dc.description.fil
Fil: Kharin, Stanislav N.. Kazakh-British Technical University; Kazajistán
dc.description.fil
Fil: Nauryz, Targyn A.. Narxoz Universit; Kazajistán
dc.journal.title
International Journal Of Non-linear Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0020746223002202
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.ijnonlinmec.2023.104568
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