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dc.contributor.author
Ochal, Anna
dc.contributor.author
Przadka, Wiktor
dc.contributor.author
Sofonea, Mircea
dc.contributor.author
Tarzia, Domingo Alberto
dc.date.available
2024-01-26T13:29:09Z
dc.date.issued
2023-06
dc.identifier.citation
Ochal, Anna; Przadka, Wiktor; Sofonea, Mircea; Tarzia, Domingo Alberto; Modelling, analysis, and numerical simulation of a spring-rods system with unilateral constraints; SAGE Publications; Mathematics And Mechanics Of Solide; 6-2023; 1-18
dc.identifier.issn
1081-2865
dc.identifier.uri
http://hdl.handle.net/11336/224968
dc.description.abstract
In this paper, we consider a mathematical model which describes the equilibrium of two elastic rods attached to a nonlinear spring. We derive the variational formulation of the model which is in the form of an elliptic quasivariational inequality for the displacement field. We prove the unique weak solvability of the problem, then we state and prove some convergence results, for which we provide the corresponding mechanical interpretation. Next, we turn to the numerical approximation of the problem based on a finite element scheme. We use a relaxation method to solve the discrete problems that we implement on the computer. Using this method, we provide numerical simulations which validate our convergence results.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
SAGE Publications
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CONVERGENCE RESULT
dc.subject
DISCRETE SCHEME
dc.subject
FINITE ELEMENT
dc.subject
QUASIVARIATIONAL INEQUALITY
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SPRING-RODS SYSTEM
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UNILATERAL CONSTRAINT
dc.subject
WEAK SOLUTION
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Modelling, analysis, and numerical simulation of a spring-rods system with unilateral constraints
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-01-25T13:56:38Z
dc.journal.pagination
1-18
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Ochal, Anna. Jagiellonian University;
dc.description.fil
Fil: Przadka, Wiktor. Jagiellonian University;
dc.description.fil
Fil: Sofonea, Mircea. Université de Perpignan Via Domitia; Francia
dc.description.fil
Fil: Tarzia, Domingo Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Austral; Argentina
dc.journal.title
Mathematics And Mechanics Of Solide
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1177/10812865231186345
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