Titre :	Estimates For The Asymptotic Convergence Of A Nonisothermal Linear Elasticity With Friction
Type de document :	document électronique
Auteurs :	Doua Hachani, Auteur ; Abdelkader Saadallah, Directeur de thèse
Editeur :	Sétif:UFS
Année de publication :	2026
Importance :	1 vol (36 f.)
Format :	29 cm
Note générale :
Langues :	Anglais (eng)
Catégories :	Mathématique
Mots-clés :	Linear elasticity, Thermoelasticity, Thin domain, Tresca friction, Variational formulation, Asymptotic convergence
Résumé :	This work is devoted to the asymptotic analysis of a dynamic thermoelastic problem in a thin domain with Tresca friction conditions imposed on part of its boundary. The mathematical model couples the equations of linear elasticity with a heat equation in order to describe the interaction between mechanical deformations and thermal effects. First, a weak variational formulation of the problem is established in suitable functional spaces. The existence and uniqueness of weak solutions are recalled using tools from convex analysis and variational inequalities. To investigate the behavior of the system as the thickness parameter " tends to zero, a rescaling transformation is introduced to convert the original problem posed on an "-dependent domain into an equivalent problem defined on a fixed domain. This approach allows the derivation of uniform a priori estimates independent of ". Using compactness arguments and weak convergence techniques, convergence results are established and the corresponding limit problem is derived. The obtained model provides a rigorous and simplified description of the asymptotic behavior of thermoelastic systems with Tresca friction in thin domains.
Côte titre :	MAM/0868
En ligne :	https://repository.univ-setif.dz/server/api/core/bitstreams/a6eaf050-1c21-4c96-8 [...]

Estimates For The Asymptotic Convergence Of A Nonisothermal Linear Elasticity With Friction [document électronique] / Doua Hachani, Auteur ; Abdelkader Saadallah, Directeur de thèse . - [S.l.] : Sétif:UFS, 2026 . - 1 vol (36 f.) ; 29 cm.

Langues : Anglais (eng)

Catégories :	Mathématique
Mots-clés :	Linear elasticity, Thermoelasticity, Thin domain, Tresca friction, Variational formulation, Asymptotic convergence
Résumé :	This work is devoted to the asymptotic analysis of a dynamic thermoelastic problem in a thin domain with Tresca friction conditions imposed on part of its boundary. The mathematical model couples the equations of linear elasticity with a heat equation in order to describe the interaction between mechanical deformations and thermal effects. First, a weak variational formulation of the problem is established in suitable functional spaces. The existence and uniqueness of weak solutions are recalled using tools from convex analysis and variational inequalities. To investigate the behavior of the system as the thickness parameter " tends to zero, a rescaling transformation is introduced to convert the original problem posed on an "-dependent domain into an equivalent problem defined on a fixed domain. This approach allows the derivation of uniform a priori estimates independent of ". Using compactness arguments and weak convergence techniques, convergence results are established and the corresponding limit problem is derived. The obtained model provides a rigorous and simplified description of the asymptotic behavior of thermoelastic systems with Tresca friction in thin domains.
Côte titre :	MAM/0868
En ligne :	https://repository.univ-setif.dz/server/api/core/bitstreams/a6eaf050-1c21-4c96-8 [...]