Estimates for the Asymptotic Convergence of a Non-Isothermal Linear Elasticity with Friction / Mayssa Chenoune

Public ISBD Titre : Estimates for the Asymptotic Convergence of a Non-Isothermal Linear Elasticity with Friction Type de document : document électronique Auteurs : Mayssa Chenoune, Auteur ; Saadallah ,Abdelkader Editeur : Sétif:UFS Année de publication : 2025 Importance : 1 vol (32 f.) Format : 29 cm Langues : Anglais (eng) Mots-clés : A Priori Inequalities Free Boundary Problems Elasticity System Asymptotic Approach Tresca Law Résumé : In this memoir, we are interested in the study of the asymptotic analysis of a dynamical problem in elasticity with nonlinear friction of Tresca type. The Lamé coefficients of a thin layer are assumed to vary with respect to the thin layer parameter ε and to depend on the temperature. We prove the existence and uniqueness of a weak solution for the limit problem. The proof is carried out by the use of the asymptotic behavior when the dimension of the domain tends to zero. Note de contenu : Table of contents 0.1 Tresca type friction laws. . . . . . . . . . . . . . . . . . . . . . 7 0.2 Fonctoinal spaces . . . . . . . . . . . . . . . . . . . . . . . . . 7 0.2.1 Some reminders of fonctional analysis . . . . . . . . . 7 0.2.2 Reminders about sobolev spaces. . . . . . . . . . . . . 10 0.3 Lower semi-continuity properties : . . . . . . . . . . . . . . . . 13 0.4 Weak formulation . . . . . . . . . . . . . . . . . . . . . . . . 17 0.5 Transposition of problem (1.1)–(1.10) . . . . . . . . . . . . . . 20 0.5.1 A priori estimates of the displacement . . . . . . . . . 22 0.5.2 A priori estimates of the temperature . . . . . . . . . . 22 0.6 Convergence results and the limit problem . . . . . . . . . . . 24 0.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Côte titre : MAM/0822 Estimates for the Asymptotic Convergence of a Non-Isothermal Linear Elasticity with Friction [document électronique] / Mayssa Chenoune, Auteur ; Saadallah ,Abdelkader . - [S.l.] : Sétif:UFS, 2025 . - 1 vol (32 f.) ; 29 cm. Langues : Anglais (eng) Mots-clés : A Priori Inequalities Free Boundary Problems Elasticity System Asymptotic Approach Tresca Law Résumé : In this memoir, we are interested in the study of the asymptotic analysis of a dynamical problem in elasticity with nonlinear friction of Tresca type. The Lamé coefficients of a thin layer are assumed to vary with respect to the thin layer parameter ε and to depend on the temperature. We prove the existence and uniqueness of a weak solution for the limit problem. The proof is carried out by the use of the asymptotic behavior when the dimension of the domain tends to zero. Note de contenu : Table of contents 0.1 Tresca type friction laws. . . . . . . . . . . . . . . . . . . . . . 7 0.2 Fonctoinal spaces . . . . . . . . . . . . . . . . . . . . . . . . . 7 0.2.1 Some reminders of fonctional analysis . . . . . . . . . 7 0.2.2 Reminders about sobolev spaces. . . . . . . . . . . . . 10 0.3 Lower semi-continuity properties : . . . . . . . . . . . . . . . . 13 0.4 Weak formulation . . . . . . . . . . . . . . . . . . . . . . . . 17 0.5 Transposition of problem (1.1)–(1.10) . . . . . . . . . . . . . . 20 0.5.1 A priori estimates of the displacement . . . . . . . . . 22 0.5.2 A priori estimates of the temperature . . . . . . . . . . 22 0.6 Convergence results and the limit problem . . . . . . . . . . . 24 0.7 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 Côte titre : MAM/0822

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0822	MAM/0822	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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