Quasistatic problem in electro-viscoelasticity with friction / Assma Oudjhani

Public ISBD Titre : Quasistatic problem in electro-viscoelasticity with friction Type de document : texte imprimé Auteurs : Assma Oudjhani, Auteur ; A Bachmar, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2024 Importance : 1 vol (45 f.) Format : 29 cm Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Normal compliance Fixed point Quasistatic Weak solution Index. décimale : 510-Mathématique Résumé : The subject of this memor is the variational analysis of the problem at the contact boundaries in a quasistatic process with boundary conditions. We consider an electro -viscoelastic constitutive law . We get the variational formulation, then we establish the existence and uniqueness results of the weak solution. The proofs are based on the results of the variational equations and inequations as well as the arguments of fixed point. Note de contenu : Sommaire Introduction1 Notations 3 1 Modeling6 1.1Physicalsettings-Mathematicalmodels.................... 6 1.2Behaviorlaws................................... 11 1.3Contactboundaryconditionsandfrictionlaws................. 12 2 Mathematicaltools16 2.1Sobolevspaces.................................. 16 2.2Vector-valuedfunctionspaces.......................... 20 2.3ElementsofanalysisinHilbertspaces..................... 21 2.3.1Variationalevolutionequationsandinequations............ 21 2.3.2BanachÂ…xedpointtheorem....................... 24 2.4Variouscomplements............................... 25 2.4.1Gronwall-typelemmas.......................... 25 3 Quasistaticprobleminelectro-viscoelasticitywithfriction27 3.1Problemformulation............................... 27 3.2Variationalformulation.............................. 29 3.3Existenceanduniquenessofthesolution.................... 34 Côte titre : MAM/0709 Quasistatic problem in electro-viscoelasticity with friction [texte imprimé] / Assma Oudjhani, Auteur ; A Bachmar, Directeur de thèse . - [S.l.] : Sétif:UFS, 2024 . - 1 vol (45 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Normal compliance Fixed point Quasistatic Weak solution Index. décimale : 510-Mathématique Résumé : The subject of this memor is the variational analysis of the problem at the contact boundaries in a quasistatic process with boundary conditions. We consider an electro -viscoelastic constitutive law . We get the variational formulation, then we establish the existence and uniqueness results of the weak solution. The proofs are based on the results of the variational equations and inequations as well as the arguments of fixed point. Note de contenu : Sommaire Introduction1 Notations 3 1 Modeling6 1.1Physicalsettings-Mathematicalmodels.................... 6 1.2Behaviorlaws................................... 11 1.3Contactboundaryconditionsandfrictionlaws................. 12 2 Mathematicaltools16 2.1Sobolevspaces.................................. 16 2.2Vector-valuedfunctionspaces.......................... 20 2.3ElementsofanalysisinHilbertspaces..................... 21 2.3.1Variationalevolutionequationsandinequations............ 21 2.3.2BanachÂ…xedpointtheorem....................... 24 2.4Variouscomplements............................... 25 2.4.1Gronwall-typelemmas.......................... 25 3 Quasistaticprobleminelectro-viscoelasticitywithfriction27 3.1Problemformulation............................... 27 3.2Variationalformulation.............................. 29 3.3Existenceanduniquenessofthesolution.................... 34 Côte titre : MAM/0709

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Quasistatic problem in electro-viscoelasticity with friction / Assma Oudjhani

Public ISBD Titre : Quasistatic problem in electro-viscoelasticity with friction Type de document : texte imprimé Auteurs : Assma Oudjhani, Auteur ; A Bachmar, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2024 Importance : 1 vol (45 f.) Format : 29 cm Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Normal compliance Fixed point Quasistatic Weak solution Index. décimale : 510-Mathématique Résumé : The subject of this memor is the variational analysis of the problem at the contact boundaries in a quasistatic process with boundary conditions. We consider an electro -viscoelastic constitutive law . We get the variational formulation, then we establish the existence and uniqueness results of the weak solution. The proofs are based on the results of the variational equations and inequations as well as the arguments of fixed point. Note de contenu : Sommaire Introduction1 Notations 3 1 Modeling6 1.1Physicalsettings-Mathematicalmodels.................... 6 1.2Behaviorlaws................................... 11 1.3Contactboundaryconditionsandfrictionlaws................. 12 2 Mathematicaltools16 2.1Sobolevspaces.................................. 16 2.2Vector-valuedfunctionspaces.......................... 20 2.3ElementsofanalysisinHilbertspaces..................... 21 2.3.1Variationalevolutionequationsandinequations............ 21 2.3.2BanachÂ…xedpointtheorem....................... 24 2.4Variouscomplements............................... 25 2.4.1Gronwall-typelemmas.......................... 25 3 Quasistaticprobleminelectro-viscoelasticitywithfriction27 3.1Problemformulation............................... 27 3.2Variationalformulation.............................. 29 3.3Existenceanduniquenessofthesolution.................... 34 Côte titre : MAM/0709 Quasistatic problem in electro-viscoelasticity with friction [texte imprimé] / Assma Oudjhani, Auteur ; A Bachmar, Directeur de thèse . - [S.l.] : Sétif:UFS, 2024 . - 1 vol (45 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Normal compliance Fixed point Quasistatic Weak solution Index. décimale : 510-Mathématique Résumé : The subject of this memor is the variational analysis of the problem at the contact boundaries in a quasistatic process with boundary conditions. We consider an electro -viscoelastic constitutive law . We get the variational formulation, then we establish the existence and uniqueness results of the weak solution. The proofs are based on the results of the variational equations and inequations as well as the arguments of fixed point. Note de contenu : Sommaire Introduction1 Notations 3 1 Modeling6 1.1Physicalsettings-Mathematicalmodels.................... 6 1.2Behaviorlaws................................... 11 1.3Contactboundaryconditionsandfrictionlaws................. 12 2 Mathematicaltools16 2.1Sobolevspaces.................................. 16 2.2Vector-valuedfunctionspaces.......................... 20 2.3ElementsofanalysisinHilbertspaces..................... 21 2.3.1Variationalevolutionequationsandinequations............ 21 2.3.2BanachÂ…xedpointtheorem....................... 24 2.4Variouscomplements............................... 25 2.4.1Gronwall-typelemmas.......................... 25 3 Quasistaticprobleminelectro-viscoelasticitywithfriction27 3.1Problemformulation............................... 27 3.2Variationalformulation.............................. 29 3.3Existenceanduniquenessofthesolution.................... 34 Côte titre : MAM/0709

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