VARIATIONAL STUDY OF A FRICTIONLESS CONTACT PROBLEM WITH ELECTRICAL EFFECTS / Baya Tobbal

Public ISBD Titre : VARIATIONAL STUDY OF A FRICTIONLESS CONTACT PROBLEM WITH ELECTRICAL EFFECTS Type de document : texte imprimé Auteurs : Baya Tobbal, Auteur ; N Bensebaa, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2024 Importance : 1 vol (46 f.) Format : 29 cm Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Electro-viscoelastic material Quasistatic process Normal compliance Frictionless contact Weak solution Fixed point. Index. décimale : 510-Mathématique Résumé : In this memoir, we study a contact problem for a viscoelastic material with electrical effects in a quasistatic process. The contact is modeled by a normal compliance and a frictionless contact condition. We present a variational formulation of the model and prove the existence and uniqueness of a weak solution. The proofs are based on the nonlinear equations involving monotone operators, as well as on fixed-point arguments. Finally, we prove the convergence of the problem's solution when we introduce a perturbation of certain data. Note de contenu : Sommaire Notations 6 1 MODELINGANDTOOLSMATHEMATICS 8 1.1 Modeling . ................................. 9 1.1.1 Physicalsetting . .......................... 9 1.1.2 Equationofmotion . ........................ 10 1.1.3 Constitutivelaw . ......................... 10 1.1.4 Boundaryconditions . ...................... 11 1.2 Mathematicstools . ............................ 15 1.2.1 Functionalspaces . ........................ 15 1.2.2 ElementsofnonlinearanalysisinHilbertspaces . ...... 22 1.2.3 Variouscomplements . ...................... 25 2 AFRICTIONLESSCONTACTPROBLEMFORELECTROVISCOELAS- TICITY 27 2.1 Positionoftheproblem . ......................... 28 2.2 Variationalformulation . ......................... 31 2.3 Existenceanduniquenessresults . ................... 33 2.4 Convergenceresults . .......................... 41 Côte titre : MAM/0710 VARIATIONAL STUDY OF A FRICTIONLESS CONTACT PROBLEM WITH ELECTRICAL EFFECTS [texte imprimé] / Baya Tobbal, Auteur ; N Bensebaa, Directeur de thèse . - [S.l.] : Sétif:UFS, 2024 . - 1 vol (46 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Electro-viscoelastic material Quasistatic process Normal compliance Frictionless contact Weak solution Fixed point. Index. décimale : 510-Mathématique Résumé : In this memoir, we study a contact problem for a viscoelastic material with electrical effects in a quasistatic process. The contact is modeled by a normal compliance and a frictionless contact condition. We present a variational formulation of the model and prove the existence and uniqueness of a weak solution. The proofs are based on the nonlinear equations involving monotone operators, as well as on fixed-point arguments. Finally, we prove the convergence of the problem's solution when we introduce a perturbation of certain data. Note de contenu : Sommaire Notations 6 1 MODELINGANDTOOLSMATHEMATICS 8 1.1 Modeling . ................................. 9 1.1.1 Physicalsetting . .......................... 9 1.1.2 Equationofmotion . ........................ 10 1.1.3 Constitutivelaw . ......................... 10 1.1.4 Boundaryconditions . ...................... 11 1.2 Mathematicstools . ............................ 15 1.2.1 Functionalspaces . ........................ 15 1.2.2 ElementsofnonlinearanalysisinHilbertspaces . ...... 22 1.2.3 Variouscomplements . ...................... 25 2 AFRICTIONLESSCONTACTPROBLEMFORELECTROVISCOELAS- TICITY 27 2.1 Positionoftheproblem . ......................... 28 2.2 Variationalformulation . ......................... 31 2.3 Existenceanduniquenessresults . ................... 33 2.4 Convergenceresults . .......................... 41 Côte titre : MAM/0710

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VARIATIONAL STUDY OF A FRICTIONLESS CONTACT PROBLEM WITH ELECTRICAL EFFECTS / Baya Tobbal

Public ISBD Titre : VARIATIONAL STUDY OF A FRICTIONLESS CONTACT PROBLEM WITH ELECTRICAL EFFECTS Type de document : texte imprimé Auteurs : Baya Tobbal, Auteur ; N Bensebaa, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2024 Importance : 1 vol (46 f.) Format : 29 cm Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Electro-viscoelastic material Quasistatic process Normal compliance Frictionless contact Weak solution Fixed point. Index. décimale : 510-Mathématique Résumé : In this memoir, we study a contact problem for a viscoelastic material with electrical effects in a quasistatic process. The contact is modeled by a normal compliance and a frictionless contact condition. We present a variational formulation of the model and prove the existence and uniqueness of a weak solution. The proofs are based on the nonlinear equations involving monotone operators, as well as on fixed-point arguments. Finally, we prove the convergence of the problem's solution when we introduce a perturbation of certain data. Note de contenu : Sommaire Notations 6 1 MODELINGANDTOOLSMATHEMATICS 8 1.1 Modeling . ................................. 9 1.1.1 Physicalsetting . .......................... 9 1.1.2 Equationofmotion . ........................ 10 1.1.3 Constitutivelaw . ......................... 10 1.1.4 Boundaryconditions . ...................... 11 1.2 Mathematicstools . ............................ 15 1.2.1 Functionalspaces . ........................ 15 1.2.2 ElementsofnonlinearanalysisinHilbertspaces . ...... 22 1.2.3 Variouscomplements . ...................... 25 2 AFRICTIONLESSCONTACTPROBLEMFORELECTROVISCOELAS- TICITY 27 2.1 Positionoftheproblem . ......................... 28 2.2 Variationalformulation . ......................... 31 2.3 Existenceanduniquenessresults . ................... 33 2.4 Convergenceresults . .......................... 41 Côte titre : MAM/0710 VARIATIONAL STUDY OF A FRICTIONLESS CONTACT PROBLEM WITH ELECTRICAL EFFECTS [texte imprimé] / Baya Tobbal, Auteur ; N Bensebaa, Directeur de thèse . - [S.l.] : Sétif:UFS, 2024 . - 1 vol (46 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Thèses & Mémoires:Mathématique Mots-clés : Electro-viscoelastic material Quasistatic process Normal compliance Frictionless contact Weak solution Fixed point. Index. décimale : 510-Mathématique Résumé : In this memoir, we study a contact problem for a viscoelastic material with electrical effects in a quasistatic process. The contact is modeled by a normal compliance and a frictionless contact condition. We present a variational formulation of the model and prove the existence and uniqueness of a weak solution. The proofs are based on the nonlinear equations involving monotone operators, as well as on fixed-point arguments. Finally, we prove the convergence of the problem's solution when we introduce a perturbation of certain data. Note de contenu : Sommaire Notations 6 1 MODELINGANDTOOLSMATHEMATICS 8 1.1 Modeling . ................................. 9 1.1.1 Physicalsetting . .......................... 9 1.1.2 Equationofmotion . ........................ 10 1.1.3 Constitutivelaw . ......................... 10 1.1.4 Boundaryconditions . ...................... 11 1.2 Mathematicstools . ............................ 15 1.2.1 Functionalspaces . ........................ 15 1.2.2 ElementsofnonlinearanalysisinHilbertspaces . ...... 22 1.2.3 Variouscomplements . ...................... 25 2 AFRICTIONLESSCONTACTPROBLEMFORELECTROVISCOELAS- TICITY 27 2.1 Positionoftheproblem . ......................... 28 2.2 Variationalformulation . ......................... 31 2.3 Existenceanduniquenessresults . ................... 33 2.4 Convergenceresults . .......................... 41 Côte titre : MAM/0710

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