Titre :	Variational Study of a class of quasistatic electro -viscoelastic problem with inelateral contact without friction
Type de document :	texte imprimé
Auteurs :	Chourouk Houbari, Auteur ; Nadhir Chougui, Directeur de thèse
Editeur :	Sétif:UFS
Année de publication :	2024
Importance :	1 vol (53 f.)
Format :	29 cm
Langues :	Anglais (eng)
Catégories :	Thèses & Mémoires:Mathématique
Mots-clés :	Elecro-viscoelastic materials Frictionless contact Ignoring conditions Maximal monotone operators weak solution
Index. décimale :	510-Mathématique
Résumé :	This study considered a mathematical model to describe the process of a quasi-static contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material was modeled with a nonlinear electro-viscoelastic constitutive law, the contact was frictionless, and the result was described with the Signorini condition. A variational formulation was derived for the problem, proving the existence and uniqueness of a weak solution of the model. The proof was based on arguments for nonlinear equations with maximal monotone operators.
Note de contenu :	Sommaire Introduction1 1 ModelingandmathematicalTools4 1.1Physicalframwork-Mathemaicalmodel................. 4 1.1.1Physicalframwork........................ 4 1.1.2Mathematicalmodel....................... 8 1.1.3TheLawsofbehavoir....................... 10 1.1.4ContactBoundarycondition................... 12 1.1.5Contactwithorwithoutfriction................. 15 1.2Recalleofsomemathematicalconceptes................ 17 1.2.1Functionalspace......................... 17 1.2.2SpacesRelatedtodeformationanddivergenceoperators... 20 1.2.3ElementsofNonlinearAnalysisinHilbertspaces....... 25 1.2.4Di¤erentialinclusions....................... 29 1.2.5Statementofcertaintheorems.................. 30 2 Aquasistaticelectro-viscoelasticproblemwithunilateralcontact withoutfriction33 2.1problemstatement............................ 33 2.2Variationalformulation.......................... 40 2.3Existenceanduniquenssresult...................... 42
Côte titre :	MAM/0706

Variational Study of a class of quasistatic electro -viscoelastic problem with inelateral contact without friction [texte imprimé] / Chourouk Houbari, Auteur ; Nadhir Chougui, Directeur de thèse . - [S.l.] : Sétif:UFS, 2024 . - 1 vol (53 f.) ; 29 cm.
Langues : Anglais (eng)

Catégories :	Thèses & Mémoires:Mathématique
Mots-clés :	Elecro-viscoelastic materials Frictionless contact Ignoring conditions Maximal monotone operators weak solution
Index. décimale :	510-Mathématique
Résumé :	This study considered a mathematical model to describe the process of a quasi-static contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material was modeled with a nonlinear electro-viscoelastic constitutive law, the contact was frictionless, and the result was described with the Signorini condition. A variational formulation was derived for the problem, proving the existence and uniqueness of a weak solution of the model. The proof was based on arguments for nonlinear equations with maximal monotone operators.
Note de contenu :	Sommaire Introduction1 1 ModelingandmathematicalTools4 1.1Physicalframwork-Mathemaicalmodel................. 4 1.1.1Physicalframwork........................ 4 1.1.2Mathematicalmodel....................... 8 1.1.3TheLawsofbehavoir....................... 10 1.1.4ContactBoundarycondition................... 12 1.1.5Contactwithorwithoutfriction................. 15 1.2Recalleofsomemathematicalconceptes................ 17 1.2.1Functionalspace......................... 17 1.2.2SpacesRelatedtodeformationanddivergenceoperators... 20 1.2.3ElementsofNonlinearAnalysisinHilbertspaces....... 25 1.2.4Di¤erentialinclusions....................... 29 1.2.5Statementofcertaintheorems.................. 30 2 Aquasistaticelectro-viscoelasticproblemwithunilateralcontact withoutfriction33 2.1problemstatement............................ 33 2.2Variationalformulation.......................... 40 2.3Existenceanduniquenssresult...................... 42
Côte titre :	MAM/0706