Variational Study of a class of quasistatic electro -viscoelastic problem with inelateral contact without friction / Chourouk Houbari

Public ISBD 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

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Variational Study of a class of quasistatic electro -viscoelastic problem with inelateral contact without friction / Chourouk Houbari

Public ISBD 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

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