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Mathematical Models in Contact Mechanics.

A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sofonea, Mircea
Otros Autores: Matei, Andaluzia
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:London Mathematical Society lecture note series.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Mathematical Models in Contact Mechanics. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2012. 
300 |a 1 online resource (296 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a London Mathematical Society Lecture Note Series 
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505 0 |a Cover; Series; Title; Copyright; Dedication; Contents; Preface; Part I Introduction to variational inequalities; 1 Preliminaries on functional analysis; 1.1 Normed spaces; 1.1.1 Basic definitions; 1.1.2 Linear continuous operators; 1.1.3 Fixed point theorems; 1.2 Hilbert spaces; 1.2.1 Projection operators; 1.2.2 Orthogonality; 1.2.3 Duality and weak convergence; 1.3 Elements of nonlinear analysis; 1.3.1 Monotone operators; 1.3.2 Convex lower semicontinuous functions; 1.3.3 Minimization problems; 2 Elliptic variational inequalities; 2.1 Variational inequalities of the first kind. 
505 8 |a 2.1.1 Existence and uniqueness2.1.2 Penalization; 2.2 Variational inequalities of the second kind; 2.2.1 Existence and uniqueness; 2.2.2 A convergence result; 2.2.3 Regularization; 2.3 Quasivariational inequalities; 2.3.1 The Banach fixed point argument; 2.3.2 The Schauder fixed point argument; 2.3.3 A convergence result; 3 History-dependent variational inequalities; 3.1 Nonlinear equations with history-dependent operators; 3.1.1 Spaces of vector-valued functions; 3.1.2 Two examples; 3.1.3 The general case; 3.2 History-dependent quasivariational inequalities. 
505 8 |a 3.2.1 A basic existence and uniqueness result3.2.2 A convergence result; 3.3 Evolutionary variational inequalities; 3.3.1 Existence and uniqueness; 3.3.2 Convergence results; Part II Modelling and analysis of contact problems; 4 Modelling of contact problems; 4.1 Function spaces in contact mechanics; 4.1.1 Preliminaries; 4.1.2 Spaces for the displacement field; 4.1.3 Spaces for the stress field; 4.1.4 Spaces for piezoelectric contact problems; 4.2 Physical setting and constitutive laws; 4.2.1 Physical setting; 4.2.2 Elastic constitutive laws; 4.2.3 Viscoelastic constitutive laws. 
505 8 |a 4.2.4 Viscoplastic constitutive laws4.2.5 The von Mises convex; 4.3 Modelling of elastic contact problems; 4.3.1 Preliminaries; 4.3.2 Contact conditions; 4.3.3 Friction laws; Conclusion; 4.4 Modelling of elastic-viscoplastic contact problems; 4.4.1 Preliminaries; 4.4.2 Contact conditions and friction laws; Conclusion; 4.5 Modelling of piezoelectric contact problems; 4.5.1 Physical setting and preliminaries; 4.5.2 Constitutive laws; 4.5.3 Contact conditions; Conclusion; 5 Analysis of elastic contact problems; 5.1 The Signorini contact problem; 5.1.1 Problem statement. 
505 8 |a 5.1.2 Existence and uniqueness5.1.3 Penalization; 5.1.4 Dual variational formulation; 5.1.5 Minimization; 5.1.6 One-dimensional example; 5.2 Frictional contact problems; 5.2.1 Statement of the problems; 5.2.2 Existence and uniqueness; 5.2.3 A convergence result; 5.2.4 Regularization; 5.2.5 Dual variational formulation; 5.2.6 Minimization; 5.3 A frictional contact problem with normal compliance; 5.3.1 Problem statement; 5.3.2 The Banach fixed point argument; 5.3.3 The Schauder fixed point argument; 5.3.4 Convergence results; 6 Analysis of elastic-viscoplastic contact problems. 
500 |a 6.1 Bilateral frictionless contact problems. 
520 |a A complete introduction to the modelling and mathematical analysis of contact processes with deformable solids. 
504 |a Includes bibliographical references and index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Contact mechanics  |x Mathematical models. 
650 6 |a Mécanique du contact  |x Modèles mathématiques. 
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650 7 |a Contact mechanics  |x Mathematical models  |2 fast 
700 1 |a Matei, Andaluzia. 
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