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ISBN: 9789048176199

The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method c… Meer...

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Variational and QuasiVariational Inequalities in Mechanics 147 Solid Mechanics and Its Applications - pocketboek

2010, ISBN: 9048176190

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Variational and Quasi-Variational Inequalities in Mechanics - pocketboek

2010, ISBN: 9048176190

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Variational and Quasi-Variational Inequalities in Mechanics - pocketboek

2010, ISBN: 9048176190

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Variational and Quasi-Variational Inequalities in Mechanics

The essential aim of this book is to consider a wide set of problems arising in the mathematical modeling of mechanical systems under unilateral constraints. In these investigations elastic and non-elastic deformations, friction and adhesion phenomena are taken into account. All the necessary mathematical tools are given: local boundary value problem formulations, construction of variational equations and inequalities and their transition to minimization problems, existence and uniqueness theorems, and variational transformations (Friedrichs and Young-Fenchel-Moreau) to dual and saddle-point search problems.

Gedetalleerde informatie over het boek. - Variational and Quasi-Variational Inequalities in Mechanics


EAN (ISBN-13): 9789048176199
ISBN (ISBN-10): 9048176190
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
352 Bladzijden
Gewicht: 0,532 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-03-02T07:28:36+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-01-22T05:11:40+01:00 (Amsterdam)
ISBN/EAN: 9789048176199

ISBN - alternatieve schrijfwijzen:
90-481-7619-0, 978-90-481-7619-9


Gegevens van de uitgever

Auteur: Alexander S. Kravchuk; Pekka J. Neittaanmäki
Titel: Solid Mechanics and Its Applications; Variational and Quasi-Variational Inequalities in Mechanics
Uitgeverij: Springer; Springer Netherland
337 Bladzijden
Verschijningsjaar: 2010-11-20
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,581 kg
Taal: Engels
139,09 € (DE)
142,99 € (AT)
153,50 CHF (CH)
POD
XIII, 337 p.

BC; Previously published in hardcover; Hardcover, Softcover / Technik/Maschinenbau, Fertigungstechnik; Maschinenbau; Verstehen; 3D; Transformation; construction; development; mathematical modeling; mechanics; modeling; modelling; operator; optimization; quality; thermodynamics; C; Mechanical Engineering; Classical Mechanics; Solid Mechanics; Computational Intelligence; Mechanical Engineering; Classical Mechanics; Solid Mechanics; Computational Intelligence; Engineering; Klassische Mechanik; Maschinenbau: Festkörpermechanik; Künstliche Intelligenz; BB

1. Notation and Basics: 1.1. Notations and Conventions; 1.2. Functional spaces; 1.3. Bases and complete systems. Existence theorem; 1.4. Trace Theorem; 1.5. The laws of thermodynamics; 2. Variational Setting of Linear Steady-state Problems: 2.1. Problem of the equilibrium of system with a finite number of degrees of Freedom; 2.2. Equilibrium of the simplest continuous systems governed by ordinary differential Equations; 2.3. 3D and 2D problems on the equilibrium of linear elastic bodies; 3.4. Positive definiteness of the potential energy of linear systems; 3.Variational Theory for Nonlinear Smooth Systems: 3.1. Examples of nonlinear systems; 3.2. Differentiation of operators and functionals; 3.3. Existence and uniqueness theorems of the minimal point of a functional; 3.4. Condition for the potentiality of an operator; 3.5. Boundary value problems in the Hencky-Ilyushin theory of plasticity without discharge; 3.6. Problems in the elastic bodies theory with finite displacements and strain; 4. Unilateral Constraints and Non-Differentiable Functionals: 4.1. Introduction: systems with finite degrees of freedom; 4.2. Variational methods in contact problems for deformed bodies without friction; 4.3. Variational method in contact problem with friction; 5. The Transformation of Variational Principles: 5.1. Friedrichs Transformation; 5.2. Equilibrium, mixed and hybrid variational principles in the theory of elasticity; 5.3. The Young-Fenchel-Moreau duality transformation; 5.4. Applications of duality transformations in contact problems; 6. Non-Stationary Problems and Thermodynamics: 6.1. Traditional principles and methods; 6.2. Gurtin’s method; 6.3. Thermodynamics and mechanics of the deformed solids; 6.4. The variational theory of adhesion and crack initiation; 7. Solution Methods and Numerical implementation: 7.1. Frictionless contact problems: finite element method (FEM); 7.2. Friction contact problems: boundaryelement method (BEM); 8. Concluding Remarks: 8.1. Modelling. Identification problem. Optimization; 8.2. Development of the contact problems with friction, wear and adhesion; 8.3. Numerical implementation of the contact interaction phenomena; References; Index.

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