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Synopsis
The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities.
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Hemivariational Inequalities
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Springer Berlin Heidelberg, 2012
ISBN 10 : 3642516793
ISBN 13 : 9783642516795
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Vendeur : moluna, Greven, Allemagne
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain . N° de réf. du vendeur 5063445
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Hemivariational Inequalities: Applications in Mechanics and Engineering
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Hemivariational Inequalities : Applications in Mechanics and Engineering
Edité par
Springer Berlin Heidelberg, 2012
ISBN 10 : 3642516793
ISBN 13 : 9783642516795
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities. N° de réf. du vendeur 9783642516795
Quantité disponible : 1 disponible(s)
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Hemivariational Inequalities
Edité par
Springer, Springer Mai 2012, 2012
ISBN 10 : 3642516793
ISBN 13 : 9783642516795
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The aim of the present book is the formulation, mathematical study and numerical treatment of static and dynamic problems in mechanics and engineering sciences involving nonconvex and nonsmooth energy functions, or nonmonotone and multivalued stress-strain laws. Such problems lead to a new type of variational forms, the hemivariational inequalities, which also lead to multivalued differential or integral equations. Innovative numerical methods are presented for the treament of realistic engineering problems. This book is the first to deal with variational theory of engineering problems involving nonmonotone multivalue realations, their mechanical foundation, their mathematical study (existence and certain approximation results) and the corresponding eigenvalue and optimal control problems. All the numerical applications give innovative answers to as yet unsolved or partially solved engineering problems, e.g. the adhesive contact in cracks, the delamination problem, the sawtooth stress-strain laws in composites, the shear connectors in composite beams, the semirigid connections in steel structures, the adhesive grasping in robotics, etc. The book closes with the consideration of hemivariational inequalities for fractal type geometries and with the neural network approach to the numerical treatment of hemivariational inequalities. 468 pp. Englisch. N° de réf. du vendeur 9783642516795
Quantité disponible : 1 disponible(s)
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Hemivariational Inequalities
Edité par
Springer, Springer Mai 2012, 2012
ISBN 10 : 3642516793
ISBN 13 : 9783642516795
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -InhaltsangabeI Introductory Topics.- 1 Elements of Nonsmooth Analysis.- 1.1 Convexity and Sub differential.- 1.2 Generalized Gradient and Related Calculus.- 1.3 Minimization Problems. Duality of Convex Functionals.- 1.4 Miscellanea: Fans, Quasidifferentials, Codifferentials.- II Mechanical Theory.- 2 Nonsmooth Mechanics I.- 2.1 Convex Superpotentials.- 2.2 Nonconvex Superpotentials.- 2.3 Boundary Conditions Expressed via Convex Superpotentials.- 2.4 Boundary Conditions Expressed via Nonconvex Superpotentials.- 2.5 Extensions to Function Spaces.- 3 Nonsmooth Mechanics II.- 3.1 Material Laws Expressed via Convex Superpotentials. An Overview.- 3.2 Material Laws Expressed via Nonconvex Superpotentials I.- 3.3 Material Laws Expressed via Nonconvex Superpotentials II.- 3.4 Loading and Unloading Problems. The Advantage of the Use of Superpotentials.- 3.5 Material Laws and Boundary Conditions Expressed via Fans, Quasi differentials and Codifferentials.- 4 Hemivariational Inequalities.- 4.1 The Derivation of Hemivariational Inequalities in Mechanical Problems.- 4.2 Hemivariational and Variational-Hemivariational Inequalities.- 4.3 Substationarity Problems for the Potential or the Complementary Energy.- 4.4 Loading and Unloading Problems, Eigenvalue Problems for Hemivariational Inequalities and Dynamic Problems.- 4.5 On the F-superpotential and the V-superpotential. Quasidiffer-entiability in Mechanics.- 5 Multivalued Boundary Integral Equations.- 5.1 The Indirect and the Direct Method for Nonmonotone Boundary Conditions.- 5.2 Complement for Adhesively Bonded Cracks.- III Mathematical Theory.- 6 Static Hemivariational Inequalities.- 6.1 Coercive Hemivariational Inequalities.- 6.2 Semicoercive Hemivariational Inequalities.- 6.3 On the Substationarity of the Energy.- 6.4 Variational Hemivariational Inequalities.- 6.5 Applications to Engineering Problems.- 7 Eigenvalue and Dynamic Problems.- 7.1 On the Eigenvalue Problem for Hemivariational Inequalities.- 7.2 Dynamic Hemivariational Inequalities.- 7.3 Applications to Engineering Problems: Von Kármán Plates and Thermoelasticity.- 8 Optimal Control and Identification Problems.- 8.1 Formulation of the Problem.- 8.2 Mathematical Study of the Optimal Control Problem Governed by Hemivariational Inequalities.- 8.3 Applications to Engineering Problems.- IV Numerical Applications.- 9 On the Numerical Treatment of Hemivariational Inequalities.- 9.1 The First Numerical Attempts and the Questions of Stability and Uniqueness.- 9.2 The Microspring Approximation Method of the Decreasing Branch.- 9.3 The Method of Decreasing Branch Approximation by Monotone Laws.- 9.4 Application I: Cleavage in Laminated Composites and the Non-monotone Unilateral Contact Problem.- 9.5 Application II: The Nonmonotone Friction Problem and the Combined Unilateral Contact Problem with Nonmonotone Friction.- 10 On the Approximation of Hemivariational Inequalities by Variational Inequalities.- 10.1 General Formulation of the Method.- 10.2 Application III: Nonmonotone Friction Interface Conditions with Debonding.- 10.3 Application IV:Adhesive Joints in Structural Mechanics.- 10.4 Application V: Comparison with the Path Following Method.- 10.5 Application VI: Nonmonotone Stress-Strain Laws. The Sawtooth Behaviour of Composites.- 10.6 Application VII: Shear Connectors in Composite Beams.- 11 The Method of Substationary Point Search.- 11.1 General Formulation of the Method.- 11.2 On the Numerical Implementation of the Algorithm.- 11.3 Application VIII: Delamination and Adhesive Joints in Structural Mechanics.- 11.4 Application IX: Semirigid Connections in Steel Structures.- 12 On a Decomposition Method into Two Convex Problems.- 12.1 General Formulation of the Method.- 12.2 Application X: The Stamp Problem and the Interfacial Debonding in Composites.- 13 Dynamic Hemivariational Inequalities and Crack Problems.- 13.1 Application XI: Numerical Treatment of Dynamic Hemiv. N° de réf. du vendeur 9783642516795
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Hemivariational Inequalities
Vendeur : Chiron Media, Wallingford, Royaume-Uni
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Paperback. Etat : New. N° de réf. du vendeur 6666-IUK-9783642516795
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Hemivariational Inequalities: Applications in Mechanics and Engineering
Vendeur : California Books, Miami, FL, Etats-Unis
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Hemivariational Inequalities | Applications in Mechanics and Engineering
Vendeur : preigu, Osnabrück, Allemagne
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Taschenbuch. Etat : Neu. Hemivariational Inequalities | Applications in Mechanics and Engineering | Panagiotis D. Panagiotopoulos | Taschenbuch | xvi | Englisch | 2012 | Springer | EAN 9783642516795 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 105985905
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Hemivariational Inequalities
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Etat : New. pp. 468. N° de réf. du vendeur 2658575988
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Hemivariational Inequalities: Applications in Mechanics and Engineering
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. reprint edition. 451 pages. 9.00x6.00x1.00 inches. In Stock. N° de réf. du vendeur x-3642516793
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