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Computational Contact Mechanics: Geometrically Exact Theory for Arbitrary Shaped Bodies - Couverture rigide
Synopsis
This book presents a systematic analysis of geometrical situations leading to contact pairs: point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface, and offers the associated numerical analysis as well as new analytical results.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Quatrième de couverture
Introduction to Computational Contact Mechanics: A Geometrical Approach
Alexander Konyukhov and Ridvan Izi – Karlsruhe Institute of Technology, Germany
Introduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step–by–step manner, using examples of strict derivation from a mathematical point of view. The final goal of the theory is to construct in the independent approximation form /so–called covariant form, including application to high–order and isogeometric finite elements.
The second part of a book is a practical guide for programming of contact elements and is written in such a way that makes it easy for a programmer to implement using any programming language. All programming examples are accompanied by a set of verification examples allowing the user to learn the research verification technique, essential for the computational contact analysis.
Key features:
- Covers the fundamentals of computational contact mechanics
- Covers practical programming, verification and analysis of contact problems
- Presents the geometrically exact theory for computational contact mechanics
- Describes algorithms used in well–known finite element software packages
- Describes modeling of forces as an inverse contact algorithm
- Includes practical exercises
- Contains unique verification examples such as the generalized Euler formula for a rope on a surface, and the impact problem and verification of th percussion center
- Accompanied by a website hosting software
Introduction to Computational Contact Mechanics: A Geometrical Approach is an ideal textbook for graduates and senior undergraduates, and is also a useful reference for researchers and practitioners working in computational mechanics.
Présentation de l'éditeur
Introduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step–by–step manner, using examples of strict derivation from a mathematical point of view. The final goal of the theory is to construct in the independent approximation form /so–called covariant form, including application to high–order and isogeometric finite elements.
The second part of a book is a practical guide for programming of contact elements and is written in such a way that makes it easy for a programmer to implement using any programming language. All programming examples are accompanied by a set of verification examples allowing the user to learn the research verification technique, essential for the computational contact analysis.
Key features:
- Covers the fundamentals of computational contact mechanics
- Covers practical programming, verification and analysis of contact problems
- Presents the geometrically exact theory for computational contact mechanics
- Describes algorithms used in well–known finite element software packages
- Describes modeling of forces as an inverse contact algorithm
- Includes practical exercises
- Contains unique verification examples such as the generalized Euler formula for a rope on a surface, and the impact problem and verification of thå percussion center
- Accompanied by a website hosting software
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Computational Contact Mechanics: Geometrically Exact Theory for Arbitrary Shaped Bodies (Lecture Notes in Applied and Computational Mechanics, 67)
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Computational Contact Mechanics
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Computational Contact Mechanics
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Springer Berlin Heidelberg, 2012
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Fuses differential geometry into computational contact mechanics Research monograph on computational contact mechanics formulated in a covariant form Gives the necessary introductory treatment of differential geometry for curves and surfaces. N° de réf. du vendeur 5056613
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Computational Contact Mechanics
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2012, 2012
ISBN 10 : 3642315305
ISBN 13 : 9783642315305
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation.The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics. 468 pp. Englisch. N° de réf. du vendeur 9783642315305
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Computational Contact Mechanics: Geometrically Exact Theory for Arbitrary Shaped Bodies (Lecture Notes in Applied and Computational Mechanics (67))
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Springer, 2012
ISBN 10 : 3642315305
ISBN 13 : 9783642315305
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Computational Contact Mechanics
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Aug 2012, 2012
ISBN 10 : 3642315305
ISBN 13 : 9783642315305
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Buch. Etat : Neu. Neuware -This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation.The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 468 pp. Englisch. N° de réf. du vendeur 9783642315305
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Computational Contact Mechanics : Geometrically Exact Theory for Arbitrary Shaped Bodies
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2012
ISBN 10 : 3642315305
ISBN 13 : 9783642315305
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains a systematical analysis of geometrical situations leading to contact pairs -- point-to-surface, surface-to-surface, point-to-curve, curve-to-curve and curve-to-surface. Each contact pair is inherited with a special coordinate system based on its geometrical properties such as a Gaussian surface coordinate system or a Serret-Frenet curve coordinate system. The formulation in a covariant form allows in a straightforward fashion to consider various constitutive relations for a certain pair such as anisotropy for both frictional and structural parts. Then standard methods well known in computational contact mechanics such as penalty, Lagrange multiplier methods, combination of both and others are formulated in these coordinate systems. Such formulations require then the powerful apparatus of differential geometry of surfaces and curves as well as of convex analysis. The final goals of such transformations are then ready-for-implementation numerical algorithms within the finite element method including any arbitrary discretization techniques such as high order and isogeometric finite elements, which are most convenient for the considered geometrical situation.The book proposes a consistent study of geometry and kinematics, variational formulations, constitutive relations for surfaces and discretization techniques for all considered geometrical pairs and contains the associated numerical analysis as well as some new analytical results in contact mechanics. N° de réf. du vendeur 9783642315305
Quantité disponible : 1 disponible(s)