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Computational Contact Mechanics [[electronic resource] ] : Geometrically Exact Theory for Arbitrary Shaped Bodies / / by Alexander Konyukhov, Karl Schweizerhof
| Computational Contact Mechanics [[electronic resource] ] : Geometrically Exact Theory for Arbitrary Shaped Bodies / / by Alexander Konyukhov, Karl Schweizerhof |
| Autore | Konyukhov Alexander |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (453 p.) |
| Disciplina | 620.105 |
| Collana | Lecture Notes in Applied and Computational Mechanics |
| Soggetto topico |
Mechanics
Mechanics, Applied Solid Mechanics Theoretical and Applied Mechanics Classical Mechanics |
| ISBN |
1-283-63140-7
9786613943859 3-642-31531-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Differential Geometry of Surfaces and Curves -- Closest Point Projection Procedure and Corresponding Curvilinear Coordinate System -- Geometry and Kinematics of Contact -- Weak Formulation of Contact Conditions -- Contact Constraints and Constitutive Equations for Contact Tractions -- Linearization of the Weak Forms – Tangent Matrices in a Covariant Form -- Surface-To-Surface Contact – Various Aspects for Implementations -- Special Case of Implementation – Reduction into 2D Case -- Implementation of Contact Algorithms with High Order FE -- Anisotropic Adhesion-Friction Models – Implementation -- Experimental Validations of the Coupled Anistropi -- Various Aspects of Implementation of the Curve-To-Curve Contact Model -- 3D-Generalization of the Euler-Eytelwein Formula Considering Pitch. |
| Record Nr. | UNINA-9910437767503321 |
Konyukhov Alexander
|
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometrically exact theory for contact interactions
| Geometrically exact theory for contact interactions |
| Autore | Konyukhov Alexander |
| Pubbl/distr/stampa | KIT Scientific Publishing, 2011 |
| Descrizione fisica | 1 electronic resource (XIX, 516 p. p.) |
| Soggetto non controllato |
geometrical methods in mechanics
computatiobal contact mechanics covariant contact description |
| ISBN | 1000022790 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346905203321 |
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Konyukhov Alexander
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| KIT Scientific Publishing, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi
| Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi |
| Autore | Konyukhov Alexander |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (305 p.) |
| Disciplina | 620.1/05 |
| Collana | Wiley Series in Computational Mechanics |
| Soggetto topico |
Contact mechanics
Mechanics, Applied |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-77064-1
1-118-77063-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Series Preface; Preface; Acknowledgments; Part I Theory; Chapter 1 Introduction with a Spring-Mass Frictionless Contact System; 1.1 Structural Part-Deflection of Spring-Mass System; 1.2 Contact Part-Non-Penetration into Rigid Plane; 1.3 Contact Formulations; 1.3.1 Lagrange Multiplier Method; 1.3.2 Penalty Method; 1.3.3 Augmented Lagrangian Method; Chapter 2 General Formulation of a Contact Problem; 2.1 Structural Part-Formulation of a Problem in Linear Elasticity; 2.1.1 Strong Formulation of Equilibrium; 2.1.2 Weak Formulation of Equilibrium
2.2 Formulation of the Contact Part (Signorini's problem)Chapter 3 Differential Geometry; 3.1 Curve and its Properties; 3.1.1 Example: Circle and its Properties; 3.2 Frenet Formulas in 2D; 3.3 Description of Surfaces by Gauss Coordinates; 3.3.1 Tangent and Normal Vectors: Surface Coordinate System; 3.3.2 Basis Vectors: Metric Tensor and its Applications; 3.3.3 Relationships between Co- and Contravariant Basis Vectors; 3.3.4 Co- and Contravariant Representation of a Vector on a Surface; 3.3.5 Curvature Tensor and Structure of the Surface; 3.4 Differential Properties of Surfaces 3.4.1 The Weingarten Formula3.4.2 The Gauss-Codazzi Formula; 3.4.3 Covariant Derivatives on the Surface; 3.4.4 Example: Geometrical Analysis of a Cylindrical Surface; Chapter 4 Geometry and Kinematics for an Arbitrary Two Body Contact Problem; 4.1 Local Coordinate System; 4.2 Closest Point Projection (CPP) Procedure-Analysis; 4.2.1 Existence and Uniqueness of CPP Procedure; 4.2.2 Numerical Solution of CPP Procedure in 2D; 4.2.3 Numerical Solution of CPP Procedure in 3D; 4.3 Contact Kinematics; 4.3.1 2D Contact Kinematics using Natural Coordinates s and ζ 4.3.2 Contact Kinematics in 3D Coordinate SystemChapter 5 Abstract Form of Formulations in Computational Mechanics; 5.1 Operator Necessary for the Abstract Formulation; 5.1.1 Examples of Operators in Mechanics; 5.1.2 Examples of Various Problems; 5.2 Abstract Form of the Iterative Method; 5.3 Fixed Point Theorem (Banach); 5.4 Newton Iterative Solution Method; 5.4.1 Geometrical Interpretation of the Newton Iterative Method; 5.5 Abstract Form for Contact Formulations; 5.5.1 Lagrange Multiplier Method in Operator Form; 5.5.2 Penalty Method in Operator Form Chapter 6 Weak Formulation and Consistent Linearization6.1 Weak Formulation in the Local Coordinate System; 6.2 Regularization with Penalty Method; 6.3 Consistent Linearization; 6.3.1 Linearization of Normal Part; 6.4 Application to Lagrange Multipliers and to Following Forces; 6.4.1 Linearization for the Lagrange Multipliers Method; 6.4.2 Linearization for Following Forces: Normal Force or Pressure; 6.5 Linearization of the Convective Variation δξ; 6.6 Nitsche Method; 6.6.1 Example: Independence of the Stabilization Parameter; Chapter 7 Finite Element Discretization 7.1 Computation of the Contact Integral for Various Contact Approaches |
| Record Nr. | UNINA-9910460446003321 |
|
Konyukhov Alexander
|
||
| Chichester, England : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi
| Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi |
| Autore | Konyukhov Alexander |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (305 pages) : illustrations |
| Disciplina | 620.1/05 |
| Collana | Wiley Series in Computational Mechanics |
| Soggetto topico |
Contact mechanics
Mechanics, Applied |
| ISBN |
1-118-77063-3
1-118-77064-1 |
| Classificazione | 414.7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795965903321 |
|
Konyukhov Alexander
|
||
| Chichester, England : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi
| Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi |
| Autore | Konyukhov Alexander |
| Pubbl/distr/stampa | Chichester, England : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (305 pages) : illustrations |
| Disciplina | 620.1/05 |
| Collana | Wiley Series in Computational Mechanics |
| Soggetto topico |
Contact mechanics
Mechanics, Applied |
| ISBN |
1-118-77063-3
1-118-77064-1 |
| Classificazione | 414.7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910821169703321 |
|
Konyukhov Alexander
|
||
| Chichester, England : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||