| 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
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| Record Nr. | UNINA-9910460446003321 |
Info
Introduction to computational contact mechanics : a geometrical approach / / Alexander Konyukhov, Ridvan Izi
