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Computational Contact Mechanics: Geometrically Exact Theory for Arbitrary Shaped Bodies

Kataloginformation Katalogdatensatz500177101 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
Hinweise auf parallele Ausgaben	371753732 Buchausg. u.d.T.: ‡Konyukhov, Alexander: Computational contact mechanics
ISBN	978-3-642-31530-5
Name	Konyukhov, Alexander
Name	Schweizerhof, Karl
ANZEIGE DER KETTE	Schweizerhof, Karl
T I T E L	Computational Contact Mechanics
Zusatz zum Titel	Geometrically Exact Theory for Arbitrary Shaped Bodies
Verlagsort	Berlin, Heidelberg
Verlag	Springer
Erscheinungsjahr	2013
Erscheinungsjahr	2013
Umfang	Online-Ressource (XXII, 446 p. 280 illus, digital)
Reihe	Lecture Notes in Applied and Computational Mechanics ; 67
Reihe	Lecture notes in applied and computational mechanics
Band	67
Notiz / Fußnoten	Description based upon print version of record
Weiterer Inhalt	Title; Preface; Personal Acknowledgments; Contents; Introduction; Overview of Approaches to Model Contact Problems; Discussion - Why Covariant Approach?; On Geometrical Approaches in Contact Mechanics; Goals and Structure of the Book; Structure of the Current Book; Differential Geometry of Surfaces and Curves; Definition of the Surface and Its Geometrical Characteristics; The Fundamental Tensors and Property of the Surface; Study the Local Surface Structure; Differential Operations in the Surface Coordinate System; Definition of the Curve in 3D and Its Geometrical Characteristics. Definition of a Local Coordinate (Serret-Frenet) System. Serret-Frenet FormulasClosest Point Projection Procedure and Corresponding Curvilinear Coordinate System; Closest Point Projection Procedure for Arbitrary Surfaces; Formulation of the Closest Point Projection Procedure in Geometrical Terms; Proximity Criteria for Different Surfaces; Solvability of the CPP Procedure for Surfaces - Allowable and Non-Allowable Domains; Reduction to 2D Plane Geometry - Solvability Criteria and Uniqueness; Proximity Domain for Globally C0-Continuous Surface in 3D. Reference Example: Projection Domain for a Hyperbolical SurfaceClosest Point Projection Procedure for Point-To-Curve Projection and Corresponding Projection Domain; Closest Point Projection Procedure for Curve-To-Curve Contact and Definition of Local Coordinate Systems; Definition of a Local Coordinate System Attached to a Curve; Analysis of Uniqueness and Existence of Solutions for the CPP: Definition of a Projection Domain; Computational Issues of the CPP Procedure; Geometry and Kinematics of Contact; Kinematics of the Surface-To-Surface Interaction; Local Surface Coordinate System. Spatial Curvilinear Local Coordinate System and Its CharacteristicsMeasure of Contact Interaction for Surface-To-Surface Contact; Spatial Basis Vectors and Metric Tensor; Motion of a Slave Point; Geometrical Interpretation of Covariant Derivative and Numerical Realization; Variation 3 and Its Linearization; Variation i and Its Linearization; Kinematics of 2D Contact Interaction; Closest Point Projection Procedure and Corresponding Coordinate System; 2D Contact Kinematics; Linearization of Variations and. Kinematics of Segment (Deformable)-To-Analytical (Rigid) Surfaces Contact (STAS) - Two StrategiesRigid Surface Is a ``Slave'' Surface; Rigid Surface Is a ``Master'' Surface; Surfaces Allowing a Closed Form Solution for the Penetration; Kinematics of Point-To-Curve Interaction; Kinematics of Curve-To-Curve Interaction; Development of Beam-To-Beam and Edge-To-Edge Contact; Measures of Contact Interaction; Rates and Variations of Measures for Contact Interaction; Linearization in a Covariant Form of Variations for Contact Measures; Kinematics of the Curve-To-Rigid-Surface Interaction. Weak Formulation of Contact Conditions
Titelhinweis	Buchausg. u.d.T.: ‡Konyukhov, Alexander: Computational contact mechanics
ISBN	ISBN 978-3-642-31531-2
Klassifikation	TG
	TEC009070
	TEC021000
	*74-02
	74M15
	74M10
	70S05
	620.1
	TA405-409.3
	QA808.2
	UF 3000
Kurzbeschreibung	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.
1. Schlagwortkette	Kontaktmechanik
1. Schlagwortkette	Numerisches Verfahren
SWB-Titel-Idn	373432747
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-642-31531-2
Internetseite / Link	Volltext
Siehe auch	Inhaltsverzeichnis
Siehe auch	Inhaltstext
Siehe auch	Volltext
Siehe auch	Cover
Siehe auch	Inhaltstext

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