LEADER 05476nam 2200685 450 001 9910460446003321 005 20200520144314.0 010 $a1-118-77064-1 010 $a1-118-77063-3 035 $a(CKB)3710000000402581 035 $a(EBL)1895593 035 $a(SSID)ssj0001482176 035 $a(PQKBManifestationID)11823375 035 $a(PQKBTitleCode)TC0001482176 035 $a(PQKBWorkID)11508658 035 $a(PQKB)11349838 035 $a(MiAaPQ)EBC1895593 035 $a(DLC) 2015005892 035 $a(Au-PeEL)EBL1895593 035 $a(CaPaEBR)ebr11049062 035 $a(CaONFJC)MIL779409 035 $a(OCoLC)908519953 035 $a(EXLCZ)993710000000402581 100 $a20150505h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to computational contact mechanics $ea geometrical approach /$fAlexander Konyukhov, Ridvan Izi 210 1$aChichester, England :$cWiley,$d2015. 210 4$dİ2015 215 $a1 online resource (305 p.) 225 1 $aWiley Series in Computational Mechanics 300 $aDescription based upon print version of record. 311 $a1-118-77065-X 320 $aIncludes bibliographical references and index. 327 $aCover; 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 327 $a2.2 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 327 $a3.4.1 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 ? 327 $a4.3.2 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 327 $aChapter 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 ??; 6.6 Nitsche Method; 6.6.1 Example: Independence of the Stabilization Parameter; Chapter 7 Finite Element Discretization 327 $a7.1 Computation of the Contact Integral for Various Contact Approaches 330 $aIntroduction to Computational Contact Mechanics: A Geometrical Approach covers the fundamentals of computational contact mechanics and focuses on its practical implementation. Part one of this textbook focuses on the underlying theory and covers essential information about differential geometry and mathematical methods which are necessary to build the computational algorithm independently from other courses in mechanics. The geometrically exact theory for the computational contact mechanics is described in step-by-step manner, using examples of strict derivation from a mathematical point of vi 410 0$aWiley series in computational mechanics. 606 $aContact mechanics 606 $aMechanics, Applied 608 $aElectronic books. 615 0$aContact mechanics. 615 0$aMechanics, Applied. 676 $a620.1/05 700 $aKonyukhov$b Alexander$0951170 702 $aIzi$b Ridvan 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910460446003321 996 $aIntroduction to computational contact mechanics$92150236 997 $aUNINA