Method of dimensionality reduction in contact mechanics and friction. ([2014])

• Record Type: Book
• Further Information: Note: Valentin L. Popov, Markus Heß ; English translation by Joshua A.T. Gray.
• Authors: Popov, Valentin L; Heß, Markus
• Contents: Foreword; Acknowledgments; Contents; Author Biographies; 1 Introduction; 1.1 Goal of This Book; 1.2 Method of Dimensionality Reduction as the Link Between the Micro- and Macro-Scales; 1.3 Structure of the Book; References; 2 Separation of the Elastic and Inertial Properties in Three-Dimensional Systems; 2.1 Introduction; 2.2 The Quasi-Static State; 2.3 Elastic Energy as a Local Property; 2.4 Kinetic Energy as a Global Property; 2.5 Problems; References; 3 Normal Contact Problems with Axially-Symmetric Bodies Without Adhesion. 3.1 Mapping of Three-Dimensional Contact Problems onto One Dimension: The Basic Idea3.2 The Rules of Geike and Popov and the Rules of Heß for Normal Contact Problems; 3.3 General Mapping of Axially-Symmetric Profiles; 3.4 The Mapping of Stress; 3.5 The Mapping of Non-Axially-Symmetric Bodies; 3.6 Problems; References; 4 Normal Contact with Adhesion; 4.1 Introduction; 4.2 Rule of Heß for the Adhesive Contact Between Axially-Symmetric Bodies; 4.3 The Adhesive Contact and Griffith Crack; 4.4 Full Reduction of the Adhesive, Elastic Contact. 4.5 Example: Adhesion of a Sphere with a Superimposed Radial Waveform4.6 Problems; References; 5 Tangential Contact; 5.1 Introduction; 5.2 Tangential Contact with Friction for Parabolic Bodies; 5.3 Tangential Contact with Friction for Arbitrary Axially-Symmetric Bodies; 5.4 Mapping of Stresses in the Tangential Contact; 5.5 Mapping of Local Slip; 5.6 Problems; References; 6 Rolling Contact; 6.1 The Mapping of Steady-State Rolling Contacts; 6.2 Rules for the Exact Mapping of Rolling Contacts; 6.3 Shakedown and Creep in Oscillating Rolling Contacts; 6.4 Problems; References. 7 Contacts with Elastomers7.1 Introduction; 7.2 Stress Relaxation in Elastomers; 7.3 Application of the Method of Dimensionality Reduction in Viscoelastic Media: The Basic Idea; 7.4 Radok's Method of the Functional Equations; 7.5 Formulation of the Reduction Method for Linearly Viscous Elastomers; 7.6 The General Viscoelastic Material Law; 7.7 Problems; References; 8 Heat Transfer and Heat Generation; 8.1 Thermal Conductivity and Resistance; 8.2 Temperature Distribution for a Point Heat Source on a Conductive Half-Space. 8.3 The Universal Dependence of Thermal Conductivity and Contact Stiffness8.4 The Implementation of the Steady-State Current Flow Within the Framework of the Reduction Method; 8.5 Heat Generation and Temperature in the Contact of Elastic Bodies; 8.6 Heat Generation and Temperature in the Contact of Viscoelastic Bodies; 8.7 Problems; References; 9 Adhesion with Elastomers; 9.1 Introduction; 9.2 Stress Concentration Near the Boundary of an Adhesive Contact; 9.3 Deformation Criterion; 9.4 Stress Criterion; 9.5 Adhesive Contacts Without Initial Stress; 9.6 Problems; References.
• Publisher Details: Heidelberg : Springer
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (xvii, 265 pages), illustrations (some color)
• Subjects: 620.105; Contact mechanics; Friction; Dimension reduction (Statistics); TECHNOLOGY & ENGINEERING -- Engineering (General); TECHNOLOGY & ENGINEERING -- Reference; Contact mechanics; Dimension reduction (Statistics); Friction; Electronic books
• Languages: English
• ISBNs: 9783642538766; 3642538762; 3642538754; 9783642538759
• Related ISBNs: 9783642538759
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 25, 2014).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.