Coverart for item
The Resource Method of dimensionality reduction in contact mechanics and friction, Valentin L. Popov, Markus Heß ; English translation by Joshua A.T. Gray

Method of dimensionality reduction in contact mechanics and friction, Valentin L. Popov, Markus Heß ; English translation by Joshua A.T. Gray

Label
Method of dimensionality reduction in contact mechanics and friction
Title
Method of dimensionality reduction in contact mechanics and friction
Statement of responsibility
Valentin L. Popov, Markus Heß ; English translation by Joshua A.T. Gray
Creator
Contributor
Author
Subject
Language
eng
Summary
This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resulting degrees of freedom are independent from another. Therefore, MDR results in an enormous reduction of
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Popov, Valentin L
Dewey number
620.105
Illustrations
illustrations
Index
index present
LC call number
TA353
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Heß, Markus
http://library.link/vocab/subjectName
  • Contact mechanics
  • Friction
  • Dimension reduction (Statistics)
  • Engineering
  • Continuum Mechanics and Mechanics of Materials
  • Operating Procedures, Materials Treatment
  • Engineering Design
  • Appl. Mathematics/Computational Methods of Engineering
Label
Method of dimensionality reduction in contact mechanics and friction, Valentin L. Popov, Markus Heß ; English translation by Joshua A.T. Gray
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (xvii, 265 pages)
File format
unknown
Form of item
online
Isbn
9783642538759
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-53876-6
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • SPR889439363
  • ocn889439363
Label
Method of dimensionality reduction in contact mechanics and friction, Valentin L. Popov, Markus Heß ; English translation by Joshua A.T. Gray
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (xvii, 265 pages)
File format
unknown
Form of item
online
Isbn
9783642538759
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-53876-6
Other physical details
illustrations (some color)
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • SPR889439363
  • ocn889439363

Library Locations

Processing Feedback ...