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 Normal Contact Problems with Axially-Symmetric Bodies 3 Without Adhesion 3．1 Mapping of Three-Dimensional Contact Problems onto One Dimension： The Basic Idea 3．2 The Rules of Geike and Popov and the Rules of HeB 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 Hel3 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 Waveform 4．6 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 Elastomers 7．1 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 9 Adhesion with Elastomers 10 Normal Contact of Rough Surfaces 11 Frictional Force 12 Frictional Damping 13 The Coupling to Macroscopic Dynamics 14 Acoustic Emission in Rolling Contacts 15 Coupling to the Microscale 16 And Now What? 17 Appendix 1： Exact Solutions in Three Dimensions for the Normal Contact of Axially-Symmetric Bodies 18 Appendix 2： Exact Solutions in Three Dimensions for the Tangential Contact of Axially-Symmetric Bodies 19 Appendix 3： Replacing the Material Properties with Radok's Method of Functional Equations 20 Appendix 4： Determining Two-Dimensional Power Spectrums from One-Dimensional Scans Index
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