包邮接触力学与摩擦学中的降维解法

1 Introduction1．1 Goal of This Book1．2 Method of Dimensionality Reduction as the Link Between the Micro- and Macro-Scales1．3 Structure of the BookReferences2 Separation of the Elastic and Inertial Propertiesin Three-Dimensional Systems2．1 Introduction2．2 The Quasi-Static State2．3 Elastic Energy as a Local Property2．4 Kinetic Energy as a Global Property2．5 ProblemsReferencesNormal Contact Problems with Axially-Symmetric Bodies3 Without Adhesion3．1 Mapping of Three-Dimensional Contact Problems onto One Dimension： The Basic Idea3．2 The Rules of Geike and Popov and the Rules of HeB for Normal Contact Problems3．3 General Mapping of Axially-Symmetric Profiles3．4 The Mapping of Stress3．5 The Mapping of Non-Axially-Symmetric Bodies3．6 ProblemsReferences4 Normal Contact with Adhesion4．1 Introduction4．2 Rule of Hel3 for the Adhesive Contact Between Axially-Symmetric Bodies4．3 The Adhesive Contact and Griffith Crack4．4 Full Reduction of the Adhesive， Elastic Contact4．5 Example： Adhesion of a Sphere with a Superimposed Radial Waveform4．6 ProblemsReferences5 Tangential Contact5．1 Introduction5．2 Tangential Contact with Friction for Parabolic Bodies5．3 Tangential Contact with Friction for Arbitrary Axially-Symmetric Bodies5．4 Mapping of Stresses in the Tangential Contact5．5 Mapping of Local Slip5．6 ProblemsReferences6 Rolling Contact6．1 The Mapping of Steady-State Rolling Contacts6．2 Rules for the Exact Mapping of Rolling Contacts6．3 Shakedown and Creep in Oscillating Rolling Contacts6．4 ProblemsReferences7 Contacts with Elastomers7．1 Introduction7．2 Stress Relaxation in Elastomers7．3 Application of the Method of Dimensionality Reduction in Viscoelastic Media： The Basic Idea7．4 Radok's Method of the Functional Equations7．5 Formulation of the Reduction Method for Linearly Viscous Elastomers7．6 The General Viscoelastic Material Law7．7 ProblemsReferences8 Heat Transfer and Heat Generation9 Adhesion with Elastomers10 Normal Contact of Rough Surfaces11 Frictional Force12 Frictional Damping13 The Coupling to Macroscopic Dynamics14 Acoustic Emission in Rolling Contacts15 Coupling to the Microscale16 And Now What? 17 Appendix 1： Exact Solutions in Three Dimensions for the Normal Contact of Axially-Symmetric Bodies18 Appendix 2： Exact Solutions in Three Dimensions for the Tangential Contact of Axially-Symmetric Bodies19 Appendix 3： Replacing the Material Properties with Radok's Method of Functional Equations20 Appendix 4： Determining Two-Dimensional Power Spectrums from One-Dimensional ScansIndex