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Table of Contents
Preface to the Second English Edition; From the Preface to the First English Edition; Preface to the First German Edition; Thanks; Table of Contents; 1 Introduction; 1.1 Contact and Friction Phenomena and their Applications; 1.2 History of Contact Mechanics and the Physics of Friction; 1.3 Structure of the Book; 2 Qualitative Treatment of Contact Problems
Normal Contact without Adhesion; 2.1 Material Properties; 2.2 Simple Contact Problems; (1) Parallelepiped; (2) Thin Sheets; (3) Spherical Cap; (4) Contact between a thin elastic sheet on a rigid, cylindrical base with a rigid plane
2.3 Estimation Method for Contacts with a Three-Dimensional, Elastic Continuum(1) Contact between a rigid, cylindrical indenter and an elastic half-space; (2) Contact between a rigid sphere and an elastic half-space; (3) Contact between a rigid cylinder and an elastic half-space; (4) Contact between a rigid cone and an elastic body; Problems; 3 Qualitative Treatment of Adhesive Contacts; 3.1 Physical Background; 3.2 Calculation of the Adhesive Force between Curved Surfaces; 3.3 Qualitative Estimation of the Adhesive Force between Elastic Bodies; 3.4 Influence of Roughness on Adhesion
3.5 Adhesive Tape3.6 Supplementary Information about van der Waals Forces and Surface Energies; Problems; 4 Capillary Forces; 4.1 Surface Tension and Contact Angles; 4.2 Hysteresis of Contact Angles; 4.3 Pressure and the Radius of Curvature; 4.4 Capillary Bridges; 4.5 Capillary Force between a Rigid Plane and a Rigid Sphere; 4.6 Liquids on Rough Surfaces; 4.7 Capillary Forces and Tribology; Problems; 5 Rigorous Treatment of Contact Problems
Hertzian Contact; 5.1 Deformation of an Elastic Half-Space being Acted upon by Surface Forces; 5.2 Hertzian Contact Theory
5.3 Contact between Two Elastic Bodies with Curved Surfaces5.4 Contact between a Rigid Cone-Shaped Indenter and an Elastic Half-Space; 5.5 Internal Stresses in Hertzian Contacts; 5.6 Method of Dimensionality Reduction (MDR); Two preliminary basic steps of the MDR; Calculation steps of the MDR; Problems; 6 Rigorous Treatment of Contact Problems
Adhesive Contact; 6.1 JKR-Theory; 6.2 Adhesive Contact of Rotationally Symmetrical Bodies; Problems; 7 Contact between Rough Surfaces; 7.1 Model from Greenwood and Williamson; 7.2 Plastic Deformation of Asperities; 7.3 Electrical Contacts
7.4 Thermal Contacts7.5 Mechanical Stiffness of Contacts; 7.6 Seals; 7.7 Roughness and Adhesion; Problems; 8 Tangential Contact Problems; 8.1 Deformation of an Elastic Half-Space being Acted upon by Tangential Forces; 8.2 Deformation of an Elastic Half-Space being Acted upon by a Tangential Stress Distribution; 8.3 Tangential Contact Problems without Slip; 8.4 Tangential Contact Problems Accounting for Slip; 8.5 Absence of Slip for a Rigid Cylindrical Indenter; 8.6 Tangential Contact of Axially Symmetrical Bodies; Problems; 9 Rolling Contact
Normal Contact without Adhesion; 2.1 Material Properties; 2.2 Simple Contact Problems; (1) Parallelepiped; (2) Thin Sheets; (3) Spherical Cap; (4) Contact between a thin elastic sheet on a rigid, cylindrical base with a rigid plane
2.3 Estimation Method for Contacts with a Three-Dimensional, Elastic Continuum(1) Contact between a rigid, cylindrical indenter and an elastic half-space; (2) Contact between a rigid sphere and an elastic half-space; (3) Contact between a rigid cylinder and an elastic half-space; (4) Contact between a rigid cone and an elastic body; Problems; 3 Qualitative Treatment of Adhesive Contacts; 3.1 Physical Background; 3.2 Calculation of the Adhesive Force between Curved Surfaces; 3.3 Qualitative Estimation of the Adhesive Force between Elastic Bodies; 3.4 Influence of Roughness on Adhesion
3.5 Adhesive Tape3.6 Supplementary Information about van der Waals Forces and Surface Energies; Problems; 4 Capillary Forces; 4.1 Surface Tension and Contact Angles; 4.2 Hysteresis of Contact Angles; 4.3 Pressure and the Radius of Curvature; 4.4 Capillary Bridges; 4.5 Capillary Force between a Rigid Plane and a Rigid Sphere; 4.6 Liquids on Rough Surfaces; 4.7 Capillary Forces and Tribology; Problems; 5 Rigorous Treatment of Contact Problems
Hertzian Contact; 5.1 Deformation of an Elastic Half-Space being Acted upon by Surface Forces; 5.2 Hertzian Contact Theory
5.3 Contact between Two Elastic Bodies with Curved Surfaces5.4 Contact between a Rigid Cone-Shaped Indenter and an Elastic Half-Space; 5.5 Internal Stresses in Hertzian Contacts; 5.6 Method of Dimensionality Reduction (MDR); Two preliminary basic steps of the MDR; Calculation steps of the MDR; Problems; 6 Rigorous Treatment of Contact Problems
Adhesive Contact; 6.1 JKR-Theory; 6.2 Adhesive Contact of Rotationally Symmetrical Bodies; Problems; 7 Contact between Rough Surfaces; 7.1 Model from Greenwood and Williamson; 7.2 Plastic Deformation of Asperities; 7.3 Electrical Contacts
7.4 Thermal Contacts7.5 Mechanical Stiffness of Contacts; 7.6 Seals; 7.7 Roughness and Adhesion; Problems; 8 Tangential Contact Problems; 8.1 Deformation of an Elastic Half-Space being Acted upon by Tangential Forces; 8.2 Deformation of an Elastic Half-Space being Acted upon by a Tangential Stress Distribution; 8.3 Tangential Contact Problems without Slip; 8.4 Tangential Contact Problems Accounting for Slip; 8.5 Absence of Slip for a Rigid Cylindrical Indenter; 8.6 Tangential Contact of Axially Symmetrical Bodies; Problems; 9 Rolling Contact