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zhq025

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[资源] Contact mechanics

Contents

Preface
1 Motion and forces at a point of contact
1.1 Frame of reference
1.2 Relative motion of the surfaces - sliding, rolling and spin
1.3 Forces transmitted at a point of contact
1.4 Surface tractions
1.5 Examples A) involute spur gears
B) angular contact ball bearings
2 Line loading of an elastic half-space
2.1 The elastic half-space
2.2 Concentrated normal force
2.3 Concentrated tangential force
2.4 Distributed normal and tangential tractions
2.5 Uniform distributions of traction
2.6 Triangular distributions of traction
2.7 Displacements specified in the loaded region
2.8 Indentation by a rigid flat punch
2.9 Traction parallel to the ^-axis
3 Point loading of an elastic half-space
3.1 Potential functions of Boussinesq and Cerruti
3.2 Concentrated normal force
3.3 Pressure applied to a polygonal region
3.4 Pressure applied to a circular region
3.5 Pressure applied to an elliptical region
3.6 Concentrated tangential force
3.7 Unidirectional tangential tractions on elliptical and
circular regions
3.8 Axi-syrnmetrieal tractions
3.9 Torsional loHilin»
4 Normal contact of elastic solids - Hertz theory 84
4.1 Geometry of smooth, non-conforming surfaces in contact 84
4.2 Hertz theory of elastic contact 90
4.3 Elastic foundation model 104
5 Non-Hertzian normal contact of elastic bodies 107
5.1 Stress conditions at the edge of contact 107
5.2 Blunt wedges and cones 111
5.3 Conforming surfaces ] 14
5.4 Influence of interfacial friction 119
5.5 Adhesion between elastic bodies 125
5.6 Contact of cylindrical bodies 129
5.7 Anisotropic and inhomogeneous materials 134
5.8 Layered solids, plates and sheUs 136
5.9 Numerical methods 144
6 Normal contact of inelastic solids 153
6.1 Onset of plastic yield 153
6.2 Contact of rigid-perfectly-plastic solids 157
6.3 Elastic-plastic indentation 171
6.4 Unloading of a plastic indentation, cyclic loading and
residual stresses 179
6.5 Linear viscoelastic materials 184
6.6 Nonlinear elasticity and creep 196
7 Tangential loading and sliding contact 202
7.1 Sliding of non-conforming elastic bodies 202
7.2 Incipient sliding of elastic bodies 210
7.3 Simultaneous variation of normal and tangential forces 220
7.4 Oscillating forces 224
7.5 Torsion of elastic spheres in contact 231
7.6 Sliding of rigid-perfectly-plastic bodies 233
8 Rolling contact of elastic bodies 242
8.1 Micro-slip and creep 242
8.2 Freely rolling bodies having dissimilar elastic properties 246
8.3 Tractive rolling of elastic cylinders 252
8.4 Rolling with traction and spin of three-dimensional bodies 256
8.5 A ball rolling in a conforming groove 268
8.6 Transient behaviour in rolling 271
8.7 Elastic foundation model of rolling contact 275
8.8 Pneumatic tyres 277
9 Rolling contact of inelastic bodies
9.1 Elastic hysteresis
9.2 Elastic-plastic materials: shakedown
9.3 Rolling of a rigid cylinder on a perfectly plastic half-space
9.4 Rolling contact of viscoelastic bodies
9.5 Rolling friction
10 Calendering and lubrication
10.1 An elastic strip between rollers
10.2 Onset of plastic flow in a thin strip
10.3 Plastic roEing of strip
10.4 Lubrication of rollers
11 Dynamic effects and impact
11.1 Stress waves in solids
11.2 Dynamic loading of an elastic half-space
11.3 Contact resonance
11.4 Elastic impact
11.5 Inelastic impact
11.6 Travelling loads - high speed sliding and rolling
12 Thermoelastie contact
12.1 Introduction
12.2 Temperature distributions in a conducting half-space
12.3 Steady thermoelastic distortion of a half-space
12.4 Contact between bodies at different temperatures
12.5 Frictional heating and thermoelastic instability
13 Rough surfaces
13.1 Real and apparent contact
13.2 Contact of regular wavy surfaces
13.3 Characteristics of random rough surfaces
13.4 Contact of nominally flat rough surfaces
13.5 Elastic contact of rough curved surfaces
Appendices
1 Cauchy Principal Values of some useful integrals
2 Geometry of smooth non-conforming surfaces in contact
3 Summary of Hertz elastic contact stress formulae
4 Subsurface stresses in line contact
5 Linear creep coefficients
References and author index
Subject index

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[ Last edited by zhq025 on 2008-1-16 at 10:37 ]

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