Contact MechanicsThis treatise is concerned with the stresses and deformation of solid bodies in contact with each other, along curved surfaces which touch initially at a point or along a line. Examples are a railway wheel and rail, or a pair of gear wheel teeth. Professor Johnson first reviews the development of the theory of contact stresses since the problem was originally addressed by H. Hertz in 1882. Next he discusses the influence of friction and the topographical roughness of surfaces, and this is incorporated into the theory of contact mechanics. An important feature is the treatment of bodies which deform plastically or viscoelastically. In addition to stationary contact, an appreciable section of the book is concerned with bodies which are in sliding or rolling contact, or which collide. |
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Inhalt
Line loading of an elastic halfspace | 11 |
Point loading of an elastic halfspace | 45 |
1 | 47 |
2 | 77 |
3 | 104 |
NonHertzian normal contact of elastic bodies | 107 |
10 | 113 |
1 | 140 |
An elastic strip between rollers | 312 |
Dynamic effects and impact | 340 |
Contact resonance | 349 |
Inelastic impact | 361 |
Travelling loads high speed sliding and rolling | 369 |
Temperature distributions in a conducting halfspace | 375 |
Contact between bodies at different temperatures | 383 |
Frictional heating and thermoelastic instability | 391 |
Normal contact of inelastic solids | 153 |
2 | 180 |
1 | 196 |
Tangential loading and sliding contact | 202 |
12 | 207 |
Rolling contact of elastic bodies | 242 |
Elastic hysteresis | 284 |
Rough surfaces | 397 |
Characteristics of random rough surfaces | 406 |
Elastic contact of rough curved surfaces | 416 |
Appendices | 424 |
Linear creep coefficients | 431 |
452 | |
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adhesive angle applied approximation asperities axi-symmetric bodies circular coefficient of friction compression contact area contact pressure contact problems contact region contact stresses creep curvature curve cylinder deflexion distribution of traction edge elastic constants elastic half-space elastic modulus elastic-plastic element elliptical expressed flat force Q frictional traction frictionless given by equation Hertz theory impact indentation infinite integral interface layer line contact material maximum micro-slip modulus normal displacement normal force normal load normal pressure plane strain plastic deformation Poisson's ratio pressure distribution principal stress punch radial radius ratio residual stresses rigid rollers rolling contact shear stress shown in Fig sliding slip lines slip-line field ſº solid solids of revolution solution sphere stick region stress components strip surface displacements surface tractions tangential displacement tangential force tangential traction temperature two-dimensional uniform unloading variation velocity viscoelastic wedge face yield yield stress zero zone