Johnson K.L. Contact Mechanics

Cambridge University Press, 1987, 452 pages, ISBN 0521255767This 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.Motion and forces at a point of contact
Line loading of an elastic half-space
Point loading of an elastic half-space
Normal contact of elastic solids - Hertz theory
Non-Hertzian normal contact of elastic bodies
Normal contact of inelastic solids
Tangential loading and sliding contact
Rolling contact of elastic bodies
Rolling contact of inelastic bodies
Calendering and lubrication
Dynamic effects and impact
Thermoelastic contact
Rough surfaces