Contact mechanics / K.L. Johnson.

Format:

Book

Author/Creator:

Johnson, K. L. (Kenneth Langstreth), 1925- author.

Language:

English

Subjects (All):

Mechanics, Applied.

Surfaces (Technology).

Rolling contact.

Contact mechanics.

Physical Description:

1 online resource (xi, 452 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 1985.

Language Note:

English

Summary:

This 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.

Contents:

Cover

Half Title

Title Page

Copyright

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

(1) involute spur gears

(2) 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 y-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 Uni-directional tangential tractions on elliptical and circular regions

3.8 Axi-symmetrical tractions

3.9 Torsional loading

4 Normal contact of elastic solids - Hertz theory

4.1 Geometry of smooth, non-conforming surfaces in contact

4.2 Hertz theory of elastic contact

4.3 Elastic foundation model

5 Non-Hertzian normal contact of elastic bodies

5.1 Stress conditions at the edge of contact

5.2 Blunt wedges and cones

5.3 Conforming surfaces

5.4 Influence of interfacial friction

5.5 Adhesion between elastic bodies

5.6 Contact of cylindrical bodies

5.7 Anisotropic and inhomogeneous materials

5.8 Layered solids, plates and shells

5.9 Numerical methods

6 Normal contact of inelastic solids

6.1 Onset of plastic yield.

6.2 Contact of rigid-perfectly-plastic solids

6.3 Elastic-plastic indentation

6.4 Unloading of a plastic indentation, cyclic loading and residual stresses

6.5 Linear viscoelastic materials

6.6 Nonlinear elasticity and creep

7 Tangential loading and sliding contact

7.1 Sliding of non-conforming elastic bodies

7.2 Incipient sliding of elastic bodies

7.3 Simultaneous variation of normal and tangential forces

7.4 Oscillating forces

7.5 Torsion of elastic spheres in contact

7.6 Sliding of rigid-perfectly-plastic bodies

8 Rolling contact of elastic bodies

8.1 Micro-slip and creep

8.2 Freely rolling bodies having dissimilar elastic properties

8.3 Tractive rolling of elastic cylinders

8.4 Rolling with traction and spin of three-dimensional bodies

8.5 A ball rolling in a conforming groove

8.6 Transient behaviour in rolling

8.7 Elastic foundation model of rolling contact

8.8 Pneumatic tyres

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 rolling 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 Thermoelastic 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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

ISBN:

1-139-92998-4

1-139-92711-6

1-61583-218-1

1-139-17173-9

OCLC:

935274442