Overview

A systematic treatment, based on Green's functions and integral equations, is given to the analytical and numerical methods and results for a great number of 3-D contact problems for elastic bodies. Semi-bounded elastic bodies (layer, cylinder, space with cylindrical or spherical cavity, 3-D wedge, special cases of which are half- and quarter-spaces, cone) and finite elastic bodies (circular plate, finite cylinder, spherical layer, spherical lens, sphere) are considered. Methods introduced in the book can also be applied in fracture mechanics, hydrodynamics, electrostatics, thermodynamics and diffusion theory, continuum mechanics, and mathematical physics, as well as by engineers and students in mathematics, mechanics, and physics.

Full Product Details

Author:   A.M. Alexandrov ,  D.A. Pozharskii
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   93
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   0.645kg
ISBN:  

9781402003875

ISBN 10:   1402003870
Pages:   428
Publication Date:   30 November 2001
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1. Contact problems for a half-space.- 1.1. Introduction.- 1.2. Elasticity theory.- 1.3. Frictionless contact problems for a half-space.- 1.4. A circular punch on a half-space.- 1.5. An elliptic punch on a half-space.- 2. Contact problems for layers and half-spaces.- 2.1. Equilibrium under given normal loads.- 2.2. Integral equations for layer contact problems.- 2.3. A circular punch on a layer.- 2.4. A strip punch on a layer.- 2.5. Contact problems for a thick layer.- 2.6. Contact problems for a thin layer.- 2.7. A circular punch on a layer (examples).- 2.8. A narrow rectangular punch on a half-space.- 2.9. Galanov-Newton method.- 3. Contact problem for a cylinder.- 3.1. Equilibrium under given normal loads.- 3.2. Contact problems for a cylinder, and a space with a cylindrical cavity.- 3.3. Interaction between a cylinder and deformable sleeves.- 3.4. Periodic system of sleeves on a cylinder.- 3.5. Interaction between a cylinder and a wheel or cylindrical shell.- 3.6. Contact problems for a circular plate.- 3.7. Contact problems for a finite cylinder.- 4. Contact problems for a wedge.- 4.1. Equilibrium under given normal loads.- 4.2. Strip punch on a wedge face.- 4.3. Wedge-shaped punch on a wedge face.- 4.4. Elliptic punch on a wedge face.- 4.5. Contact problem for a wedge with unknown contact area.- 5. Contact problems for a cone.- 5.1. Equilibrium under given normal loads.- 5.2. Rigid or deformable sleeve on a cone.- 5.3. Plane sloping annular punch on a half-space.- 5.4. Wedge-shaped punch on a cone.- 5.5. Contact problem for a cone with unknown contact area.- 5.6. Contact problems for a spherical layer.- 6. Contact problems for spherical lens.- 6.1. Equilibrium under given normal loads.- 6.2. A truncated sphere.- 6.3. A half-space with spherical hollow or jut.- 6.4. A space with spherical cavity.- 6.5. Sphere, spherical hinge.- Appendix. Galanov’s computer program.- Abbreviations for journals.- References.

Reviews

`Three-Dimensional Contact Problems is recommended for purchase by engineering libraries and for individuals interested in the mathematical analysis of contact problems.' Applied Mechanical Review, 55:4 (2002)

`Three-Dimensional Contact Problems is recommended for purchase by engineering libraries and for individuals interested in the mathematical analysis of contact problems.' Applied Mechanical Review, 55:4 (2002)

Three-Dimensional Contact Problems is recommended for purchase by engineering libraries and for individuals interested in the mathematical analysis of contact problems.' Applied Mechanical Review, 55: 4 (2002)

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions