Three-Dimensional Contact Problems de A. M. Alexandrov

Three-Dimensional Contact Problems

A. M. Alexandrov

D. A. Pozharskii

en Limba Engleză Paperback – 30 noi 2001

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.

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Cuprins

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.