Three-Dimensional Contact Problems

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.