Contact Problems The legacy of L.A. Galin

L.A. Galin’s book on contact problems is a remarkable work. Actually there are two books: the first, published in 1953 deals with contact problems in the classical theory of elasticity; this is the one that was translated into English in 1961. The second book, published in 1980, included the first, and then had new sections on contact problems for viscoelastic materials, and rough contact problems; this section has not previously been translated into English.

In this new translation, the original text and the mathematical analysis have been completely revised, new material has been added, and the material appearing in the 1980 Russian translation has been completely rewritten.

In addition there are three essays by students of Galin, bringing the analysis up to date.

Editor’s Preface. Biographical Sketch of L.A. Galin. 1 A Review of Research before 1953. 2 Plane Elasticity Theory. 3 Plane Static Isotropic Contact Problems. 4 Moving Punches, and Anisotropic Media. 5 Contact Problems in Three Dimensions. 6 Viscoelasticity, Wear and Roughness. References. Index. Development of Galin’s Research in Contact Mechanics by I.G. Goryacheva. 1. Two-Dimensional Sliding Contact of Elastic Bodies. 2. Contact Problem with Partial Slip for the Inclined Punch with Rounded Edges. 3. Three-Dimensional Sliding Contact of Elastic Bodies. 4. Periodic Contact Problem. Hertz Type Contact Problems for Power-Law Shaped Bodies, by Feodor M. Borodich. 1. Introduction. 2. Frictionless Axisymmetric Contact. 3. Axisymmetric Contact Problems with Molecular Adhesion. 4. Adhesive (No-Slip) Axisymmetric Contact Problems. 5. Self-similar Contact Problems. 6. Hardness Measurements and Depth-Sensing Techniques. Further Developments of Galin’s Stick-Slip Problem by Olesya I. Zhupanska. 1. Introduction. 2. The Stick-Slip Problem in Galin’s Formulation. 3. Extensions to the Stick-Slip Contact Problem.