Natural SciencesMathematicsPhysicsApplied MechanicsMechanical Behavior Of MaterialsSolid MechanicsContact AnalysisContact MechanicsElastic DeformationElastic PropertiesElasticity TheorySolid Mechanics ApplicationsAxisymmetric ContactContact Pressure AnalysisElastic ContactElasticity ProblemsFundamental Solutions
Abstract : The first chapter of the book is devoted to methods of the solution of fundamental equations of the contact problem. The second part contains, together with the classical investigations, an account of certain works of Soviet mathematicians on the two-dimentional contact problem of the theory of elasticity, including my works, part of which has been published for the first time. These include: a new formulation of the problem on the pressure of a stamp on an elastic half-plane, and the periodic contact problem. An attempt is made to calculate surface deformations, which up till now were not calculated in the theory of the contact problem. A number of new solutions are given for an axisymmetric contact problem of the theory of elasticity. The book should be regarded as a division of the mathematical theory of elasticity, since it is devoted to the solution of basic contact problems of the theory of elasticity.