Spectral relationships for integral operators in contact problem of impressing stamps

摘要

A method is given for solving the problem of mechanics of continuous media between a finite system of stamps varying width and an elastic half-space in a three dimensional formulation. The friction within the region of contact is neglected. The problem is solved in the Mathieu function form. Also, the problem of contact of impressing a system strip of stamps in an elastic half-space of a logarithmic series in the case of two symmetric intervals is solved. Some important relationships are investigated. Also the spectral relationships of the integral equations with Karlman kernel are obtained.