Abstract
The problem considered is equivalent to a mixed boundary value problem in the theory of elasticity where the displacement of the contact area is assumed to be translation of an annular rigid punch in a direction parallel to the surface of an elastic half-space. The solution is obtained by expressing the two stress components of the contact area as appropriate Fourier series and then reducing the problem to consideration of an infinite system of algebraic equations. Numerical results are presented for the distributions of displacements and stresses on the plane z=0.
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