Contact stresses in the problem of the motion of a spherical shell along a corner chute.

A spatial contact problem is considered for a thin spherical shell resting on two flat surfaces. Flat surfaces have a given opening angle. An original approach to the solution is proposed. It is based on representing the solution to the original spatial problem through the solution to an axisymmetric problem. Namely, by expressing the solution through the superposition of two axisymmetric states. The solution to the general axisymmetric problem is determined using the Green's function. The Green's function for the shell is constructed using Fourier series expansions in the Legendre and Gegenbauer polynomials. [ABSTRACT FROM AUTHOR]