Abstract
A formulation of a contact problem for a spherical shell is presented in the paper. It uses a certain analytical-numerical solution for the analysis of an elastic complete sphere subjected to a concentrated force and associated body forces. Assumptions and equations of thin shell theory of small deformations and displacements are applied to the problem. Good numerical efficiency is achieved due to a solving functionZintroduced in a complex form while the concentrated force was distributed over a small finite area. Some examples are presented to illustrate the solution and an influence of the size of assumed area of load distribution. An application of the solution to the formulation of the contact problem of the spherical shell resting on several separate supports is presented.
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