A Signorini problem in elasticity with prescribed contact set
The following unilateral problem is considered. An elastic half-sphere is supported, without friction, by a rigid plane in possible contact with its base. The spherical portion of the surface is loaded by tractions statically equivalent to a compressive load perpendicular to the supporting plane. Superposing certain classical solutions of three- dimensional elasticity, it is possible to determine all such distributions of surface tractions for which the half-sphere makes contact along only half of its base.
homogeneous solutions of equilibrium equations
compressive load perpendicular to the supporting plane
half-sphere makes contact along only half of its base
scientific article; zbMATH DE number 3902218