The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials
This investigation is concerned with the problem of a hollow sphere subjected to uniform internal and external pressure within the equilibrium theory of finite elasticity. The sphere is composed of homogeneous, isotropic, compressible materials of special type, namely harmonic materials. Explicit closed-form solutions for the deformation and stress fields are obtained. The true stress distribution, expressed as a function of the undeformed coordinates, is shown to be essentially independent of material properties. The two cases of internal pressure only, and external pressure only, are examined in detail.
homogeneous, isotropic, compressible materials
scientific article; zbMATH DE number 3870716