EQUILIBRIUM PROBLEMS OF SPHERICALLY ISOTROPIC BODIES

In this paper the displacements and body-forces are resolved,respectively,and the3-dimensional equilibrium problems of spherically isotropic bodies with body-forces aretransferred into a two-order differential equation and a four-order differential equation.Based on the series expansion technique and properties of spherical functions,the seriessolutions are obtained for the corresponding homogeneous equations,which can be adaptedto solve equilibrium problems of whole spheres or spherical shells.The special solution for arevolving sphere is also given.