An external hydrostatic pressure of magnitude p is applied to the surface of a spherical body of radius b with a concentric rigid spherical inclusion of radius a , as shown in Fig. P7.31. Determine the displacement and stress fields in the spherical body. Using the stress field obtained, determine the stresses at the surface of a rigid inclusion in an infinite elastic medium.
p p
Rigid spherical core Spherical shell ( µ , ? )
b Spherical core ( µ 1 , ? 1 ) b
a a
Spherical shell ( µ 2 , ? 2 )