An Elasticity Solution for a Transversely Isotropic Material Containing a Spherical Shell Under Arbitrary Axisymmetric Loading

A three-dimensional elasticity solution is obtained for a transversely isotropic solid containing an isotropic spherical membrane shell. Perfect bonding is assumed between the shell and the surrounding medium. The loading may be any axisymmetric truction distribution applied to the inner surface of the shell and/or at infinity.