Remarks on axially and centrally symmetric elasticity problems

The solutions to axially and centrally symmetric Lamé problems are derived within the displacement, stress and strain-based approach by the specification of the general boundary conditions which encompass all possible combinations of kinematic and kinetic conditions at the inner and outer boundaries. It is shown that the mathematical structure of the governing differential equations in the strain-based approach is identical to that in the stress-based approach. A reduction of the compatibility conditions from general two and three-dimensional elasticity to their form applicable to axially and centrally symmetric problems is also discussed.