Decay Estimates for Elastic Cylinders with Mixed Boundary Conditions

The classical Saint-Venant’s problem in cylinders is considered under various boundary conditions and some estimates are proven. In particular, if the cylinder is force free on the mantle and is subject to assigned displacements on the bases, satisfying exact compatibility conditions, then a unique elementary Saint-Venant’s solution can be selected in such a way that it agrees with the rigorous solution to the mixed problem away from the bases