Decay and Other Estimates for an Annular Elastic Cylinder in an Axisymmetric State of Stress.

This paper considers an annular circular cylinder, consisting of homogeneous isotropic linear elastic material, in a state of axisymmetric (torsionless) stress corresponding to traction-free lateral boundaries and such that the traction on every cross-section is self-equilibrated, body forces being absent; in the main case considered, one plane end is traction-free, the other being self-equilibrated. A positive-definite cross-sectional measure of stress is defined and shown to be a convex function of the axial coordinate, and, in the main case considered, to be a function of "generalized convexity". Inferences are drawn, including a spatial decay estimate for a semi-infinite cylinder reflecting Saint-Venant's principle. The paper concludes with a discussion of the estimate obtained. [ABSTRACT FROM AUTHOR]