A Phragmèn-Lindelöf principle for the thermoelastic cylinder of variable cross-section

We consider a non-prismatic cylinder consisting of an anisotropic, compressible, inhomogeneous thermoelastic material, subject to either null tractions or null displacements on the lateral boundary and loaded by a self-equilibrated force system at one end. We show that the mean square cross-sectional measures of the temperature and the coupled displacement-temperature either grow faster than an exponentially increasing function of axial distance or decrease faster than a decaying exponential function of axial distance. We thus establish a Phragmèn-Lindelöf principle for the thermoelastic cylinder of variable cross-section. © 1993 Kluwer Academic Publishers.