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A Phragmèn-Lindelöf principle for the thermoelastic cylinder of variable crosssection. (English) Zbl 0802.73014

Summary: 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.

MSC:

74B99 Elastic materials
35Q72 Other PDE from mechanics (MSC2000)
80A20 Heat and mass transfer, heat flow (MSC2010)
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