A Phragmén-Lindelöf Theorem for Porous Elastic Cylinders
A. Scalia · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1998
The paper is concerned with the equilibrium theory of elastic materials with voids. An analogue of the Phragmén-Lindelö principle for a semi-infinite right cylinder composed of a homogeneous and anisotropic material is presented. The paper studies the asymptotic behaviour of solutions measured by the cross-sectional work function. The work-function to within a rigid body displacement either decays faster than a certain decreasing exponential function or grows faster than a growing exponential function. A uniqueness result is also derived.