Abstract
Differential inequalities are derived for two cross-sectional energy fluxes. Integration establishes exponential growth and decay estimates for the cross-sectional mean square displacement, displacement gradient and pressure. The conclusions relate to Saint-Venant's principle for an incompressible elastic cylinder and more generally to the Phragmen-Lindelof principle and Liouville's theorem. Other contributions to the literature are briefly noted.
Original language | English |
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Pages (from-to) | 111-128 |
Number of pages | 18 |
Journal | Journal of Engineering Mathematics |
Volume | 37 |
Issue number | 1-3 |
Publication status | Published - Feb 2000 |
Keywords
- Incompressible linear elasticity
- Saint-Venant's principle
- Spatial behaviour