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.
|Number of pages||18|
|Journal||Journal of Engineering Mathematics|
|Publication status||Published - Feb 2000|
- Incompressible linear elasticity
- Saint-Venant's principle
- Spatial behaviour