Considered within the theory of small deformations superposed upon large is spatial behaviour for a prestressed laterally constrained elastic cylinder in equilibrium under zero body force and for sets of elastic coefficients that are not positive-definite. Certain cross-sectional integral measures are shown to be logarithmically convex implying at least exponentially increasing growth behaviour. For sufficiently long cylinders, this conclusion contradicts at most quadratic growth, and consequently the theory ceases to be valid indicating possible initiation of buckling and similar phenomena. © 2011 Springer Science+Business Media B.V.
- Logarithmetic convexity
- Non positive-definite elastic coefficients
- Prestressed elastic cylinder