Istituto di Scienza e Tecnologie dell'Informazione     
Davini C. One-dimensional problem in the stability of thin shells. In: Journal of Elasticity, vol. 10 (3) pp. 241 - 254. Sijthoff & Noordhoff International Publishers, 1980.
Algebraic conditions, sufficient for the infinitesimal stability of elastic shells in the class of one-dimensional perturbations from homogeneous ground states, are considered. A necessary and sufficient condition for superstability is also deduced. The shells are modelled according to the director theory. Unlike three-dimensional elastic continua, the strain energy depends on the displacement components and not only on their gradients. This plays a central role in the analysis of these problems.

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