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One-dimensional problems in the stability of thin shells

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Summary

Algebraic conditions, sufficient for the infinitestimal 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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Authors and Affiliations

  1. Istituto di Elaborazione Informazione C.N.R., Italy

    C. Davini

  2. Fac. Ingegneria Università di Pisa, Italy

    C. Davini

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  1. C. Davini
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Davini, C. One-dimensional problems in the stability of thin shells. J Elasticity 10, 241–254 (1980). https://doi.org/10.1007/BF00127450

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  • DOI: https://doi.org/10.1007/BF00127450

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