Basic criteria to design and produce multistable shells
Résumé
A shell can have multiple stable equilibria either if its initial curvature is suciently high or if a suitably strong pre-stress is applied. Under the hypotheses of a thin and shallow shell, we derive closed form results for the critical values of curvatures and pre-stresses leading to bistability and trista-bility. These analytical expressions allow to easily provide guidelines to build shells with dierent stability properties.
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