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Article Dans Une Revue Journal of the Mechanics and Physics of Solids Année : 2016

From wrinkling to global buckling of a ring on a curved substrate

Résumé

We present a combined analytical approach and numerical study on the stability of a ring bound to an annular elastic substrate, which contains a circular cavity. The system is loaded by depressurizing the inner cavity. The ring is modeled as an Euler-Bernoulli beam and its equilibrium equations are derived from the mechanical energy which takes into account both stretching and bending contributions. The curvature of the substrate is considered explicitly to model the work done by its reaction force on the ring. We distinguish two different instabilities: periodic wrinkling
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hal-03347745 , version 1 (17-09-2021)

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Romain Lagrange, F. López Jiménez, D. Terwagne, M. Brojan, P. M. Reis. From wrinkling to global buckling of a ring on a curved substrate. Journal of the Mechanics and Physics of Solids, 2016, 89, pp.77-95. ⟨10.1016/j.jmps.2016.02.004⟩. ⟨hal-03347745⟩
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