Instabilities of a compressed hyper elastic prism: Competition between wrinkles and creases

Abstract eng:
We study the stability of a long hyper elastic prism whose cross—section is an isosceles triangle, subjected to axial compression. Experiments reveal extended buckling modes (wrinkles) when the ridge angle qfi is smaller than z 900, and localized modes (creases) when qfi is larger than z 900. The compression of a neo—Hookean half—space, which is known to produce creases, appears as a particular case of our system (qfi : 1800). With this aim to explain the competition between the extended vs. localized buckling modes, we carry out a linear stability analysis based on a neo—Hookean (hyperelastic) model using the finite—element method. The first buckling mode and the associated critical strain EC are obtained as a function of the angle qfi at the apex. The simulations reproduce the different types of behaviors depending on the ridge angle qfi as seen in the experiments.

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