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arXiv · 2205.02034

Buckling vs unilateral constraint for a multistable metamaterial element

Nikolin Hima·Davide Bigoni·Francesco Dal Corso
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Abstract

A structural element is designed and investigated, forming the basis for the development of an elastic multistable metamaterial. The leitmotif of the structural design is the implementation of a strut characterized by a bifurcation occurring at either vanishing tensile or compressive load. It is shown that buckling at null load leads to a mechanical equivalence with a unilateral constraint formulation, introducing shocks in dynamics. Towards a future analysis of the latter, the nonlinear quasi-static response is investigated, showing the multistable character of the structure, which may appear as bistable or tetrastable.

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Nikolin Hima, Davide Bigoni, Francesco Dal Corso. 2022-05-04. Buckling vs unilateral constraint for a multistable metamaterial element. https://doi.org/10.1098/rsta.2022.0021

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