Mechanics of axisymmetric sheets of interlocking and slidable rods
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European Commission's projectEpiMech - Epithelial cell sheets as engineering materials: mechanics, resilience and malleability (EC-H2020-681434)
In this work, we study the mechanics of metamaterial sheets inspired by the pellicle of Euglenids. They are composed of interlocking elastic rods which can freely slide along their edges. We characterize the kinematics and the mechanics of these structures using the special Cosserat theory of rods and by assuming axisymmetric deformations of the tubular assembly. Through an asymptotic expansion, we investigate both structures that comprise a discrete number of rods and the limit case of a sheet composed by infinitely many rods. We apply our theoretical framework to investigate the stability of these structures in the presence of an axial load. Through a linear analysis, we compute the critical buckling force for both the discrete and the continuous case. For the latter, we also perform a numerical post-buckling analysis, studying the non-linear evolution of the bifurcation through finite elements simulations.
© 2020 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
CitationRiccobelli, D. [et al.]. Mechanics of axisymmetric sheets of interlocking and slidable rods. "Journal of the mechanics and physics of solids", 1 Agost 2020, vol. 141, p. 103969:1-103969:17.
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