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Spontaneous morphing of equibiaxially pre-stretched elastic bilayers: The role of sample geometry

TitleSpontaneous morphing of equibiaxially pre-stretched elastic bilayers: The role of sample geometry
Publication TypeJournal Article
Year of Publication2018
AuthorsCaruso, N, Cvetković, A, Lucantonio, A, Noselli, G, DeSimone, A
JournalInternational Journal of Mechanical Sciences
Volume149
Pagination481-486
ISSN0020-7403
KeywordsBifurcation; Elastic bilayer; Pre-stretch; Shape programming
Abstract

An elastic bilayer, consisting of an equibiaxially pre-stretched sheet bonded to a stress-free one, spontaneously morphs into curved shapes in the absence of external loads or constraints. Using experiments and numerical simulations, we explore the role of geometry for square and rectangular samples in determining the equilibrium shape of the system, for a fixed pre-stretch. We classify the observed shapes over a wide range of aspect ratios according to their curvatures and compare measured and computed values, which show good agreement. In particular, as the bilayer becomes thinner, a bifurcation of the principal curvatures occurs, which separates two scaling regimes for the energy of the system. We characterize the transition between these two regimes and show the peculiar features that distinguish square from rectangular samples. The results for our model bilayer system may help explaining morphing in more complex systems made of active materials.

URLhttps://www.sciencedirect.com/science/article/pii/S0020740317311761
DOI10.1016/j.ijmecsci.2017.08.049

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