Wrinkle patterns in active viscoelastic thin sheets

Daniel Matoz-Fernandez, Fordyce Davidson, Nicola Stanley-Wall, Rastko Sknepnek (Lead / Corresponding author)

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Abstract

We show that a viscoelastic thin sheet driven out of equilibrium by active structural remodelling, such as during fast growth, develops a rich variety of shapes as a result of a competition between viscous relaxation and activity. In the regime where active processes are faster than viscoelastic relaxation, wrinkles that are formed due to remodelling are unable to relax to a configuration that minimises the elastic energy and the sheet is inherently out of equilibrium. We argue that this nonequilibrium regime is of particular interest in biology as it allows the system to access morphologies that are unavailable if restricted to the adiabatic evolution between configurations that minimise the elastic energy alone. Here, we introduce activity using the formalism of evolving target metric and showcase the diversity of wrinkling morphologies arising from out of equilibrium dynamics.
Original languageEnglish
Article number013165
Pages (from-to)1-13
Number of pages13
JournalPhysical Review Research
Volume2
DOIs
Publication statusPublished - 18 Feb 2020

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