Dissemin is shutting down on January 1st, 2025

Published in

Elsevier, Physica D: Nonlinear Phenomena, (283), p. 1-9

DOI: 10.1016/j.physd.2014.05.008

Links

Tools

Export citation

Search in Google Scholar

Growth-induced blisters in a circular tube

Journal article published in 2014 by Riccardo De Pascalis, Gaetano Napoli, Stefano S. Turzi ORCID
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Red circle
Postprint: archiving forbidden
Red circle
Published version: archiving forbidden
Data provided by SHERPA/RoMEO

Abstract

h i g h l i g h t s • Analysis of growth-induced blisters in an elastic strip adhered to a curved substrate. • Packing of a flexible cylinder inside a rigid circular tube with capillary adhesion. • Curvature and capillary adhesion ef-fects on blister height and adherent length. • Asymptotic analysis in terms of the strip excess-length. g r a p h i c a l a b s t r a c t a r t i c l e i n f o a b s t r a c t The growth of an elastic film adhered to a confining substrate might lead to the formation of delamination blisters. Many results have been derived when the substrate is flat. The equilibrium shapes, beyond small deformations, are determined by the interplay between the sheet elastic energy and the adhesion potential due to capillarity. Here, we study a non-trivial generalization to this problem and consider the adhesion of a growing elastic loop to a confining circular substrate. The fundamental equations, i.e., the Euler Elastica equation, the boundary conditions and the transversality condition, are derived from a variational procedure. In contrast to the planar case, the curvature of the delimiting wall appears in the transversality condition, thus acting as a further source of adhesion. We provide the analytic solution to the problem under study in terms of elliptic integrals and perform the numerical and the asymptotic analysis of the characteristic lengths of the blister. Finally, and in contrast to previous studies, we also discuss the mechanics and the internal stresses in the case of vanishing adhesion. Specifically, we give a theoretical explanation to the observed divergence of the mean pressure exerted by the strip on the container in the limit of small excess-length.