Pressure-driven wrinkling of soft inner-lined tubes
Abstract
Wrinkling of an inextensible elastic lining of an inner-lined tube under imposed pressure is considered. A simple equation modeling the elastic properties of the lining, the pressure, and the soft-substrate forces is derived. This equation aims to capture the wrinkling response of arterial endothelium to blood pressure changes. Numerical continuation is used to construct a bifurcation diagram as a function of the imposed pressure for in-plane deformations, in excellent agreement with weakly nonlinear theory, which we also develop. Our approach explains how the wavelength and amplitude of the wrinkles are selected as a function of the parameters in compressed wrinkling systems and shows how localized folds and mixed-mode states form in secondary bifurcations from wrinkled states.
Cite
@article{arxiv.2104.04643,
title = {Pressure-driven wrinkling of soft inner-lined tubes},
author = {Benjamin Foster and Nicolás Verschueren and Edgar Knobloch and Leonardo Gordillo},
journal= {arXiv preprint arXiv:2104.04643},
year = {2022}
}