Pressure-driven wrinkling of soft inner-lined tubes

Wrinkling of an inextensible elastic lining inner-lined tube under imposed pressure is considered. A simple equation modeling the properties lining, pressure, and soft-substrate forces derived. This aims to capture wrinkling response arterial endothelium blood changes. Numerical continuation used construct a bifurcation diagram as function for in-plane deformations, in excellent agreement with weakly nonlinear theory, which we also develop. Our approach explains how wavelength amplitude wrinkles are selected parameters compressed systems shows localized folds mixed-mode states form secondary bifurcations from wrinkled states.