Pressure-driven wrinkling of soft inner-lined tubes
arXiv:2104.04643 · doi:10.1088/1367-2630/ac45cd
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.
References in corpus (11)
- Compression induced folding of a sheet: an integrable system
- Area-Constrained Planar Elastica
- Minimal surfaces bounded by elastic lines
- Dynamics of wrinkling in ultrathin elastic sheets
- Cylindrical equilibrium shapes of fluid membranes
- Wrinkles and folds in a fluid-supported sheet of finite size
- Dynamic buckling of elastic rings in a soap film
- Dynamic buckling of an inextensible elastic ring: Linear and nonlinear analyses
- Non-symmetric localized fold of a floating sheet
- Collapse and folding of pressurized rings in two dimensions
- Fluid-supported elastic sheet under compression: Multifold solutions