Affiliation:
1. Department of Mathematics and Physics, Fourth Military Medical University, Xi'an 710032, Shaanxi, China
Abstract
When making an isotropic elastic shell into a curving tube, the crimp energy and bending energy determine the equilibrium shapes of the tube. In this study, we established a model to explore the elastic behavior of a tube made of an elastic shell. Two typical shapes: torus shape and periodic shape are discussed by studying the equilibrium shape equations in the planar case. Our study reveals that the crimp energy for an isotropic elastic tube is innegligible and will induce abundant shapes. It also reveals that varicose vein is more likely to occur when the blood vessels become thicker, which is in accordance with the clinic experiments.
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics