Limit point instability in pressurization of anisotropic finitely extensible hyperelastic thin-walled tube

Abstract

Mechanical responses of materials undergoing large elastic deformations can exhibit a loss of stability in several ways. Such a situation can occur when a thin-walled cylinder is inflated by an internal pressure. The loss of stability is manifested by a non-monotonic relationship between the inflating pressure and internal volume of the tube. It was hypothesized that this mechanism may contribute to aneurysm formation. The study describes how material parameters of the tube govern risk of the loss of inflation stability.