Fabrics: Orthotropic Materials With a Stress-Free Shear Mode

Abstract

A material model of elastic fabrics is proposed. In this, orthotropy and a vanishing shear rigidity is assumed. Full nonlinear equations are derived and simplifications valid for small material rotations are proposed. Even the simplified model is nonlinear, but it is demonstrated that, in certain instances, a linearization, leading to harmonic equations, is admissible. This is exemplified by the case of a crack in an infinite sheet.