Modelling the Stress-Strain Curve of Plane-Weave Fabric with Mathematical Models

Abstract

To avoid fabric deformations due to plastic deformations, it is vital to predict how the fabric will behave under load in advance. This was the starting idea for the conducted research. The basic physical and mechanical properties of plain-weave fabric samples with the same density of warp and weft and in various angles were investigated in this paper. A comparison of the experimental and computational modulus of elasticity was performed. Based on the experimental results, a mathematical model and the corresponding mathematical equations of the stress-strain curve for the examined fabric samples were set up. Finally, a statistical analysis of the models and an evaluation of the parameters and representative indicators of the mathematical models have been implemented. The experimental values of the stress-strain curves are well described by all three of the chosen models. Still, mathematical model number three M3 is best suited and can be used with great accuracy in the theoretical calculation of breaking force and elongation for the selected type of fabric.