Anisotropy in tensile properties of plain weave fabric - Part I: The meso-scale model

Tensile properties and geometrical behavior of a plain weave fabric under arbitrary direction are addressed in this study. A geometrical-mechanical model is established on the basis of the deflection curve and flattening of tensioned yarn. For this purpose, a differential equation to assess the curvature of tensioned yarn under a certain bending moment is proposed. Different conditions of a fabric, namely relaxed fabric, stretched in principal directions and arbitrary directions are discussed. Ordinary data of a fabric and constituted yarns are input data of this model. The tensile-force curve and geometry of a strip fabric under stress in the arbitrary direction can be estimated by the proposed model simultaneously.