Three‐dimensional computer simulation of 2/2 twill woven fabric by using B‐splines

Abstract

This study was carried out to obtain visual simulations of twill weave woven fabrics on a computer screen using certain fabric parameters. Warp and weft yarns in twill weave fabric structures are inclined in fabric longitudinal and transverse directions, and also stick out of the fabric plane because of being subjected to internal forces. Therefore, a two‐dimensional model is not capable of defining the twill weave fabric geometry and a third dimension is necessary to define the inherent skewness. In constructing a preliminary model for the twill weave fabric structure, the yarn paths were divided into small linear segments. Having determined the dimensions and direction angles of yarn central axes, “B‐spline” method was applied to convert the yarn path to a smooth curve. Finally the accuracy of model was controlled by comparing the calculated crimp and fabric weight values obtained from the theoretical model with those of the experimental fabrics.

Keywords:

• twill weave
• B‐spline
• geometrical modeling
• skewness