A Novel Approach to Three-Dimensional Modeling of Interlaced Fabric Structures

Abstract

This paper attempts the geometric modeling of woven and braided fabric structures in three dimensions using a computer aided geometric design (CAGD) technique. A new symbolic approach to fabric structure representation, which is useful to the textile CAD/CAM process and fabric design, is presented, and a basic model is proposed that treats a yarn as a three-dimensional solid object. Some traditional 2D fabric models are extended into 3D models and demonstrated in 3D form. The structures of various fabrics are demonstrated in graphic forms, including elementary weaves such as plain weave, twill, and satin; two layer fabrics; braided fabrics; and three-dimensional fabrics as reinforcements for composite materials.