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