Auxetic materials expand in the transverse direction under tensile loading in the longitudinal direction, or contract when compressed, in contrast to the conventional materials. [1] Negative Poisson's ratio (NPR) was reported in natural materials by Viogt in the late 19th century. [2] Evans et al. advised that NPR structures and materials could be renamed as "auxetics" for convenience from the Greek word "auxetos." [3] The auxetic characteristics have been reported on fundamental theory in 1989, [4] and different structures including re-entrant structure, [5] folded structure, [6] and honeycomb structure. [7,8] Also, many auxetic materials have been discovered up to date. Iron pyrites were found auxetic with the Poisson's ratio of À0.14, [9] polyurethane foams were reported for a NPR value of À0.7, [5] and warp-knitted and weft-knitted fabrics were found to demonstrate NPR effect too. [10,11] Alderson and Evans experimented on microporous ultrahigh molecular-weight polyethylene (UHMWPE) and found the Poisson's ratio ranged between 0 and À1.24. [12] There are two general approaches for making auxetic textiles. The first one is using the conventional yarns with specially designed fabric structures, such as the reentrant structures and rotating structures for knitted fabrics [13] and bistretch auxetic woven fabrics with re-entrant hexagonal geometry. [14] The other approach is to use auxetic yarns directly to make fabrics. Some researchers produced auxetic woven fabrics using double helix yarns, and their studies showed that such fabrics demonstrated the some level of auxeticity and increased porosity. [15,16] An out-of-register double helical yarns were used to produce double-pick woven fabrics by Miller et al. [17] which showed that the two-layer fabric assembly had the auxetic effect with the Poisson's ratio to be À0.1. In addition, Hu and coworkers [18,19] created an auxetic yarn with a fourply structure with the Poisson's ratio of about À2.0, and it was used to make woven auxetic fabrics which demonstrated much smaller auxeticity. It has to be said that despite the progress in making fabrics from auxetic yarns, the responses of the fabrics under tensile loading need further clarification. High modulus fibers together with an elastic core element are the most commonly used materials for manufacturing auxetic yarns. Helical auxetic yarns (HAYs) are one type of the most promising yarns for exploitation according to Hook. [20,21] HAYs have been made of two or more plies of component yarns with different diameters and with extremely different elastic moduli. These plies were twisted together, with the thinner and stiffer yarn wrapping over the thicker and more elastic core ply. When stretched, the two types of plies would swap their roles, leading to a situation where the thinner and stiffer ply became the straight core and the thicker and more elastic ply turned into the binder, as shown in Figure 1. However, it remains to be a challenge to produce stable helical yarns, with matched lengths of the two yarn plies, t...