Theoretical estimation of structural parameters in 2/2 twill woven structures

It has been shown through various experimental works that the geometry of woven fabrics will change after it is released from looms due to the contraction forces resulting in changed structural geometry in their fully relaxed state. In this work, an appropriate three dimensional unit cell is proposed for 2/2 twill woven structure. The proposed model covers all angles and lengths between warp and weft yarns in the three dimensional unit cell of the structure in its fully relaxed state assuming straight line path and circular cross-section of yarns. At first, a theoretical solution for estimation of skewness angle in float region of 2/2 twill fabrics is proposed by defining the JJ ratio index to consider different amount of contraction in float and crimp region of unit cell. Then the proposed theory is extended to include the weave and skewness angle of yarns in crimp region of woven structures. By applying this theory, the skewness angle of 2/2 twill weaves will be incorporated in structural modelling of woven fabrics which can be used in predicting the thickness and areal mass of the 2/2 twill woven structures. Besides the confirmed validation of model in predicting the areal mass, the results for estimating the thickness of fabrics are in close agreement with the measured ones in the fabrics with worsted and coarse cotton yarns.