1—the Initial Load–extension Behaviour of Plain-Woven Fabrics

Prediction of Elastic Properties of Plain Weave Fabric Using Geometrical Modeling

“…In other words, the resistance to bending of the thread (including frictional forces affected by the surface features of the warp (weft) yarns and the bending rigidity of the warp (weft) yarns) governs the initial modulus. This above-mentioned viewpoints on extension-load curve by Grosberg is quite in accordance with the equation deduced for Young's modulus by Leaf & Kandil (Leaf & Kandil, 1980). According to the deduced equation, the initial modulus is related to the bending rigidities of warp and weft yarns.…”

“…The methods used to develop the models by the researches are quite varied. Some of the developed models are theorybased on strain-energy relationship e.g., the mode by Hearle and Shanahan , Grosberg and Kedia (Grosberg & Kedia, 1966), Huang (Huang, 1978), de Jong and Postle (Jong & Postle, 1977), Leaf and Kandil (Leaf & Kandil, 1980), and Womersley (Womersley, 1937). Some of them are based on AI-related technologies that have a rigorous, mathematical foundation, e.g., the model by Hadizadeh, Jeddi, and Tehran (Hadizadeh et al, 2009).…”

A Review on Different Factors of Woven Fabrics’ Strength Prediction

“…They already done over 100 years of attempts in combining all the major parameters to represent the fabric that can be helpful for our prediction in terms of different weave factors "Table-2" [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

“…Among all the study most work done to predict either tensile strength or the load-elongation behaviour of woven fabric based on the behaviour of yarn [13][14][15][16][17][18][19]. Woven fabrics used as technical textiles are subjected to forces, which are parallel and perpendicular to fabric plane also.…”

On the Poisson's ratios of a woven fabric

“…But the fabric Poisson's ratios were not dealt with in the analysis. Leaf and Kandil [7] constructed a simple mechanical model termed the 'straight-line' or 'sawtooth' scheme to represent an idealized woven fabric and presented an analysis of the initial load-extension behavior of plain woven fabrics. A closed-form analytical solution was found for the initial Young's modulus and the Poisson's ratio of the fabric, when the yarns were assumed to be inextensible and incompressible.…”