Mechanical Properties of Woven Fabrics

Abstract
Woven fabrics are now used for many industrial purposes such as conveyor belts, filters, car tyres and inflatable structures. This has increased the importance of a precise knowledge of their mechanical properties. In this paper, an attempt is carried out to predict the extension of plain woven fabrics when subjected to bilateral tension. Naturally, it is essential to know the mechanical properties of the yarns used in the fabric. Three basic sets of non-linear equations are used. The first set includes the geometrical relations of yarn interlacing according to the Pierce model. The second set is deduced by assuming that the total volume of the yarn is constant during extension. The third set is an expression of the total energy or the sum of potential energy and the yarn strain energy due to extension and bending. The total energy is minimized using the pattern optimization technique while maintaining the constraints imposed by the first two sets of equations. The numerical results obtained are given in the form of load-extension curves and some experimental results are shown for comparison.

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