Analysis of Woven Fabric Strengths: Prediction of Fabric Strength under Uniaxial and Biaxial Extensions

نویسنده

  • Ning Pan
چکیده

This study of woven fabric strength begins by focusing on the effects of the crossing points, where warp and weft yarns interlace with each other to form a fabric, towards the ultimate fabric tensile strength. When a fabric is under uniaxial or biaxial tension, the yarn-yarn interactions at the crossing points are found to consist of two components, a pressure-independent adhesive component and a pressure-dependent frictional one, of which the latter is proved to be dominant. On the basis of the analysis, the yarn critical length in the fragmentation process during fabric extension is defined and calculated. Moreover, by treating the fabric as an assemblage of yarn bundles, the distribution density function of the strengths between individual yarns in the same bundle is provided based on the single yarn strength distribution, and the fracture process of the bundle can be better described using this function. Then, by incorporating the critical yarn length into the distribution density function of the yarn strength, the in situ behavior of the yarn bundle in a fabric is predicted. Following the chain of sub-bundle model, the mean fabric strength and the fabric stress/strain curve are predicted more realistically for both uniaxial and biaxial tension cases. The predictions of the present theory compare favorably with the measured fabric strengths both previously reported and tested in the present work. A detailed parametric study is also carried out.

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تاریخ انتشار 2003