50—THE APPLICATION OF THE FIRST AND THIRD ASYMPTOTIC DISTRIBUTIONS TO ABRASION FATIGUE AND REPEATED EXTENSION OF YARNS AND TO BENDING OF FABRICS

Abstract

The application of the first and third asymptotic distributions to the statistical interpretation of fatigue testing of materials has been postulated previously and some contributions concerning certain tests on synthetic-polymer filaments and yarns have been published. In the present work, an attempt is made to widen the application of these distributions to resistance to abrasion and to fatleue by the repeated extension of yarns and to fatigue by the repeated bending of fabrics the hrst and second of these phenomena, the first asymptotic distribution gives a good tit, whereas, for the resistance of yarns to repeated extensions, Weibull's distribution, or the third asymptotic distribution, is the one that seems to give better results, although its application in a general sense is actually satisfactory in all the cases considered. The method of operation of the measuring instrument used which involves complex actions, can justify the observation that, in some cases, one distribution seems to be more convenient than the other.