Mechanics of Elastic Performance of Textile Materials

Abstract

This report is concerned with the study of the mechanical properties of cordage yarns. The relationship between fiber properties and yarn performance is expressed mathematically by a method involving a generalized extension of the work of Hamburger [2] and Philipp [7]. The mathematical formulas representing the mechanical behavior of cordage yarns are shown to be useful by a comparison between theoretically calculated and experimentally obtained data. The validity and accuracy of the mathematical analysis is further tested by a detailed examina tion of the range of possible error due to unforeseen discrepancies between reality and the two assumptions: (a) a normal distribution of fiber properties, thus permitting the application of standard statistical treatment; and (b) no fiber slippage during the application to yarns of loads to rupture. The results of the mathematical analysis are shown graphically over a range of fiber properties in excess of those evidenced by cordage fibers. Thus, if the assumptions made hold for all textile fibers, the behavior of other fibers than those normally used for cordage can be predicted for the case of yarns of cordage type. Work is in progress covering further aspects of the research—namely, applying similar mathe matical analysis to the translation of yarn properties into strand, plied yarn, and rope structures.