A statistical model for the tensile behavior of a bundle of slack fibers is developed in terms of its constituent single fiber properties. A large amount of data on single fiber tensile properties is obtained by a Mantis® tester. Application of this theory to HVI tensile test results shows much better agreement than other models developed earlier for bundles of straight, equal length fibers.
Get full access to this article
View all access options for this article.
References
1.
Coleman, B.D. , On the Strength of Classical Fibers and Fiber Bundles, J. Mech. Phys. Solids7, 60-70 (1958).
2.
Daniels, H.E. , The Statistical Theory of the Strength of Bundles of Threads, Proc. R. Soc.A183, 405-435 (1945).
3.
Daniels, H.E. , TheMaximum of a Guassian Process Whose Mean Path Has a Maximum, with Application to the Strength of Fiber Bundles, Adv. Appl. Prob.21, 315-333 (1989).
4.
Duckett, K.E. , Krowicki, R.S., and Cheng, C.C., SomeObservations on Single-Fiber and Flat-Bundle Tensile Tests, and on the Application of Weak-Link Theory to the Determination of a True Zero-Gauge Tensile-Test Length of Single Cotton Fibers, Appl. Polym. Symp.27, 359-368 (1975).
5.
Duckett, K.E. , Zhou, Z., Krowicki , R.S., and Sasser, P.E., Cotton Fiber Fineness Distributions and Their Effects on the Tenacities of Randomly Sampled HVI Tapered Beards: Linear Density Effects, Textile Res. J.63, 737-744 (1993).
6.
Hemstreet, J.M., and Krowicki, R., Effects on Tenacity of Non-Uniform Fiber Bundle Density Distribution in Pressley Clamps, in "Proc. Beltwide Cotton Conference ," 1993, pp. 1105-1106.
7.
Hertel, K.L. , and Craven, C.J., Cotton Fiber Bundle Elongation and Tenacity as Related to Some Fiber and Yarn Properties, Textile Res. J.26, 479-484 (1956).
8.
Nachane, R.P. , and Krishna Iyer , K. R., Prediction of Bundle Strength from Single-Fiber Test Data, Textile Res. J.50, 639-641 (1980).
9.
Peirce, F.T. , Theorems on the Strength of Long and of Composite Specimens, J. Textile Inst.17, 355-368 (1926).
10.
Phoenix, S.L. , and Taylor, H.M., TheAsymptotic Strength Distribution of a Generalized Fiber Bundle, Adv. Appl. Prob.5, 200-216 (1973).
Phoenix, S.L. , Probabilistic Inter-Fiber Dependence and the Asymptotic Strength Distribution of a Classic Fiber Bundle, Int. J. Eng. Sci.13, 287-303 (1975).
13.
Phoenix, S.L. , Statistical Theory for the Strength of Twisted Fiber Bundles with Applications to Yarns and Cables, Textile Res. J.49, 407-423 (1979).
14.
Pitt, R.E., and Phoenix, S.L., On Modeling the Statistical Strength of Yarns and Cables under Localized Load-Sharing among Fibers, Textile Res. J.51, 408-425 (1981).
15.
Platt, M.M. , Klein, W.G., and Hamburger , W.J., Mechanics of Elastic Performance of Textile Materials, Part IX, Textile Res. J.22, 641-667 (1952).
16.
Rebenfeld, L., Transmission of Cotton Fiber Strength and Extensibility, Textile Res. J.28, 585-592 (1958).
17.
Sasser, P.E. , Shofner, F.M., and Chu, Y.T., Interpretation of Single Fiber, Bundle, and Yarn Tenacity Data, Textile Res. J.61, 681-690 (1991).
18.
Suh, M.W., A Study of the Distribution and Moments of Bundle Strength in Sequential Breakage of Parallel Filaments, Doctoral thesis, North Carolina State University, 1969.
19.
Suh, M.W., Bhattacharyya, B.B., and Grandage, A., On the Distribution and Moments of the Strength of a Bundle of Filaments , J. Appl. Prob.7, 712-720 (1970).
20.
Suh, M.W., Cui, X., and Sasser, P.E., Interpretation of HVI Bundle Tensile Properties through Single Fiber Test Results—Effects of Fiber Slack, in " Proc. Beltwide Cotton Conferences," 1993, pp. 1101-1104.
21.
Taylor, R.A. , Cotton Tenacity Measurements with High Speed Instruments, Textile Res. J.56, 92-101 (1986).
22.
Taylor, R.A. , and Gogbey, L.C., A Control on Specimen Brushing Will Improve HVI Strength Measurements, in "Proc. Beltwide Cotton Conference," 1993 , pp. 1080-1084.
23.
Virgin, V.P. , and Wakeham, H., Cotton Quality and Fiber Properties, Part IV: The Relationship between Single Fiber Properties and the Behavior of Bundles, Slivers, and Yarns, Textile Res. J.26, 177-191 (1956).