| Автор | Knox, Leslie, J. |
| Автор | Whitwell, John, C. |
| Дата выпуска | 1971 |
| dc.description | Since the chain-type weak-link theory was first proposed by Pierce in 1926, many items in the literature have referred to it in one form or another. There has, however, been little extensive testing of this theory for either yarns or individual fibers. In this paper, the hazard function is used as a sensitive test for the data of Pierce on cotton yarns, those of Moreton on carbon filaments, and data gathered in the authors' laboratory on viscose rayon filaments. In each of these cases, it is shown that the theory does not apply. Alternate models are proposed and the most tractable of these is discussed in detail. Parameters in this model are estimated for the viscose rayon data. |
| Издатель | Sage Publications |
| Тема | Cotton yarns |
| Тема | carbon filaments |
| Тема | viscose rayon filaments. Filament length |
| Тема | filament denier |
| Тема | vibration frequency |
| Тема | vacuum |
| Тема | temperature |
| Тема | RH |
| Тема | precise-knowledge limits. Breaking stress |
| Тема | breaking force |
| Тема | breaking-stress distribution |
| Тема | confidence limits |
| Тема | beta-type distribution |
| Тема | extreme-value distribution |
| Тема | beta-fits. Vibroscope |
| Тема | weak-link theory |
| Тема | series model (weak-link model) |
| Тема | parallel model |
| Тема | parallel-series model |
| Тема | breaking-strength models |
| Тема | hazard functions |
| Тема | Taylor series. |
| Название | Studies of Breaking-Stress Distributions |
| Тип | Journal Article |
| DOI | 10.1177/004051757104100606 |
| Print ISSN | 0040-5175 |
| Журнал | Textile Research Journal |
| Том | 41 |
| Первая страница | 510 |
| Последняя страница | 517 |
| Аффилиация | Knox, Leslie, J., Textile Research Institute and Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08540, U. S. A. |
| Аффилиация | Whitwell, John, C., Textile Research Institute and Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08540, U. S. A. |
| Выпуск | 6 |
| Библиографическая ссылка | Anderson, O.L., in "Fracture," New York, Wiley, 1959, p. 339. |
| Библиографическая ссылка | Berry, J.P., in "Fracture Processes in Polymeric Solids," New York, Wiley, 1964, p. 182. |
| Библиографическая ссылка | Chechulin, B.B. , Statistical Theory of Brittle Strength, Zhur. Tekh. Fiz. 24, 292-298 (1954). |
| Библиографическая ссылка | Daniels, H.E. , The Statistical theory of the Strength of Bundles of Threads. I, Proc. Roy. Soc. London 183A, 405-435 (1945). |
| Библиографическая ссылка | Epstein, B., StatisticalAspects of Fracture Problems, J. Appl. Phys.19, 140-147 (1948). |
| Библиографическая ссылка | Fisher, G.M.C. , The Auerback Range in the Hertzian Fracture of Glass, J. Appl. Phys. 38, 1781-1786 (1967 ). |
| Библиографическая ссылка | Griffith, A.A. , The Phenomena of Rupture and Flow in Solids , Phil. Trans. Roy. Soc. A221, 163-198 (1921). |
| Библиографическая ссылка | Hahn, G.J. and Shapiro, S.S., "Statistical Models in Engineering," New York, Wiley, 1968. |
| Библиографическая ссылка | Hershey, H.C. , Zakin, J.L., and Simha, R., Numerical Differentiation of Equally Spaced and Not Equally Spaced Experimental Data, I & E C Fund. 6, 413-421 (1967). |
| Библиографическая ссылка | Higuchi, T. , Leeper, H.M., and Davis, D.S., Determination of Tensile Strength of Natural Rubber and GR-S, Anal. Chem. 20, 1029-1033 (1948). |
| Библиографическая ссылка | Kase, S., A Theoretical Analysis of the Distribution of Tensile Strength of Vulcanized Rubber, J. Polymer. Sci.11, 425-431( 1953). |
| Библиографическая ссылка | Knox, L.J., Jr., Studies of Breaking Stress Distributions of Viscose Filaments , Department of Chemical Engineering, Princeton University . |
| Библиографическая ссылка | Kontorova, T.A., A Statistical Theory Strength, Zhurnal Tekhnicheskoi Fiziki10, 886-890 (1940). |
| Библиографическая ссылка | Moreton, R. , The Effect of Gauge Length on the Tensile Strength of R.A.E. Carbon Fibers, Fiber Sci. Technol. 1, 273-284 (1969). |
| Библиографическая ссылка | Otto, W.H., Relationship of Tensile Strength of Glass Fibers to Diameter, J. Amer. Ceram. Soc.38, 122-124 (1955). |
| Библиографическая ссылка | Phillips, C.J. , The Strength and Weakness of Brittle Materials , Amer. Scientist 53, 20 (1965). |
| Библиографическая ссылка | Peirce, F.T. , Tensile Tests for Cotton Yams, Part V: The Weakest Link, J. Textile Inst. 17, T355-T368 (1926). |
| Библиографическая ссылка | Pieruschka, E. , "Principles of Reliability," Englewood Cliffs, N. J., Prentice-Hall, 1963. |
| Библиографическая ссылка | Prevorsek, D.C., Tensile Strength of Oriented Polymers Below the Glass Transition Temperature, J. Polymer Sci. Part A -2 4, 63-88 (1966). |
| Библиографическая ссылка | Prevorsek, D.C., Lyons, W.J., and Whitwell , J. C. StatisticalTreatment of Data and Extreme-Value Theory in Relation to Fatigue in Textiles , Textile Res. J. 33, 963-973 (1963). |
| Библиографическая ссылка | Thomas, W.F. , Strength of Glass Fibers, Nature 181, 1006 (1958). |
| Библиографическая ссылка | Thorne, D.J. , Distribution of Internal Flaws in Acrylic Fibers , J. Appl. Polymer Sci. 14, 103-113 (1970). |
| Библиографическая ссылка | Tukey, J.W., Private Communication. |
| Библиографическая ссылка | Wakeham, H. and Spicer, N., The Strength and Weakness of Cotton Fibers, Textile Res. J. 21, 187-194 (1951). |
| Библиографическая ссылка | Weibull, W. , A statistical Theory of the Strength of Materials , Ing. Velenskaps Akad. Handl. 151, 1939, 45 pp. |
