Stochastic modeling of multi-filament yarns: II. Random properties over the length and size effect

International Journal of Solids and Structures

Volumn 43, Issue 3-4, 2006, Pages 435-458

  Vorechovsky M ^a   Chudoba, R ^b  

^a BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

Delayed activation; Fiber bundle models; Multi filament yarn; Random field simulation; Size effect

Indexed keywords

COMPUTER SIMULATION; FIBERS; MONTE CARLO METHODS; STIFFNESS; STOCHASTIC CONTROL SYSTEMS; TENSILE TESTING;

DELAYED ACTIVATION; FIBER BUNDLE MODELS; MULTI-FILAMENT YARN; RANDOM FIELD SIMULATION; SIZE EFFECT;

YARN;

FILAMENTS; RANDOM PROCESSES; SIMULATION; STIFFNESS; TENSILE TESTS; YARN;

EID: 28244443689     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.06.062     Document Type: Article

References (30)

1. Z.P. Bažant, and D. Novák Probabilistic nonlocal theory for quasi-brittle fracture initiation and size effect. I: Theory Journal of Engineering Mechanics 126 2 2000
2. Bažant, Z.P., Pang, S.D., Vořechovský, M., Novák, D., Pukl, R., 2004. Statistical size effect in quasibrittle materials: computation and extreme value theory. In: Li, V.C., Willam, K.J., Leung, C.K.Y., Billington, S.L. (Eds.), 5th International Conference FraMCoS-Fracture Mechanics of Concrete and Concrete Structures, vol. 1, Ia-FraMCos, Vail, Colorado, USA, pp. 189-196.
3. Z.P. Bažant, and J. Planas Fracture and Size Effect in Concrete and other Quasibrittle Materials 1998 CRC Press Boca Raton and London
4. Z.P. Bažant, M. Vořechovský, and D. Novák Asymptotic prediction of energetic-statistical size effect from deterministic finite element solutions Journal of Engineering Mechanics 2005 page in review
5. Z.P. Bažant, and Y. Xi Statistical size effect in quasibrittle structures. II. Nonlocal theory Journal of Engineering Mechanics 117 11 1991 2623 2640
6. E. Castillo Extreme Value Theory in Engineering 1988 Academic Press, Inc. (London) Ltd.
7. R. Chudoba, M. Vořechovský, and M. Konrad Stochastic modeling of multi-filament yarns. I: random properties within the cross-section and size effect International Journal of Solids and Structures 2005
8. H.E. Daniels The statistical theory of the strength of bundles of threads Proceedings of the Royal Society (London) 183A 1945 405
9. H.E. Daniels The maximum of a Gaussian process whose mean path has a maximum, with an application to the strength of bundles of fibres Advances of Applied Probability 21 1989 315 333
10. B. Epstein Statistical aspects of fracture problems Journal of Applied Physics 19 1948 140 147
11. R.A. Fisher, and L.H.C. Tippett Limiting forms of the frequency distribution of the largest and smallest member of a sample Proceedings of the Cambridge Philosophical Society 24 1928 180 190
12. B.V. Gnedenko Sur la distribution limite du terme maximum d'une série aléatorie Annals of Mathematics, 2nd Series 44 3 1943 423 453
13. E.J. Gumbel Statistics of Extremes 1958 Columbia University Press New York
14. Hohenbichler, M., 1983. Resistance of large brittle parallel systems. In: ICASP 4, International Conference on Applications of Statistics and Probability in Soil and Structural Engineering, University of Firenze, Italy, pp. 1301-1312.
15. M. Hohenbichler, and R. Rackwitz Reliability of parallel systems under imposed uniform strain Journal of Engineering Mechanics 109 3 1983 896 907
16. R. Iman, and W. Conover Small sample sensitivity analysis techniques for computer models with an application to risk assessment Communications in Statistics: Theory and Methods A9 17 1980 1749 1842
17. R. Iman, and W. Conover A distribution free approach to inducing rank correlation among input variables Communications in Statistics B11 1982 311 334
18. Novák, D., Lawanwisut, W., Bucher, C., 2000. Simulation of random fields based on orthogonal transformation of covariance matrix and Latin Hypercube Samplings. In: Schuëller, G.I., Spanos, P.D. (Eds.), International Conference on Monte Carlo Simulation (MCS 2000). Swets & Zeitlinger, Lisse (2001). Monaco, Monte Carlo, pp. 129-136.
19. J. Olsson, and G. Sandberg Latin hypercube sampling for stochastic finite element analysis Journal of Engineering Mechanics 128 1 2002 121 125 Technical Note
20. S.L. Phoenix Probabilistic strength analysis of fibre bundle structures Fibre Sciences and Technology 7 1974 15 31
21. S.L. Phoenix Probabilistic inter-fiber dependence and the asymptotic strength distribution of classic fiber bundles International Journal of Engineering Science 13 1975 287 304
22. S.L. Phoenix Statistical theory for the strength of twisted fiber bundles with applications to yarns and cables Textile Research Journal 1979 407 423
23. S.L. Phoenix, and H.M. Taylor The asymptotic strength distribution of a general fiber bundle Advances in Applied Probability 5 1973 200 216
24. R.L. Smith The asymptotic distribution of a series-parallel system with equal load-sharing The Annals of Probability 10 1 1982 137 171
25. M. Vořechovský Stabilita a konvergence numerických metod při simulaci extrémních hodnot rozdě lení (Stability and convergence of numerical methods for simulation of statistics of extremes) PPK 2004 Pravděpodobnost porušová ní konstrukcí 2004 Brno University of Technology Brno, Czech Republic pp. 257-264 (in Czech)
26. Vořechovský, M., in preparation. Comparison of stability and accuracy of numerical simulation methods for simulation of statistics of extremes. Probabilistic Engineering Mechanics.
27. Vořechovský, M., submitted for publication. Simulation of cross-correlated random fields by series expansion methods. Structural Safety.
28. Vořechovský, M., Novák, D., 2002. Correlated random variables in probabilistic simulation. In: Schießl, P., Gebbeken, N., Keuser, M., Zilch, K. (Eds.), 4th International Ph.D. Symposium in Civil Engineering, Munich, Germany. Millpress, Rotterdam, pp. 410-417.
29. Vořechovský, M., Novák, D., 2003. Efficient random fields simulation for stochastic fem analyses. In: Der Kiureghian, M.P. (Ed.), 2nd M.I.T. Conference on Computational Fluid and Solid Mechanics, Cambridge, USA. Millpress, Rotterdam, pp. 2383-2386.
30. W. Weibull The Phenomenon of Rupture in Solids vol. 153 1939 Royal Swedish Institute of Engineering Research (Ingenioersvetenskaps Akad. Handl.) Stockholm 1-55