A strength reliability model by Markov process of unidirectional composites with fibers placed in hexagonal arrays

International Journal of Solids and Structures

Volumn 40, Issue 24, 2003, Pages 6813-6837

  Goda, Koichi ^a  

^a YAMAGUCHI UNIVERSITY   (Japan)

Author keywords

Chain of bundles model; Composite materials; Fiber breakage; Hexagonal fiber array; Markov process; Probabilistic method; Reliability; Weibull distribution

Indexed keywords

FRACTURE TESTING; LOADS (FORCES); MARKOV PROCESSES; PARAMETER ESTIMATION; PROBABILITY DISTRIBUTIONS; RELIABILITY; WEIBULL DISTRIBUTION;

HEXAGONAL ARRAYS;

COMPOSITE MATERIALS;

COMPOSITE; STRENGTH ASSESSMENT;

EID: 0142059628     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.07.003     Document Type: Article

References (21)

1. Batdorf S.B. Tensile strength of unidirectionally reinforced composites I J. Rein Plas. Compos. 1 1982 153-164
2. Curtin W.A. Theory of mechanical properties of ceramic matrix composites J. Am. Ceram. Soc. 74 1991 2837-2845
3. Fukuda, H., Chou, T.W., Kawata, K., 1981. Probabilistic approach on the strength of fibrous composites. In: Proceedings of Japan-US Conference on Composite Materials; Mechanics, Mechanical Properties and Fabrication, pp. 181-193
4. Goda K. Application of Markov process to chain-of-bundles probability model and lifetime distribution analysis for fibrous composites Mater. Sci. Res. Int. STP-2 2001 242-249
5. Goda K. Fukunaga H. The evaluation of the strength distribution of silicon carbide and alumina fibers by a multi-modal Weibull distribution J. Mater. Sci. 21 1986 4475-4480
6. Harlow D.G. Phoenix S.L. The chain-of-bundles probability model for the strength of fibrous materials I: analysis and conjectures J. Compos. Mater. 12 1978 195-214
7. Harlow D.G. Phoenix S.L. The chain-of-bundles probability model for the strength of fibrous materials II: a numerical study of convergence J. Compos. Mater. 12 1978 314-334
8. Harlow D.G. Phoenix S.L. Probability distributions for the strength of composite materials I: two-level bounds Int. J. Frac. 17 1981 347-372
9. Harlow D.G. Phoenix S.L. Probability distributions for the strength of composite materials II: a convergent sequence of tight bounds Int J. Frac. 17 1981 601-630
10. Hedgepeth J.M. Van Dyke P. Local stress concentration in imperfect filamentary composite materials J. Compos. Mater. 1 1967 294-309
11. Karlin, S. (translated by Satoh, K., Satoh, Y.), 1990. A First Course in Stochastic Processes, Sangyo-tosho (in Japanese)
12. Mahesh S. Phoenix S.L. Beyerlein I.J. Strength distribution and size effect for 2D and 3D composites with Weibull fibers in an elastic matrix Int J. Fract. 115 2002 41-85
13. Pitt R.E. Phoenix S.L. Probability distributions for the strength of composite materials IV: localized load-sharing with tapering Int J. Frac. 22 1983 243-276
14. Phoenix S.L. Smith R.L. A comparison of probabilistic techniques for the strength of fibrous materials under local load-sharing among fibers Int J. Solids Struct. 19 1983 479-496
15. Phoenix S.L. Beyerlein I.J. Comprehensive Composite Materials Vol. 1 2000
16. Rosen B.W. Tensile failure of fibrous composites AIAA J. 2 1964 1985-1991
17. Smith R.L. A probability model for fibrous composites with local load sharing Proc. R. Soc. London A 372 1980 539-553
18. Smith R. Phoenix S.L. Greenfield M.R. Henstenburg R.B. Pitt R.E. Lower-tail approximations for the probability of failure of three-dimensional fibrous composites with hexagonal geometry Proc. R. Soc. London A 388 1983 353-391
19. Scop P.M. Argon A.S. Statistical theory of strength of laminated composites J. Compos. Mater. 1 1967 92-99
20. Scop P.M. Argon A.S. Statistical theory of strength of laminated composites II J. Compos. Mater. 3 1969 30-47
21. Zweben C. Tensile failure of fiber composites AIAA J. 6 1968 2325-2331