Stochastic approach to multiple cracking in composite systems based on the extreme-values theory

Composites Science and Technology

Volumn 69, Issue 10, 2009, Pages 1607-1614

  Lamon, Jacques ^a  

^a UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

A. Structural composites; B. Fragmentation; B. Modelling; C. Probabilistic methods; D. Scanning electron microscopy (SEM)

Indexed keywords

A. STRUCTURAL COMPOSITES; B. FRAGMENTATION; B. MODELLING; C. PROBABILISTIC METHODS; D. SCANNING ELECTRON MICROSCOPY (SEM);

BRITTLE FRACTURE; ELECTRON MICROSCOPES; FORECASTING; POLYMER MATRIX COMPOSITES; RANDOM PROCESSES; RANDOM VARIABLES; SCANNING; SCANNING ELECTRON MICROSCOPY; STOCHASTIC MODELS; TENSILE TESTING;

CERAMIC MATRIX COMPOSITES;

CERAMICS; COMPOSITE; FAILURE ANALYSIS; FRACTURE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; STRENGTH; STRESS-STRAIN PROPERTY; TENSILE PROPERTY;

EID: 67349216054     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2009.03.009     Document Type: Article

References (25)

1. Henstenburg R.B., and Phoenix S.L. Interfacial shear strength studies using the single-filament-composite test Part II: A probability model and Monte Carlo simulation. Polym Compos 10 6 (1989) 389-408
2. Hui C.-Y., Phoenix S.L., Ibnabdeljalil M., and Smith R.L. An exact closed form solution for fragmentation of Weibull fibers in single filament composite with applications to fiber-reinforced ceramics. J Mech Phys Solids 43 10 (1995) 1551-1585
3. Okabe T., Takeda N., Komotori J., Shimizu M., and Curtin W.A. A new fracture mechanics model for multiple matrix cracks of SiC reinforced brittle-matrix composites. Acta Mater 47 17 (1999) 4299-4309
4. Curtin W.A. Multiple matrix cracking in brittle matrix composites. Acta Metall 74 (1993) 1369
5. Ochai S., and Hojo M. Multiple cracking of a coating layer and its influence on fiber strength. J Mater Sci 30 (1995) 509-513
6. Kullaa J. Micromechanics of multiple cracking, Part II statistical tensile behaviour. J Mater Sci 33 (1998) 4225-4234
7. Jeulin D. Modèles morphologiques de structures aléatoires et de changement d'échelles. Ph.D. Thesis, University of Caen; 1991.
8. Baxevanakis C., Jeulin D., and Valentin D. Fracture statistics of single-fiber composite specimens. Compos Sci Technol 48 (1993) 47-56
9. Baxevanakis C. Comportment statistique à rupture des composites stratifiés, Ph.D. Thesis. Ecole Nationale Supérieure des Mines de Paris; 1994.
10. Lamon J. Micromechanics-based approach to the mechanical behavior of brittle matrix composites. Compos Sci Technol 61 (1996) 2259-2272
11. Wagner H.D. Stochastic concepts in the study of size effects in the mechanical strength of highly oriented polymeric materials. J Polym Sci, Part B: Polym Phys 27 (1989) 115-149
12. Wagner H.D., and Eitan A. Interpretation of the fragmentation phenomenon in single-filament composites experiments. Appl Phys Lett 56 (1990) 20
13. Guillaumat L., and Lamon J. Fracture statistics applied to modelling the non-linear stress-strain behaviour in microcomposites: influence of interfacial parameters. Int J Fract 82 (1996) 297-316
14. Lissart N., and Lamon J. Damage and failure in ceramic matrix minicomposites: experimental study and model. Acta Mater 45 3 (1997) 1025-1044
15. Lebrun GA. Thermomechanical behavior and lifetime of ceramic matrix composites: theory and experiment". Ph.D. Thesis, no. 1606. University of Bordeaux 1; 1996 [in French].
16. Pailler F., and Lamon J. Micromechanics-based model of fatigue/oxidation for ceramic matrix composites. Compos Sci Technol 65 (2005) 369-374
17. Bertrand S., Pailler R., Forio P., and Lamon J. Hi-Nicalon/SiC minicomposites with (PyC/SiC)n nanoscale-multilayered interphases. J Am Ceram Soc 82 9 (1999) 2465-2473
18. Lamon J., and Evans A.G. The statistical analysis of bending strengths for brittle solids: a multiaxial fracture problem. J Am Ceram Soc 66 3 (1983) 177-182
19. Lamon J. Statistical approaches to failure for ceramic reliability assessment. J Am Ceram Soc 71 2 (1988) 106-112
20. Lamon J. Mechanics of brittle fracture and damage: statistical-probabilistic approaches (2007), Lavoisier-Hermès, Paris [in French]
21. Lamon J, Lissart N, Rechiniac C, Roach DM, Jouin JM. Micromechanical and statistical approach to the behavior of CMCs. In: Composites and advanced ceramics, The American Ceramic Society, ceramic engineering and science proceedings; September-October 1993. p. 1115-24.
22. Lamon J., Rebillat F., and Evans A.G. Assessment of a microcomposite test procedure for evaluating constituent properties of ceramic matrix composites. J Am Ceram Soc 78 2 (1995) 401-405
23. Curtin W.A. Theory of mechanical properties of ceramic matrix composites. J Am Ceram Soc 74 11 (1991) 2837-2845
24. Beyerle D.S., Spearing S.M., Zok F.W., and Evans A.G. Damage and failure in unidirectional ceramic-matrix composites. J Am Ceram Soc 5 10 (1992) 2719-2725
25. Rousset G. Probabilistic approach to rupture of a metal matrix composite in cyclic fatigue. Ph. D. Thesis, no. 3568. University of Bordeaux; 2008 [in French].