A Monte Carlo simulation of damage and failure process with crack saturation for unidirectional fiber reinforced ceramic composites

Composites Science and Technology

Volumn 64, Issue 13-14, 2004, Pages 2251-2260

  Cheng, Tianle ^a   Qiao, Rui ^a   Xia, Yuanming ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

A. Ceramic matrix composites; C. Finite element analysis; Matrix crack saturation

Indexed keywords

CERAMIC MATERIALS; COMPUTER SIMULATION; CRACK INITIATION; DEFORMATION; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); MONTE CARLO METHODS;

CRACK SATURATION; INTERFACE SLIDING;

FIBER REINFORCED MATERIALS;

CERAMIC MATRIX; FIBER REINFORCED COMPOSITE; MATHEMATICAL ANALYSIS; MECHANICAL PROPERTY; MODEL;

EID: 3142544680     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2004.04.001     Document Type: Article

References (34)

1. Aveston J, Cooper GA, Kelly A. Single and multiple fracture. In: The Properties of Fiber Composites, Conference Proceedings of the National Physical Laboratory. Surrey, England: IPC Science and Technology Press; 1971. p. 15-26
2. Hui C.-Y. Phyoenix S.L. Ibnabdeljalil M. Smith R.L. An exact closed form solution for fragmentation of weibull fibers in a single filament composite with applications to fiber-reinforced ceramics J. Mech. Phys. Solids 43 1995 1551-1585
3. Douglas S.B. Spearing S.M. Zok F.W. Evans A.G. Damage and failure in unidirectional ceramic-matrix composites J. Am. Ceram. Soc. 75 1992 2719-2725
4. Sun Y.J. Singh R.N. The generation of multiple matrix cracking and fiber-matrix interfacial debonding in a glass composite Acta Mater. 46 1998 1657-1667
5. Weigel N. Dinkler D. Kroplin B.H. Micromechanically based continuum damage mechanics material laws for fiber-reinforced ceramics Comput. Struct 79 2001 2277-2286
6. Curtin W.A. Fiber pull-out and strain localization in ceramic matrix composites Acta Mater. 41 1993 35-53
7. Domergue J.M. Vagaggini E. Evans A.G. Relationships between hysteresis measurements and the constituent properties of ceramic matrix composites: II, Experimental studies on unidirectional materials J. Am. Ceram. Soc. 78 1995 2721-2731
8. Vagaggini E. Domergue J.M. Evans A.G. Relationships between hysteresis measurements and the constituent properties of ceramic matrix composites: I. Theory J. Am. Ceram. Soc. 78 1995 2709-2720
9. Kimber A.C. Keer J.G. On the theoretical average crack spacing in brittle matrix composites containing continuous aligned fibres J. Mater. Sci. Lett. 1 1982 353
10. Marshall D.B. Cox B.N. Evans A.G. The mechanics of matrix cracking in brittle-matrix fiber composites Acta Metal. 33 1985 2013
11. Budiansky B. Hutchinson J.W. Evans A.G. Matrix fracture in fiber- reinforced ceramics J. Mech. Phys. Solids 34 1986 164
12. Zok F.W. Spearing S.M. Matrix crack spacing in brittle matrix composites Acta Metall. Mater. 40 1992 2033-2043
13. Evans A.G. Domergue J.M. Vagaggini E. Methodology for relating the tensile constitutive behavior of ceramic-matrix composites to constituent properties J. Am. Ceram. Soc. 77 1994 1425-1435
14. Lissart N. Lamon J. Damage and failure in ceramic matrix minicomposites: Experimental study and model Acta Mater. 45 1997 1025-1044
15. Hui C.-Y. Phoenix S.L. Shia D. The single-filament-composite test: A new statistical theory for estimating the interfacial shear strength and Weibull parameters for fiber strength Compos. Sci. Technol. 47 1997 1707-1725
16. Curtin W.A. Multiple matrix cracking in brittle matrix composites Acta Metall. Mater. 41 1993 1369-1377
17. Curtin W.A. Ahn B.K. Takeda N. Modeling brittle and tough stress-strain behaviour in unidirectional ceramic matrix composites Acta Mater. 46 1998 3409-3420
18. Fukuda H. Kawata K. On the strength distribution of unidirectional composite Fiber Sci. Technol. 10 1977 53-61
19. Kimpara I, Ocaki T. Dynamic simulations on stochastic tensile failure process of unidirectional fiber reinforced composites. Proceedings of the ISCMS (1st), Beijing 1986. p. 682-92
20. Goda Koichi The role of interfacial debonding in increasing the strength and reliability of unidirectional fibrous composites Compos. Sci. Technol. 59 1999 1871-1879
21. Ibnabdeljalil M. Phoenix S.L. Scalings in the statistical failure of brittle matrix composites with discontinuous fibers - I. Analysis and Monte Carlo simulations Acta Metall. Mater. 43 1995 2975-2983
22. Phoenix S.L. Beyerlein I.J. Statistical strength theory for fibrous composite materials Comprehensive composite materials vol. 1 2000 559-639 Pergamon (Elsevier Science) (6 volumes)
23. Mahesh S. Beyerlein I.J. Leigh Phoenix S. Size and heterogeneity effects on the strength of fibrous composites Physica D 133 1999 371-389
24. Landis Chad M. Beyerlein Irene J. McMeeking Robert M. Micromechanical simulation of the failure of fiber reinforced composites J. Mech. Phys. Solids 48 2000 621-648
25. Yuan J. Xia Y. Yang B. A note on the Monte Carlo simulation of the tensile deformation and failure process of unidirectional composites Compos. Sci. Technol. 52 1994 197-204
26. Wang Z. Yuan J. Xia Y. A dynamic Monte Carlo simulation of unidirectional composite under tensile impact Compos. Sci. Technol. 58 1998 478-495
27. Xia Y. Wang Z. Thermo-elastic brittle dynamic damage constitutive model of unidirectional composite and its numerical analysis Key Eng. Mater. 141-143 1998 713-742
28. Zhou Y. Huang W. Xia Y. A microscopic dynamic Monte Carlo simulation for unidirectional fiber reinforced metal matrix composites Compos. Sci. Technol. 62 2002 1935-1946
29. Wang Y. Research on the fracture behavior of unidirectional carbon fiber reinforced silicon matrix composites. Ph.D thesis, University of Science and Technology of China, 1999 [in Chinese]
30. Wang Y. Zhou Y.X. Xia Y.M. Numerical analysis of stress concentration for brittle matrix composites Appl. Compos. Mater. 7 2000 39-49
31. Henstenburg R.B. 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 1989 389-408
32. Phoenix S.L. Ibnabdeljalil M. Hui C.-Y. Size effects in the distribution for strength of brittle matrix fibrous composites Int. J. Solids Struct. 5 1997 545-568
33. Ibnabdeljalil M. Curtin W.A. Strength and reliability of fiber- reinforced composites: Localized load sharing and associated size effects Int. J. Solids Struct. 21 1997 2649-2668
34. Curtin W.A. The tough to brittle transition in brittle matrix composites J. Mech. Phys. Solids 41 1993 217-245