Abstract
We present a theoretical investigation of damage development in Ceramic Matrix Composites (CMC's) before catastrophic failure under gradual loading conditions. The aim of the work is to give a theoretical interpretation of the experimental results on the development of damage in the C/C-SiC composite obtained by cyclically loading, unloading, and reloading a planar specimen. Our approach is based on statistical, micromechanical models of the failure of CMC's in the framework of global load sharing, where the failure mechanism includes quasi-periodic matrix cracking, gradual breaking of fibers, and sliding of broken fibers with respect to the matrix. It is demonstrated that the non-linear characteristics of the constitutive behavior and the potential drop measured under uniaxial loading of a planar C/C-SiC specimen can be described with reasonable accuracy in the framework of statistical, micromechanical models.
Similar content being viewed by others
References
H. E. Daniels, Proc. R. Soc. London A 183 (1945) 405.
B. D. Coleman, J. Appl. Phys. 29 (1958) 968.
D. Krajcinovic and M. A. G. Silva, Int. J. Solids Struct. 18 (1982) 551.
D. Sornette, J. Phys. A 22 (1989) L243.
Idem., J. Phys. France 50 (1989) 745.
C. Moukarzel and P. M. Duxbury, J. Appl. Phys. 76 (1994) 1.
D. G. Harlow and S. L. Phoenix, J. Composite Mater. 12 (1978) 195.
R. L. Smith and S. L. Phoenix, J. Appl. Mech. 48 (1981) 75; D. G. HARLOW and S. L. PHOENIX, J. Mech. Phys. Solids 39 (1991) 173.
S. L. Phoenix, M. Ibnabdeljalil and C.-Y. Hui, Int. J. Solids Struct. 34 (1997) 545.
S. L. Phoenix and Raj, Acta Metall. Mater. 40 (1992) 2813.
I. J. Beyerlein and S. L. Phoenix, J. Mech. Phys. Solids 44 (1996) 1997.
M. Ibnabdeljalil and W. A. Curtin, Int. J. Solids Struct. 34 (1997) 2649.
W. A. Curtin, J. Mech. Phys. Solids 41 (1993) 217.
S. J. Zhou and W. A. Curtin, Acta. Metal. Mater. 43 (1995) 3093.
W. A. Curtin and N. Takeda, J. Comp. Matls. 32 (1998) 2042.
W. A. Curtin, J. Am. Ceram. Soc. 74 (1991) 2837.
Idem., Phys. Rev. Lett. 80 (1998) 1445.
A. G. Evans and F. W. Zok, J. Mater. Sci. 29 (1994) 3857.
D. Walz, Arbeits-und Ergebnisbericht 1996 des SFB 381-Teilprojektes A4 (Stuttgart, Germany, 1996).
K. Maile, K. Kussmaul and D. S. Walz, in Proceedings of 5th International Conference on Composites Engineering, Las Vegas, July 1997.
K. Maile and D. Walz, in Proceedings of 4th International Conference on Ceramic Composites, Belgium, November 1997.
A. Udoh and K. Maile, Preprint, unpublished.
K. Maile Idem., Preprint, unpublished.
R. Aoki, Preprint, unpublished.
F. Hild, A. Burr and F. A. Leckie, Eur. J. Mech. A 13 (1994) 731.
N. Weigel, B. KrÖplin and D. Dinkler, unpublished.
P. Ladevèze, A. Gasser and O. Allix, J. Engineering Materials and Technology 116 (1994) 331.
H. Cao and M. D. Thouless, J. Am. Ceram. Soc. 73 (1990) 2091.
K. R. Turner, J. S. Speck and A. G. Evans, ibid. 78 (1995) 1841.
D. B. Marshall and W. C. Oliver, ibid. 70 (1987) 542.
H. L. Cox, Br. J. Appl. Phys. 3 (1952) 72.
A. Hansen and P. C. Hemmer, Phys. Lett. A 184 (1994) 394.
M. Kloster, A. Hansen and P. C. Hemmer, Phys. Rev. E 56 (1997) 2615.
W. I. Newman, A. M. Gabrielov, T. A. Durand, S. L. Phoenix and D. L. Turcotte, Physica D 77 (1994) 200.
W. I. Newman, D. L. Turcotte and A. M. Gabrielov, Phys. Rev. E 52 (1995) 4827.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kun, F., Herrmann, H.J. Damage development under gradual loading of composites. Journal of Materials Science 35, 4685–4693 (2000). https://doi.org/10.1023/A:1004842704921
Issue Date:
DOI: https://doi.org/10.1023/A:1004842704921