On Crack Path in Fibres-Reinforced Ceramic Composites


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A micromechanics study is presented of the matrix cracking of fibres-reinforced ceramic composites when subject to tensile stressing normal to fibres. Stability and/or instability of the straight micro-crack paths is investigated for a periodic array of originally collinear, slowly growing microcracks with fibres located in between the neighbouring micro-cracks tips. The relevant application e.g. refers to matrix cracking in 90° plies of cross-ply ceramic composites. The problem is solved using the technique of distributed dislocations and an approximate fundamental solution for a single edge dislocation lying in a general point between inclusion centres. The Muschelishvili complex potentials and the Galerkin method for a numerical evaluation of coefficients of suitable chosen bas functions are employed. Numerical results are presented showing an influence of mutual microcracks-fibres geometry and the mismatch of elastic properties on micro-crack path stability/instability.



Edited by:

Jaroslav Pokluda




T. Profant and M. Kotoul, "On Crack Path in Fibres-Reinforced Ceramic Composites", Materials Science Forum, Vol. 482, pp. 299-302, 2005

Online since:

April 2005




[1] Z.C. Xia, R.R. Carr and J.W. Hutchinson: Acta metall. Mater. Vol. 41(1993), p.2365.

[2] T. Profant and M. Kotoul: Key Engng. Mater. Vol 251-252 (2003), p.279.

[3] S. Melin: Int. J. Fracture Vol. 23 (1983), p.37. Acknowledgement. The support through the grant GA CR 101/02/0683 is gratefully acknowledged.