The problem of a co-linear array of cracks in a transformation-toughened ceramic under a monotonically increasing load was analyzed using the theory of complex potentials and the dislocation formalism. The analysis was applicable to both an homogeneous material which contained multiple cracks, and a brittle matrix ceramic which was reinforced with distributed transformable particles. The detrimental effect of transformation at the onset of crack growth was generally found to be amplified by crack-tip interactions. In the case of the particle-reinforced ceramic, the maximum relative strengthening effect was found for moderate volume fractions of large particles.

Multiple Cracks in Transformation Toughened Ceramics. C.V.Moller, B.L.Karihaloo: Mechanics of Materials, 1995, 21[4], 325-34