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We study the effect of strong heterogeneities on the fracture of disorderedmaterials using a fiber bundle model. The bundle is composed of two subsets offibers, i.e. a fraction 0<\alpha<1 of fibers is unbreakable, while theremaining 1-\alpha fraction is characterized by a distribution of breakingthresholds. Assuming global load sharing, we show analytically that thereexists a critical fraction of the components \alpha_c which separates twoqualitatively different regimes of the system: below \alpha_c the burst sizedistribution is a power law with the usual exponent \tau=5/2, while above\alpha_c the exponent switches to a lower value \tau=9/4 and a cutoff functionoccurs with a diverging characteristic size. Analyzing the macroscopic responseof the system we demonstrate that the transition is conditioned to disorderdistributions where the constitutive curve has a single maximum and aninflexion point defining a novel universality class of breakdown phenomena.

Universality class of fiber bundles with strong heterogeneities