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We study precursors of failure in hierarchical random fuse network modelswhich can be considered as idealizations of hierarchical (bio)materials wherefibrous assemblies are held together by multi-level (hierarchical) cross-links.When such structures are loaded towards failure, the patterns of precursoryavalanche activity exhibit generic scale invariance: Irrespective of load,precursor activity is characterized by power-law avalanche size distributionswithout apparent cut-off, with power-law exponents that decrease continuouslywith increasing load. This failure behavior and the ensuing super-rough crackmorphology differ significantly from the findings in non-hierarchicalstructures.

Avalanche precursors of failure in hierarchical fuse networks