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An analysis of disorder in thin silicon oxide coatings

We analyze theoretically and experimentally the influence of disorder in thin brittle coatings on their fragmentation kinetics. It turns out that in linear bond-network models the mean fragment length ⟨L⟩ scales with the applied strain ϵ, i.e. ⟨L⟩ ∝ ϵ−α, with α depending on the degree of disorder in the coating. Experimentally we monitor the fragmentation of thin silicon oxide coatings. The analysis of the fragmentation kinetics reveals that ⟨L⟩ ∝ ϵ−α is well fulfilled and that α ranges from 1/3 to 1/2, being in very good agreement with the theory.