Universal scaling and nonlinearity in surface layer fragmentation
2000; American Physical Society; Volume: 61; Issue: 3 Linguagem: Inglês
10.1103/physreve.61.3216
ISSN1538-4519
AutoresUlrich A. Handge, Igor M. Sokolov, A. Blumen,
Tópico(s)Diamond and Carbon-based Materials Research
ResumoWe analyze disordered one-dimensional bond-network models and investigate the influence of nonlinear force-elongation relations $F\ensuremath{\propto}|x{|}^{m}$ on the fragmentation of coatings under tension. We aim to elucidate the interplay between the nonlinear forces and the random failure thresholds of the bonds. After an initial stage, the mean fragment length 〈L〉 scales with the applied strain \ensuremath{\varepsilon}, $〈L〉\ensuremath{\propto}{\ensuremath{\varepsilon}}^{\ensuremath{-}\ensuremath{\alpha}},$ where $\ensuremath{\alpha}=m/(m+1)$ for weakly disordered and $\ensuremath{\alpha}=m/(m+2)$ for strongly disordered coatings.
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