Time evolution of damage under variable ranges of load transfer

Abstract

We study the time evolution of damage in a fiber bundle model in which the range of interaction of fibers varies through an adjustable stress transfer function recently introduced. We find that the lifetime of the material exhibits a crossover from mean field to short range behavior as in the static case. Numerical calculations showed that the value at which the transition takes place depends on the system's disorder. Finally, we have performed a microscopic analysis of the failure process. Our results confirm that the growth dynamics of the largest crack is radically different in the two limiting regimes of load transfer during the first stages of breaking.

arXiv comment8 pages, 7 figures, revtex4 style

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Cited by in corpus (7)

• Failure properties of fiber bundle models
• Interacting damage models mapped onto Ising and percolation models
• The cooperative effect of load and disorder in thermally activated rupture of a two-dimensional random fuse network
• Cracks in random brittle solids: From fiber bundles to continuum mechanics
• Size scaling of failure strength with fat-tailed disorder in a fiber bundle model
• Scaling laws of failure dynamics on complex networks
• Nanometric Scale Surface science and the Markov chain Monte Carlo simulation of disordered systems