Scaling laws of creep rupture of fiber bundles

Details Scaling laws of creep rupture of fiber bundles Scaling laws of creep rupture of fiber bundles

2002-09-13

arxiv.org/abs/cond-mat/0209308v1

Phys. Rev. E 67, 061802 (2003)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 8 figures, APS style, submitted for publication

Scientific paper

10.1103/PhysRevE.67.061802

We study the creep rupture of fiber composites in the framework of fiber bundle models. Two novel fiber bundle models are introduced based on different microscopic mechanisms responsible for the macroscopic creep behavior. Analytical and numerical calculations show that above a critical load the deformation of the creeping system monotonically increases in time resulting in global failure at a finite time $t_f$, while below the critical load the system suffers only partial failure and the deformation tends to a constant value giving rise to an infinite lifetime. It is found that approaching the critical load from below and above the creeping system is characterized by universal power laws when the fibers have long range interaction. The lifetime of the composite above the critical point has a universal dependence on the system size.

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