Scaling behaviour in the fracture of fibrous materials

Details Scaling behaviour in the fracture of fibrous materials Scaling behaviour in the fracture of fibrous materials

2000-08-10

arxiv.org/abs/cond-mat/0008171v2

Eur. Phys. J. B. 13, 313 (2000)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures, Latex

Scientific paper

We study the existence of distinct failure regimes in a model for fracture in fibrous materials. We simulate a bundle of parallel fibers under uniaxial static load and observe two different failure regimes: a catastrophic and a slowly shredding. In the catastrophic regime the initial deformation produces a crack which percolates through the bundle. In the slowly shredding regime the initial deformations will produce small cracks which gradually weaken the bundle. The boundary between the catastrophic and the shredding regimes is studied by means of percolation theory and of finite-size scaling theory. In this boundary, the percolation density $\rho$ scales with the system size $L$, which implies the existence of a second-order phase transition with the same critical exponents as those of usual percolation.

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