Failure process of a bundle of plastic fibers

Details Failure process of a bundle of plastic fibers Failure process of a bundle of plastic fibers

2006-01-13

arxiv.org/abs/cond-mat/0601290v2

Phys. Rev. E 73, 066101 (2006)

Physics

Condensed Matter

Statistical Mechanics

replaced with revised version;14 pages, 19 figures

Scientific paper

10.1103/PhysRevE.73.066101

We present an extension of fiber bundle models considering that failed fibers still carry a fraction $0 \leq \alpha \leq 1$ of their failure load. The value of $\alpha$ interpolates between the perfectly brittle failure $(\alpha = 0)$ and perfectly plastic behavior $(\alpha=1)$ of fibers. We show that the finite load bearing capacity of broken fibers has a substantial effect on the failure process of the bundle. In the case of global load sharing it is found that for $\alpha \to 1$ the macroscopic response of the bundle becomes perfectly plastic with a yield stress equal to the average fiber strength. On the microlevel, the size distribution of avalanches has a crossover from a power law of exponent $\approx 2.5$ to a faster exponential decay. For localized load sharing, computer simulations revealed a sharp transition at a well defined value $\alpha_c$ from a phase where macroscopic failure occurs due to localization as a consequence of local stress enhancements, to another one where the disordered fiber strength dominates the damage process. Analysing the microstructure of damage, the transition proved to be analogous to percolation. At the critical point $\alpha_c$, the spanning cluster of damage is found to be compact with a fractal boundary. The distribution of bursts of fiber breakings shows a power law behaviour with a universal exponent $\approx 1.5$ equal to the mean field exponent of fiber bundles of critical strength distributions. The model can be relevant to understand the shear failure of glued interfaces where failed regions can still transmit load by remaining in contact.

Affiliated with

Also associated with

No associations

Rating

Failure process of a bundle of plastic fibers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Failure process of a bundle of plastic fibers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Failure process of a bundle of plastic fibers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-452800