Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-01-24
Phys. Rev. E 77, 016608 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
8 pages, 7 figures, accepted by PRE
Scientific paper
10.1103/PhysRevE.77.016608
We study the damage process of fiber bundles in a wedge-shape geometry which ensures a constant strain gradient. To obtain the wedge geometry we consider the three-point bending of a bar, which is modelled as two rigid blocks glued together by a thin elastic interface. The interface is discretized by parallel fibers with random failure thresholds, which get elongated when the bar is bent. Analyzing the progressive damage of the system we show that the strain gradient results in a rich spectrum of novel behavior of fiber bundles. We find that for weak disorder an interface crack is formed as a continuous region of failed fibers. Ahead the crack a process zone develops which proved to shrink with increasing deformation making the crack tip sharper as the crack advances. For strong disorder, failure of the system occurs as a spatially random sequence of breakings. Damage of the fiber bundle proceeds in bursts whose size distribution shows a power law behavior with a crossover from an exponent 2.5 to 2.0 as the disorder is weakened. The size of the largest burst increases as a power law of the strength of disorder with an exponent 2/3 and saturates for strongly disordered bundles.
Kun Ferenc
Nagy Sandor
No associations
LandOfFree
Damage process of a fiber bundle with a strain gradient 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 Damage process of a fiber bundle with a strain gradient, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Damage process of a fiber bundle with a strain gradient will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-283024