Fracture model with variable range of interaction

Details Fracture model with variable range of interaction Fracture model with variable range of interaction

2001-09-13

arxiv.org/abs/cond-mat/0109240v3

Physical Review E 65, 046148 (2002).

Physics

Condensed Matter

Statistical Mechanics

8 pages, 8 figures. Two columns revtex format. Final version to be published in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.046148

We introduce a fiber bundle model where the interaction among fibers is modeled by an adjustable stress-transfer function which can interpolate between the two limiting cases of load redistribution, the global and the local load sharing schemes. By varying the range of interaction several features of the model are numerically studied and a crossover from mean field to short range behavior is obtained. The properties of the two regimes and the emergence of the crossover in between are explored by numerically studying the dependence of the ultimate strength of the material on the system size, the distribution of avalanches of breakings, and of the cluster sizes of broken fibers. Finally, we analyze the moments of the cluster size distributions to accurately determine the value at which the crossover is observed.

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