2006/07/12 by Frank Raischel, Ferenc Kun, Hans J. Herrmann · 53 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Mathematics · Physics and Astronomy · #Advanced Fluorescence Microscopy Techniques #Asymmetry #Brittleness #Bundle #Composite material #Computer science #Condensed matter physics #Critical exponent #Crossover #Cutoff #Engineering #Exponent #Fiber #Fiber bundle #Limiting #Load sharing #Materials science #Mathematics #Mechanics #Phase transition #Physics #Power law #Protein Structure and Dynamics #Quantum mechanics #Range (aeronautics) #Statistics #Theoretical and Computational Physics #cond-mat.mtrl-sci #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.74.035104
published in Physical Review E 74(3), 035104 (American Physical Society) · 4 pages, 4 figures
arxiv created 2006/07/12 · openalex publication_date 2006/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the failure properties of fiber bundles with a finite lower cutoff of the strength disorder varying the range of interaction between the limiting cases of completely global and completely local load sharing. Computer simulations revealed that at any range of load redistribution there exists a critical cutoff strength where the macroscopic response of the bundle becomes perfectly brittle, i.e., linearly elastic behavior is obtained up to global failure, which occurs catastrophically after the breaking of a small number of fibers. As an extension of recent mean field studies [Phys. Rev. Lett. 95, 125501 (2005)], we demonstrate that approaching the critical cutoff, the size distribution of bursts of breaking fibers shows a crossover to a universal power law form with an exponent 3/2 independent of the range of interaction.