Failure of hierarchical distributions of fibre bundles. I |
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| Authors: | William I. Newman Andrei M. Gabrielov |
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| Affiliation: | (1) Department of Earth and Space Sciences, Astronomy, and Mathematics, University of California, 90024 Los Angeles, CA, USA;(2) Department of Astronomy, Cornell University, 14853 Ithaca, NY, USA;(3) O. Yu. Schmidt Institute of Physics of the Earth, USSR Academy of Sciences, Moscow, USSR |
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| Abstract: | We consider by computational and analytic means the failure properties of hierarchically organized bundles of fibres with equal load sharing, a problem that may be treated exactly by renormalization methods. We show, independent of the specific failure properties of an individual fibre, that the threshold for failure of a fibre bundle obeys a universal scaling law with respect to the size of the bundle. Moreover, this scaling law is preserved for any hierarchical organization of fibre bundles. |
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