Failure of hierarchical distributions of fibre bundles. I

✍ Scribed by William I. Newman; Andrei M. Gabrielov

• Book ID: 104616611
• Publisher: Springer Netherlands
• Year: 1991
• Tongue: English
• Weight: 750 KB
• Volume: 50
• Category: Article
• ISSN: 1573-2673
• DOI: 10.1007/bf00035165

✦ Synopsis

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 an), hierarchical organization of fibre bundles.