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RESEARCH PAPERS

Instability of Loaded Fractal Trees

[+] Author and Article Information
J. B. Gómez

Departamento de Geologia, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, España

A. F. Pacheco

ICMA and Departamento de Fisica, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, España

A. J. Seguí-Santonja

Departamento de Física., Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, España

J. Appl. Mech 60(4), 959-961 (Dec 01, 1993) (3 pages) doi:10.1115/1.2901008 History: Received November 13, 1991; Revised June 25, 1992; Online March 31, 2008

Abstract

We analyze the failure strength of loaded structures of the fractal-tree type, from a probabilistic perspective. The consideration of the intrinsic fragilities of the basic elements at each level of the tree makes the tree differ from being equivalent to a mere hierarchically organized bundle of fibers. A simple criterion for having a linear proportionality between the size of the tree and the inverse of the threshold strength for failure is found.

Copyright © 1993 by The American Society of Mechanical Engineers
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