Selfaffine nature of the stressstrain behavior of an elastic fractal network
Abstract
The stressstrain behavior of fractal networks possesses selfaffine scaling associated with statistical scale invariance of damage patterns. We found that the damage part of stressstrain curve of fractal network and the corresponding rupture line are characterized by the same scaling (Hurst) exponent, H, which is not universal, rather it depends on the network fractal dimension as H= D_{B}1. Furthermore, the same exponent governs the changes in the stressstrain behavior as the strain rate increases. These results were reproduced by Monte Carlo simulations using a fractal version of fiber bundle model.
 Publication:

Physics Letters A
 Pub Date:
 May 2002
 DOI:
 10.1016/S03759601(02)004279
 Bibcode:
 2002PhLA..297..376B