Self-affine nature of the stress-strain behavior of an elastic fractal network
نویسندگان
چکیده
The stress-strain behavior of fractal networks possesses self-affine scaling associated with statistical scale invariance of damage patterns. We found that the damage part of stress-strain 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 =DB − 1. Furthermore, the same exponent governs the changes in the stress-strain behavior as the strain rate increases. These results were reproduced by Monte Carlo simulations using a fractal version of fiber bundle model. 2002 Published by Elsevier Science B.V. PACS: 46.50.+j; 46.30.Nz; 47.53.+n; 61.43 Hv
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