TY - JOUR
T1 - Self-affine nature of the stress-strain behavior of an elastic fractal network
AU - Balankin, Alexander S.
AU - Susarrey H, Orlando
AU - Urriolagoitia C., Guillermo
AU - Hernández, Luis H.
N1 - Funding Information:
This work was supported by the Mexican Government under the CONACyT grant N 34951-U, National Polytechnic Institute under research program N 4601 and by the Mexican Petroleum Institute under the Pipeline Integrity Program. Authors thank the journal referees for useful comments concerning this work, especially, the useful remarks of J.J. Ramasco are acknowledged.
PY - 2002/5/20
Y1 - 2002/5/20
N2 - 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.
AB - 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.
KW - Fractal network
KW - Fracture
KW - Self-affine scaling
UR - http://www.scopus.com/inward/record.url?scp=0037141027&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(02)00427-9
DO - 10.1016/S0375-9601(02)00427-9
M3 - Artículo
SN - 0375-9601
VL - 297
SP - 376
EP - 386
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5-6
ER -