Self-affine nature of the stress-strain behavior of an elastic fractal network

被引:7
作者
Balankin, AS [1 ]
Susarrey, O [1 ]
Urriolagoitia, G [1 ]
Hernández, LH [1 ]
机构
[1] Inst Politecn Nacl, ESIME, SEPI, Mexico City 07738, DF, Mexico
关键词
fractal network; fracture; self-affine scaling;
D O I
10.1016/S0375-9601(02)00427-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 = D-B - 1. Further-more, 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. (C) 2002 Published by Elsevier Science B.V.
引用
收藏
页码:376 / 386
页数:11
相关论文
共 41 条
[1]  
[Anonymous], CRITICAL PHENOMENA N
[2]   SYMMETRY-BREAKING FRACTURE IN RANDOM FIBER NETWORKS [J].
ASTROM, JA ;
NISKANEN, KJ .
EUROPHYSICS LETTERS, 1993, 21 (05) :557-562
[3]  
Balankin A, 1998, INT J FRACTURE, V90, pL57
[4]  
Balankin AS, 1997, REV MEX FIS, V43, P545
[5]   The concept of multifractal elasticity [J].
Balankin, AS .
PHYSICS LETTERS A, 1996, 210 (1-2) :51-59
[6]   Elastic behavior of materials with multifractal structures [J].
Balankin, AS .
PHYSICAL REVIEW B, 1996, 53 (09) :5438-5443
[7]   Physics of fracture and mechanics of self-affine cracks [J].
Balankin, AS .
ENGINEERING FRACTURE MECHANICS, 1997, 57 (2-3) :135-203
[8]   A new statistical distribution function for self-affine crack roughness parameters [J].
Balankin, AS ;
Susarrey, O .
PHILOSOPHICAL MAGAZINE LETTERS, 1999, 79 (08) :629-637
[9]   Some new features of interface roughening dynamics in paper-wetting experiments [J].
Balankin, AS ;
Bravo-Ortega, A ;
Matamoros, DM .
PHILOSOPHICAL MAGAZINE LETTERS, 2000, 80 (07) :503-509
[10]   Self-affine nature of the stress-strain behavior of thin fiber networks [J].
Balankin, AS ;
Susarrey, O ;
Bravo, A .
PHYSICAL REVIEW E, 2001, 64 (06) :66131/1-66131/4