Self-affine nature of the stress-strain behavior of thin fiber networks

被引:18
作者
Balankin, AS
Susarrey, O
Bravo, A
机构
[1] Inst Politecn Nacl, SEPI ESIME, Mexico City 07738, DF, Mexico
[2] Inst Technol & Estudios Super Monterrey, Mexico City 52926, DF, Mexico
来源
PHYSICAL REVIEW E | 2001年 / 64卷 / 06期
关键词
D O I
10.1103/PhysRevE.64.066131
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The stress-strain behavior of toilet paper is studied. We find that the damaged parts of stress-strain curves possess a self-affine scaling invariance. Moreover. we find that the stress-strain behavior and the rupture line roughness are characterized by the same scaling (Hurst) exponent H. which is not universal: rather it changes from sample to sample. The variations on H are mainly due to fluctuations in the paper structure, which are larger than statistical errors within a sample. Furthermore. the same exponent governs the changes in the stress-strain curve as the strain rate increases, The fractal damage model is employed to explain experimental observations.
引用
收藏
页码:66131/1 / 66131/4
页数:4
相关论文
共 31 条
[1]   SYMMETRY-BREAKING FRACTURE IN RANDOM FIBER NETWORKS [J].
ASTROM, JA ;
NISKANEN, KJ .
EUROPHYSICS LETTERS, 1993, 21 (05) :557-562
[2]  
Balankin A, 1998, INT J FRACTURE, V90, pL57
[3]  
Balankin AS, 1997, REV MEX FIS, V43, P545
[4]   Physics of fracture and mechanics of self-affine cracks [J].
Balankin, AS .
ENGINEERING FRACTURE MECHANICS, 1997, 57 (2-3) :135-203
[5]   A new statistical distribution function for self-affine crack roughness parameters [J].
Balankin, AS ;
Susarrey, O .
PHILOSOPHICAL MAGAZINE LETTERS, 1999, 79 (08) :629-637
[6]   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
[7]  
BALANKIN AS, 1994, REV MEX FIS, V40, P506
[8]   Probabilistic mechanics of self-affine cracks in paper sheets [J].
Balankin, AS ;
Hernandez, LH ;
Urriolagoitia, G ;
Susarrey, O ;
González, JM ;
Martinez, J .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1999, 455 (1987) :2565-2575
[9]   Statistical topography of the set of admissible crack paths in a brittle solid [J].
Balankin, AS ;
Susarey, O .
INTERNATIONAL JOURNAL OF FRACTURE, 1996, 81 (02) :R27-R32
[10]   Intrinsic nature of anomalous crack roughening in an anisotropic brittle composite [J].
Balankin, AS ;
Matamoros, DM ;
Campos, I .
PHILOSOPHICAL MAGAZINE LETTERS, 2000, 80 (03) :165-172