Probabilistic mechanics of self-affine cracks in paper sheets

被引:24
作者
Balankin, AS [1 ]
Hernandez, LH [1 ]
Urriolagoitia, G [1 ]
Susarrey, O [1 ]
González, JM [1 ]
Martinez, J [1 ]
机构
[1] Inst Politecn Nacl, SEPI, ESIME, Zacatenco,Unidad Prof Adolfo Lopez Mateos, Mexico City 07738, DF, Mexico
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1999年 / 455卷 / 1987期
关键词
probability; self-affinity; roughness; crack mechanics;
D O I
10.1098/rspa.1999.0417
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
\Crack mechanics in single-notched sheets of paper is analysed by an approach that combines the concept of virtual crack trajectory ensemble with self-affine crack mechanics formalism. The crack initiation criterion is determined for three kinds of paper. The probability distributions of crack roughness and strength parameters are established. A probabilistic model of self-affine crack propagation in paper is proposed.
引用
收藏
页码:2565 / 2575
页数:11
相关论文
共 21 条
[1]  
[Anonymous], STAT MODELS FRACTURE
[2]  
Balankin A. S., 1992, Soviet Physics - Doklady, V37, P379
[3]   Physics of fracture and mechanics of self-affine cracks [J].
Balankin, AS .
ENGINEERING FRACTURE MECHANICS, 1997, 57 (2-3) :135-203
[4]   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
[5]   Models of self-affine cracks in brittle and ductile materials [J].
Balankin, AS .
PHILOSOPHICAL MAGAZINE LETTERS, 1996, 74 (06) :415-422
[6]   The effect of self-affine roughness on crack mechanics in elastic solids [J].
Balankin, AS ;
BravoOrtega, A ;
GaliciaCortes, MA ;
Susarey, O .
INTERNATIONAL JOURNAL OF FRACTURE, 1996, 79 (04) :R63-R68
[7]  
Balankin AS, 1997, INT J FRACTURE, V87, pL37
[8]   Crack-resistance behavior as a consequence of self-similar fracture topologies [J].
Carpinteri, A ;
Chiaia, B .
INTERNATIONAL JOURNAL OF FRACTURE, 1996, 76 (04) :327-340
[9]   FRACTAL NATURE OF MATERIAL MICROSTRUCTURE AND SIZE EFFECTS ON APPARENT MECHANICAL-PROPERTIES [J].
CARPINTERI, A .
MECHANICS OF MATERIALS, 1994, 18 (02) :89-101
[10]   Multifractal scaling laws in the breaking behaviour of disordered materials [J].
Carpinteri, A ;
Chiaia, B .
CHAOS SOLITONS & FRACTALS, 1997, 8 (02) :135-150