Scaling and fractality in subcritical fatigue crack growth: Crack-size effects on Paris' law and fatigue threshold

被引：18
作者：
Carpinteri, Alberto [1 ]
Montagnoli, Francesco [1 ]
机构：
[1] Politecn Torino, Dept Struct Geotech & Bldg Engn, Corso Duca Abruzzi 24, I-10129 Turin, Italy
来源：
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES | 2020年 / 43卷 / 04期
关键词：
crack-size effects; dimensional analysis; fatigue threshold; fractal geometry; intermediate asymptotics; Paris' law; INCOMPLETE SELF-SIMILARITY; CONCRETE FRACTURE; PROPAGATION THRESHOLD; CYCLIC PROPERTIES; PREDICTION; SURFACES; BEHAVIOR; NASGRO; RANGE;
D O I：
10.1111/ffe.13184
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The present contribution investigates the crack-size effects on Paris' law in accordance with dimensional analysis and intermediate asymptotics theory, which makes it possible to obtain a generalised equation able to provide an interpretation to the various empirical power-laws available in the Literature. Subsequently, within the framework of fractal geometry, scaling laws are determined for the coordinates of the limit-points of Paris' curve so that a theoretical explanation is provided to the so-called short cracks problem. Eventually, the proposed models are compared with experimental data available in the literature which seem to confirm the advantage of applying a fractal model to the fatigue problem.
引用
收藏
页码：788 / 801
页数：14
相关论文
共 64 条
[1]  
[Anonymous], 1975, HDB ASM, V10
[2]   Modeling approach for a unified crack growth model in short and long fatigue crack regimes [J].
Bang, D. J. ;
Ince, A. ;
Noban, M. .
INTERNATIONAL JOURNAL OF FATIGUE, 2019, 128
[3]   A modification of UniGrow 2-parameter driving force model for short fatigue crack growth [J].
Bang, D. J. ;
Ince, A. ;
Tang, L. Q. .
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES, 2019, 42 (01) :45-60
[4]   Scaling phenomena in fatigue and fracture [J].
Barenblatt, G. I. .
INTERNATIONAL JOURNAL OF FRACTURE, 2006, 138 (1-4) :19-35
[5]  
Barenblatt G.I, 2003, Scaling, V34
[6]  
Barenblatt G. I., 1987, DIMENSIONAL ANAL
[7]   INCOMPLETE SELF-SIMILARITY OF FATIGUE IN THE LINEAR RANGE OF CRACK-GROWTH [J].
BARENBLATT, GI ;
BOTVINA, LR .
FATIGUE OF ENGINEERING MATERIALS AND STRUCTURES, 1980, 3 (03) :193-202
[8]  
Buckingham E., 1915, T AM SOC MECH ENG, V37, P263
[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]   Power scaling laws and dimensional transitions in solid mechanics [J].
Carpinteri, A ;
Chiaia, B .
CHAOS SOLITONS & FRACTALS, 1996, 7 (09) :1343-1364
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