Fractal dimension for bending–torsion fatigue fracture characterisation

•Fractal dimension for fatigued samples of aluminium and steel alloys was investigated.•Correlation between fractal dimension and loading type was studied via entire fracture area method.•Average values of the fractal dimension exhibited fixed behaviour regardless of the material type.•Fractal dimen...

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Published inMeasurement : journal of the International Measurement Confederation Vol. 184; p. 109910
Main Authors Macek, Wojciech, Branco, Ricardo, Korpyś, Mateusz, Łagoda, Tadeusz
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 01.11.2021
Elsevier Science Ltd
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Online AccessGet full text
ISSN0263-2241
1873-412X
DOI10.1016/j.measurement.2021.109910

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Abstract •Fractal dimension for fatigued samples of aluminium and steel alloys was investigated.•Correlation between fractal dimension and loading type was studied via entire fracture area method.•Average values of the fractal dimension exhibited fixed behaviour regardless of the material type.•Fractal dimension based on extreme values effectively correlated data using linear functions. Fracture surfaces after biaxial fatigue tests were compared using fractal dimension for three types of metallic materials in smooth and notched specimens made of S355J2 and 10HNAP steels and 2017-T4 aluminium alloy, considering both proportional and nonproportional cyclic loading. High-resolution optical 3D measurement studies were performed on the entire fracture surface. A direct correlation between fractal dimension and fatigue loading was established. This systematic relationship can serve as a basis for obtaining information about fatigue loading from the fracture surfaces of failed materials and structures. Moreover, measurements of the fracture surface with an optical profilometer, quantitative analysis, and fractography contribute to a better comprehension of the fatigue failure processes. Differences in individual zones of fatigue fractures were identified while demonstrating the correctness of the total fracture surface method.
AbstractList •Fractal dimension for fatigued samples of aluminium and steel alloys was investigated.•Correlation between fractal dimension and loading type was studied via entire fracture area method.•Average values of the fractal dimension exhibited fixed behaviour regardless of the material type.•Fractal dimension based on extreme values effectively correlated data using linear functions. Fracture surfaces after biaxial fatigue tests were compared using fractal dimension for three types of metallic materials in smooth and notched specimens made of S355J2 and 10HNAP steels and 2017-T4 aluminium alloy, considering both proportional and nonproportional cyclic loading. High-resolution optical 3D measurement studies were performed on the entire fracture surface. A direct correlation between fractal dimension and fatigue loading was established. This systematic relationship can serve as a basis for obtaining information about fatigue loading from the fracture surfaces of failed materials and structures. Moreover, measurements of the fracture surface with an optical profilometer, quantitative analysis, and fractography contribute to a better comprehension of the fatigue failure processes. Differences in individual zones of fatigue fractures were identified while demonstrating the correctness of the total fracture surface method.
Fracture surfaces after biaxial fatigue tests were compared using fractal dimension for three types of metallic materials in smooth and notched specimens made of S355J2 and 10HNAP steels and 2017-T4 aluminium alloy, considering both proportional and nonproportional cyclic loading. High-resolution optical 3D measurement studies were performed on the entire fracture surface. A direct correlation between fractal dimension and fatigue loading was established. This systematic relationship can serve as a basis for obtaining information about fatigue loading from the fracture surfaces of failed materials and structures. Moreover, measurements of the fracture surface with an optical profilometer, quantitative analysis, and fractography contribute to a better comprehension of the fatigue failure processes. Differences in individual zones of fatigue fractures were identified while demonstrating the correctness of the total fracture surface method.
ArticleNumber 109910
Author Łagoda, Tadeusz
Macek, Wojciech
Branco, Ricardo
Korpyś, Mateusz
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  givenname: Tadeusz
  surname: Łagoda
  fullname: Łagoda, Tadeusz
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Cites_doi 10.1016/j.scriptamat.2008.04.010
10.1038/308721a0
10.1016/S0013-7944(02)00019-X
10.3390/met8010032
10.1016/j.ijfatigue.2016.02.021
10.1016/j.msea.2015.10.068
10.1016/S0142-1123(01)00149-9
10.1088/1361-6501/aa7ce2
10.1016/j.rinma.2020.100118
10.3390/ma13173691
10.1016/j.ijfatigue.2018.02.001
10.1016/j.ijfatigue.2016.06.031
10.1016/j.wear.2010.06.001
10.1016/j.apsusc.2012.01.091
10.1016/j.precisioneng.2016.06.001
10.1016/j.engfracmech.2017.04.026
10.1016/j.measurement.2019.107347
10.1016/S0013-7944(01)00085-6
10.1016/j.msea.2006.03.153
10.1007/s10704-006-8264-x
10.1016/j.ijfatigue.2007.02.027
10.1016/S0013-7944(98)00035-6
10.1016/j.engfailanal.2019.07.056
10.1016/j.optlaseng.2019.04.018
10.1016/j.measurement.2021.109443
10.1017/S1431927616004311
10.1016/j.msea.2018.03.077
10.1016/j.apsusc.2017.12.016
10.1007/s11665-016-2293-z
10.1016/j.ultramic.2015.11.001
10.1063/1.5066463
10.1016/j.ijfatigue.2018.06.017
10.1016/j.engfracmech.2020.106896
10.1016/j.ijfatigue.2007.07.001
10.1046/j.1460-2695.2002.00506.x
10.1016/j.engfailanal.2020.104784
10.1016/j.ijfatigue.2009.07.009
10.1016/j.surfin.2020.100650
10.1007/s13632-017-0396-z
10.12693/APhysPolA.131.1565
10.1016/j.apsusc.2018.11.179
10.1016/j.engfailanal.2017.02.014
10.1016/j.ijfatigue.2017.04.001
10.1016/j.engfailanal.2019.02.007
10.1111/ffe.12677
10.1088/2053-1591/ab4960
10.1016/j.dental.2005.01.006
10.1016/j.jmau.2014.07.001
10.1016/j.engfracmech.2019.106528
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Keywords Bending with torsion
Aluminium alloy
Fractal dimension
Steel
Fractography
Language English
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References Slámečka, Ponížil, Pokluda (b0255) 2007; 462
Stemp, Macdonald, Gleason (b0125) 2019; 24
H. Achtelik, C.T. Lachowicz, T. “Lagoda, E. Macha, Fatigue characteristics of the notched specimens of 10HNAP steel under cyclic and random synchronous bending with torsion, Proc. 2nd Annu. Fatigue Meet. Copernicus Contract CIPA CT940194, Metz-France, 30-31.08.1996. (1997) 176–191.
Quinn (b0155) 2007
Macek, Łagoda, Mucha (b0285) 2018; 41
CARPINTERI, SPAGNOLI, VANTADORI (b0280) 2002; 25
Wisner, Kontsos (b0025) 2018; 111
Macek (b0170) 2019; 105
Tang, Wang (b0220) 2012; 258
Polák, Man (b0080) 2016; 91
Fu, Wang, Chen, Pia, Li (b0230) 2019; 470
Grzesik (b0050) 2016; 25
Slámečka, Pokluda, Kianicová, Major, Dvořák (b0160) 2010; 32
Molent, Spagnoli, Carpinteri, Jones (b0035) 2017; 102
Szala, Beer-Lech, Walczak (b0005) 2017; 77
Djukic, Bakic, Sijacki Zeravcic, Sedmak, Rajicic (b0095) 2019; 216
Feng, Senin, Su, Ramasamy, Leach (b0115) 2019; 121
Branco, Costa, Berto, Razavi, Ferreira, Capela, Santos, Antunes (b0010) 2018; 8
QUINN, QUINN, KELLY, SCHERRER (b0145) 2005; 21
Akrami, Nasiri, Kulish (b0235) 2020; 7
Stępak, Dzienny, Franke, Kunicki, Gotszalk, Antończak (b0110) 2018; 436
Mower, Long (b0015) 2016; 651
Macek, Branco, Szala, Marciniak, Ulewicz, Sczygiol, Kardasz (b0240) 2020; 13
Kotowski (b0205) 2006; 141
Mandelbrot (b0180) 1982
Achtelik, Kurek, Kurek, Kluger, Pawliczek, Lagoda (b0245) 2018
MARCINIAK, ROZUMEK, MACHA (b0250) 2008; 30
Rozumek, Faszynka (b0265) 2020; 226
Issa, Issa, Islam, Chudnovsky (b0190) 2003; 70
VENKATESH, CHEN, BHOLE (b0225) 2008; 59
Sahu, Yadav, Shekhar (b0210) 2017; 6
Hilders, Zambrano (b0215) 2014; 2
Rodak, Brzezińska, Molak (b0085) 2018; 724
Townsend, Senin, Blunt, Leach, Taylor (b0130) 2016; 46
Macek (b0165) 2019; 99
Charkaluk, Bigerelle, Iost (b0195) 1998; 61
Senin, Thompson, Leach (b0120) 2017; 28
Merson, Danilov, Merson, Vinogradov (b0060) 2017; 183
Mandelbrot, Passoja, Paullay (b0185) 1984; 308
Tanaka, Kato, Fujita, Carpinteri, Shouwen, Kishi (b0275) 2020; 12
Soleimani, Mirzadeh, Dehghanian (b0090) 2019; 6
Macek, Marciniak, Branco, Rozumek, Królczyk (b0175) 2021; 178
Kobayashi, Shockey (b0030) 2001; 23
W. Kaplonek, K. Nadolny, Advanced 3D laser microscopy for measurements and analysis of vitrified bonded abrasive tools, J. Eng. Sci. Technol. (2012).
Ţălu, Matos, Pinto, Rezaee, Mardani (b0270) 2020; 21
Carpinteri, Chiaia, Cornetti (b0200) 2002; 69
Mathia, Pawlus, Wieczorowski (b0045) 2011; 271
Q. Zhong, Z. Zhao, Z. Zhang, Development of “fractography” and research of fracture micromechanism, Jixie Qiangdu/Journal Mech. Strength. (2005).
Fisher, Marquis (b0105) 2016; 22
Macek, Branco, Trembacz, Costa, Ferreira, Capela (b0140) 2020; 118
Yang, Wu, Li, Zhang, Wang (b0020) 2018; 116
FONTE, ROMEIRO, FREITAS (b0135) 2007; 29
Modrzyński, Olejniczak, Zięba, Kunicki, Tomanik, Wielebski (b0075) 2017; 131
Macek, Rozumek, Królczyk (b0070) 2020; 152
Burnett, Kelley, Winiarski, Contreras, Daly, Gholinia, Burke, Withers (b0100) 2016; 161
Walker, Lourenço, Sun, Brandt, Wang (b0040) 2017; 94
Huang, Tsai, Chang, Lin, Lee (b0150) 2005
Charkaluk (10.1016/j.measurement.2021.109910_b0195) 1998; 61
Slámečka (10.1016/j.measurement.2021.109910_b0255) 2007; 462
Grzesik (10.1016/j.measurement.2021.109910_b0050) 2016; 25
Slámečka (10.1016/j.measurement.2021.109910_b0160) 2010; 32
Tanaka (10.1016/j.measurement.2021.109910_b0275) 2020; 12
Mathia (10.1016/j.measurement.2021.109910_b0045) 2011; 271
Townsend (10.1016/j.measurement.2021.109910_b0130) 2016; 46
Polák (10.1016/j.measurement.2021.109910_b0080) 2016; 91
Fisher (10.1016/j.measurement.2021.109910_b0105) 2016; 22
Macek (10.1016/j.measurement.2021.109910_b0285) 2018; 41
Mower (10.1016/j.measurement.2021.109910_b0015) 2016; 651
Kobayashi (10.1016/j.measurement.2021.109910_b0030) 2001; 23
Macek (10.1016/j.measurement.2021.109910_b0140) 2020; 118
Quinn (10.1016/j.measurement.2021.109910_b0155) 2007
Soleimani (10.1016/j.measurement.2021.109910_b0090) 2019; 6
Macek (10.1016/j.measurement.2021.109910_b0070) 2020; 152
Akrami (10.1016/j.measurement.2021.109910_b0235) 2020; 7
Stępak (10.1016/j.measurement.2021.109910_b0110) 2018; 436
Branco (10.1016/j.measurement.2021.109910_b0010) 2018; 8
QUINN (10.1016/j.measurement.2021.109910_b0145) 2005; 21
Macek (10.1016/j.measurement.2021.109910_b0170) 2019; 105
Wisner (10.1016/j.measurement.2021.109910_b0025) 2018; 111
Huang (10.1016/j.measurement.2021.109910_b0150) 2005
CARPINTERI (10.1016/j.measurement.2021.109910_b0280) 2002; 25
MARCINIAK (10.1016/j.measurement.2021.109910_b0250) 2008; 30
Yang (10.1016/j.measurement.2021.109910_b0020) 2018; 116
Ţălu (10.1016/j.measurement.2021.109910_b0270) 2020; 21
Modrzyński (10.1016/j.measurement.2021.109910_b0075) 2017; 131
VENKATESH (10.1016/j.measurement.2021.109910_b0225) 2008; 59
Hilders (10.1016/j.measurement.2021.109910_b0215) 2014; 2
Achtelik (10.1016/j.measurement.2021.109910_b0245) 2018
Walker (10.1016/j.measurement.2021.109910_b0040) 2017; 94
Rozumek (10.1016/j.measurement.2021.109910_b0265) 2020; 226
Rodak (10.1016/j.measurement.2021.109910_b0085) 2018; 724
Kotowski (10.1016/j.measurement.2021.109910_b0205) 2006; 141
Burnett (10.1016/j.measurement.2021.109910_b0100) 2016; 161
Tang (10.1016/j.measurement.2021.109910_b0220) 2012; 258
Macek (10.1016/j.measurement.2021.109910_b0165) 2019; 99
Carpinteri (10.1016/j.measurement.2021.109910_b0200) 2002; 69
Sahu (10.1016/j.measurement.2021.109910_b0210) 2017; 6
Senin (10.1016/j.measurement.2021.109910_b0120) 2017; 28
Macek (10.1016/j.measurement.2021.109910_b0240) 2020; 13
Djukic (10.1016/j.measurement.2021.109910_b0095) 2019; 216
Molent (10.1016/j.measurement.2021.109910_b0035) 2017; 102
Macek (10.1016/j.measurement.2021.109910_b0175) 2021; 178
Issa (10.1016/j.measurement.2021.109910_b0190) 2003; 70
Fu (10.1016/j.measurement.2021.109910_b0230) 2019; 470
10.1016/j.measurement.2021.109910_b0055
Szala (10.1016/j.measurement.2021.109910_b0005) 2017; 77
10.1016/j.measurement.2021.109910_b0260
Merson (10.1016/j.measurement.2021.109910_b0060) 2017; 183
10.1016/j.measurement.2021.109910_b0065
FONTE (10.1016/j.measurement.2021.109910_b0135) 2007; 29
Mandelbrot (10.1016/j.measurement.2021.109910_b0180) 1982
Mandelbrot (10.1016/j.measurement.2021.109910_b0185) 1984; 308
Feng (10.1016/j.measurement.2021.109910_b0115) 2019; 121
Stemp (10.1016/j.measurement.2021.109910_b0125) 2019; 24
References_xml – volume: 12
  start-page: 143
  year: 2020
  end-page: 162
  ident: b0275
  article-title: Review of fractal analysis of fracture surfaces in various materials using three-dimensional images reconstructed by stereo matching method, Strength
  publication-title: Fract. Complex.
– volume: 29
  start-page: 1971
  year: 2007
  end-page: 1977
  ident: b0135
  article-title: Environment effects and surface roughness on fatigue crack growth at negative R-ratios
  publication-title: Int. J. Fatigue
– volume: 41
  start-page: 249
  year: 2018
  end-page: 259
  ident: b0285
  article-title: Energy-based fatigue failure characteristics of materials under random bending loading in elastic-plastic range
  publication-title: Fatigue Fract. Eng. Mater. Struct.
– volume: 258
  start-page: 4777
  year: 2012
  end-page: 4781
  ident: b0220
  article-title: Fractal characterization of impact fracture surface of steel
  publication-title: Appl. Surf. Sci.
– volume: 77
  start-page: 31
  year: 2017
  end-page: 38
  ident: b0005
  article-title: A study on the corrosion of stainless steel floor drains in an indoor swimming pool
  publication-title: Eng. Fail. Anal.
– volume: 161
  start-page: 119
  year: 2016
  end-page: 129
  ident: b0100
  article-title: Large volume serial section tomography by Xe Plasma FIB dual beam microscopy
  publication-title: Ultramicroscopy
– volume: 141
  start-page: 269
  year: 2006
  end-page: 286
  ident: b0205
  article-title: Fractal dimension of metallic fracture surface
  publication-title: Int. J. Fract.
– volume: 21
  start-page: 100650
  year: 2020
  ident: b0270
  article-title: Stereometric and fractal analysis of sputtered Ag-Cu thin films
  publication-title: Surf. & Interfaces
– volume: 111
  start-page: 33
  year: 2018
  end-page: 43
  ident: b0025
  article-title: Investigation of particle fracture during fatigue of aluminum 2024
  publication-title: Int. J. Fatigue.
– reference: Q. Zhong, Z. Zhao, Z. Zhang, Development of “fractography” and research of fracture micromechanism, Jixie Qiangdu/Journal Mech. Strength. (2005).
– volume: 6
  start-page: 598
  year: 2017
  end-page: 609
  ident: b0210
  article-title: Fractal Analysis as Applied to Fractography in Ferritic Stainless Steel
  publication-title: Metallogr. Microstruct. Anal.
– volume: 99
  start-page: 97
  year: 2019
  end-page: 107
  ident: b0165
  article-title: Fractal analysis of the bending-torsion fatigue fracture of aluminium alloy
  publication-title: Eng. Fail. Anal.
– volume: 121
  start-page: 261
  year: 2019
  end-page: 270
  ident: b0115
  article-title: Optical measurement of surface topographies with transparent coatings
  publication-title: Opt. Lasers Eng.
– volume: 178
  start-page: 109443
  year: 2021
  ident: b0175
  article-title: A fractographic study exploring the fracture surface topography of S355J2 steel after pseudo-random bending-torsion fatigue tests
  publication-title: Measurement
– volume: 2
  start-page: 236
  year: 2014
  ident: b0215
  article-title: The effect of aging on impact toughness and fracture surface fractal dimension in SAF 2507 super duplex stainless steel
  publication-title: J. Microsc. Ultrastruct.
– year: 2007
  ident: b0155
  article-title: NIST recommended practice guide : Gaithersburg
  publication-title: MD
– year: 1982
  ident: b0180
  article-title: The Fractal Geometry of Nature
– volume: 70
  start-page: 125
  year: 2003
  end-page: 137
  ident: b0190
  article-title: Fractal dimension-a measure of fracture roughness and toughness of concrete
  publication-title: Eng. Fract. Mech.
– volume: 8
  start-page: 32
  year: 2018
  ident: b0010
  article-title: Low-cycle fatigue behaviour of AISI 18Ni300 maraging steel produced by selective laser melting
  publication-title: Metals (Basel).
– volume: 470
  start-page: 870
  year: 2019
  end-page: 881
  ident: b0230
  article-title: Fractal and multifractal analysis of fracture surfaces caused by hydrogen embrittlement in high-Mn twinning/transformation-induced plasticity steels
  publication-title: Appl. Surf. Sci.
– volume: 94
  start-page: 288
  year: 2017
  end-page: 301
  ident: b0040
  article-title: Quantitative fractography and modelling of fatigue crack propagation in high strength AerMet®100 steel repaired with a laser cladding process
  publication-title: Int. J. Fatigue.
– volume: 226
  start-page: 106896
  year: 2020
  ident: b0265
  article-title: Surface cracks growth in aluminum alloy AW-2017A-T4 under combined loadings
  publication-title: Eng. Fract. Mech.
– volume: 25
  start-page: 619
  year: 2002
  end-page: 627
  ident: b0280
  article-title: An approach to size effect in fatigue of metals using fractal theories
  publication-title: Fatigue Fract. Eng. Mater. Struct.
– volume: 6
  start-page: 1165f2
  year: 2019
  ident: b0090
  article-title: Phase transformation mechanism and kinetics during step quenching of st37 low carbon steel
  publication-title: Mater. Res. Express.
– volume: 183
  start-page: 147
  year: 2017
  end-page: 158
  ident: b0060
  article-title: Confocal laser scanning microscopy: The technique for quantitative fractographic analysis
  publication-title: Eng. Fract. Mech.
– volume: 216
  start-page: 106528
  year: 2019
  ident: b0095
  article-title: The synergistic action and interplay of hydrogen embrittlement mechanisms in steels and iron: Localized plasticity and decohesion
  publication-title: Eng. Fract. Mech.
– volume: 46
  start-page: 34
  year: 2016
  end-page: 47
  ident: b0130
  article-title: Surface texture metrology for metal additive manufacturing: a review
  publication-title: Precis. Eng.
– volume: 724
  start-page: 112
  year: 2018
  end-page: 120
  ident: b0085
  article-title: Compression with oscillatory torsion applied after solution treatment and aging treatment of CuCr0.6 alloy for grain refinement: Microstructure, mechanical and electrical properties
  publication-title: Mater. Sci. Eng. A.
– volume: 7
  start-page: 100118
  year: 2020
  ident: b0235
  article-title: Fractal dimension analysis of Mg2Si particles of Al–15%Mg2Si composite and its relationships to mechanical properties
  publication-title: Results Mater.
– volume: 13
  start-page: 3691
  year: 2020
  ident: b0240
  article-title: Profile and Areal Surface Parameters for Fatigue Fracture Characterisation
  publication-title: Materials (Basel)
– volume: 118
  start-page: 104784
  year: 2020
  ident: b0140
  article-title: Effect of multiaxial bending-torsion loading on fracture surface parameters in high-strength steels processed by conventional and additive manufacturing
  publication-title: Eng. Fail. Anal.
– volume: 21
  start-page: 920
  year: 2005
  end-page: 929
  ident: b0145
  article-title: Fractographic analyses of three ceramic whole crown restoration failures
  publication-title: Dent. Mater.
– volume: 30
  start-page: 800
  year: 2008
  end-page: 813
  ident: b0250
  article-title: Fatigue lives of 18G2A and 10HNAP steels under variable amplitude and random non-proportional bending with torsion loading
  publication-title: Int. J. Fatigue
– reference: W. Kaplonek, K. Nadolny, Advanced 3D laser microscopy for measurements and analysis of vitrified bonded abrasive tools, J. Eng. Sci. Technol. (2012).
– volume: 28
  start-page: 095003
  year: 2017
  ident: b0120
  article-title: Characterisation of the topography of metal additive surface features with different measurement technologies
  publication-title: Meas. Sci. Technol.
– volume: 24
  start-page: 513
  year: 2019
  end-page: 525
  ident: b0125
  article-title: Testing imaging confocal microscopy, laser scanning confocal microscopy, and focus variation microscopy for microscale measurement of edge cross-sections and calculation of edge curvature on stone tools: Preliminary results
  publication-title: J. Archaeol. Sci. Rep.
– volume: 651
  start-page: 198
  year: 2016
  end-page: 213
  ident: b0015
  article-title: Mechanical behavior of additive manufactured, powder-bed laser-fused materials
  publication-title: Mater. Sci. Eng. A.
– volume: 436
  start-page: 682
  year: 2018
  end-page: 689
  ident: b0110
  article-title: Femtosecond laser-induced ripple patterns for homogenous nanostructuring of pyrolytic carbon heart valve implant
  publication-title: Appl. Surf. Sci.
– volume: 69
  start-page: 207
  year: 2002
  end-page: 217
  ident: b0200
  article-title: A scale-invariant cohesive crack model for quasi-brittle materials
  publication-title: Eng. Fract. Mech.
– volume: 152
  start-page: 107347
  year: 2020
  ident: b0070
  article-title: Surface topography analysis based on fatigue fractures obtained with bending of the 2017A–T4 alloy
  publication-title: Meas. J. Int. Meas. Confed.
– volume: 462
  start-page: 359
  year: 2007
  end-page: 362
  ident: b0255
  article-title: Quantitative fractography in bending-torsion fatigue
  publication-title: Mater. Sci. Eng. A
– volume: 91
  start-page: 294
  year: 2016
  end-page: 303
  ident: b0080
  article-title: Experimental evidence and physical models of fatigue crack initiation
  publication-title: Int. J. Fatigue.
– volume: 308
  start-page: 721
  year: 1984
  end-page: 722
  ident: b0185
  article-title: Fractal character of fracture surfaces of metals
  publication-title: Nature.
– volume: 271
  start-page: 494
  year: 2011
  end-page: 508
  ident: b0045
  article-title: Recent trends in surface metrology
  publication-title: Wear.
– volume: 131
  start-page: 1565
  year: 2017
  end-page: 1569
  ident: b0075
  article-title: The influence of sub-wavelength effective refractive index layer on the transmittance of LYSO scintillatory
  publication-title: Acta Phys. Pol. A.
– volume: 22
  start-page: 692
  year: 2016
  end-page: 693
  ident: b0105
  article-title: Comparing Plasma-FIB and Ga-FIB Preparation of Atom Probe Tomography Samples
  publication-title: Microsc. Microanal.
– volume: 105
  start-page: 1154
  year: 2019
  end-page: 1171
  ident: b0170
  article-title: Post-failure fracture surface analysis of notched steel specimens after bending-torsion fatigue
  publication-title: Eng. Fail. Anal.
– year: 2018
  ident: b0245
  article-title: Non-standard fatigue stands for material testing under bending and torsion loadings
  publication-title: AIP Conf. Proc.
– volume: 59
  start-page: 391
  year: 2008
  end-page: 394
  ident: b0225
  article-title: Three-dimensional fractal analysis of fracture surfaces in a titanium alloy for biomedical applications
  publication-title: Scr. Mater.
– volume: 61
  start-page: 119
  year: 1998
  end-page: 139
  ident: b0195
  article-title: Fractals and fracture
  publication-title: Eng. Fract. Mech.
– volume: 23
  start-page: 135
  year: 2001
  end-page: 142
  ident: b0030
  article-title: The relationship between fracture surface roughness and fatigue load parameters
  publication-title: Int. J. Fatigue.
– volume: 25
  start-page: 4460
  year: 2016
  end-page: 4468
  ident: b0050
  article-title: Prediction of the Functional Performance of Machined Components Based on Surface Topography: State of the Art
  publication-title: J. Mater. Eng. Perform.
– volume: 116
  start-page: 118
  year: 2018
  end-page: 127
  ident: b0020
  article-title: Effects of cold working and corrosion on fatigue properties and fracture behaviors of precipitate strengthened Cu-Ni-Si alloy
  publication-title: Int. J. Fatigue.
– volume: 102
  start-page: 214
  year: 2017
  end-page: 220
  ident: b0035
  article-title: Using the lead crack concept and fractal geometry for fatigue lifing of metallic structural components
  publication-title: Int. J. Fatigue.
– year: 2005
  ident: b0150
  article-title: Evaluation of loading conditions on fatigue-failed implants by fracture surface analysis
  publication-title: Int. J. Oral Maxillofac. Implants
– volume: 32
  start-page: 921
  year: 2010
  end-page: 928
  ident: b0160
  article-title: Quantitative fractography of fish-eye crack formation under bending-torsion fatigue
  publication-title: Int. J. Fatigue
– reference: H. Achtelik, C.T. Lachowicz, T. “Lagoda, E. Macha, Fatigue characteristics of the notched specimens of 10HNAP steel under cyclic and random synchronous bending with torsion, Proc. 2nd Annu. Fatigue Meet. Copernicus Contract CIPA CT940194, Metz-France, 30-31.08.1996. (1997) 176–191.
– volume: 59
  start-page: 391
  issue: 4
  year: 2008
  ident: 10.1016/j.measurement.2021.109910_b0225
  article-title: Three-dimensional fractal analysis of fracture surfaces in a titanium alloy for biomedical applications
  publication-title: Scr. Mater.
  doi: 10.1016/j.scriptamat.2008.04.010
– volume: 308
  start-page: 721
  issue: 5961
  year: 1984
  ident: 10.1016/j.measurement.2021.109910_b0185
  article-title: Fractal character of fracture surfaces of metals
  publication-title: Nature.
  doi: 10.1038/308721a0
– volume: 70
  start-page: 125
  issue: 1
  year: 2003
  ident: 10.1016/j.measurement.2021.109910_b0190
  article-title: Fractal dimension-a measure of fracture roughness and toughness of concrete
  publication-title: Eng. Fract. Mech.
  doi: 10.1016/S0013-7944(02)00019-X
– year: 1982
  ident: 10.1016/j.measurement.2021.109910_b0180
– volume: 8
  start-page: 32
  issue: 1
  year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0010
  article-title: Low-cycle fatigue behaviour of AISI 18Ni300 maraging steel produced by selective laser melting
  publication-title: Metals (Basel).
  doi: 10.3390/met8010032
– volume: 24
  start-page: 513
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0125
  article-title: Testing imaging confocal microscopy, laser scanning confocal microscopy, and focus variation microscopy for microscale measurement of edge cross-sections and calculation of edge curvature on stone tools: Preliminary results
  publication-title: J. Archaeol. Sci. Rep.
– volume: 91
  start-page: 294
  year: 2016
  ident: 10.1016/j.measurement.2021.109910_b0080
  article-title: Experimental evidence and physical models of fatigue crack initiation
  publication-title: Int. J. Fatigue.
  doi: 10.1016/j.ijfatigue.2016.02.021
– volume: 651
  start-page: 198
  year: 2016
  ident: 10.1016/j.measurement.2021.109910_b0015
  article-title: Mechanical behavior of additive manufactured, powder-bed laser-fused materials
  publication-title: Mater. Sci. Eng. A.
  doi: 10.1016/j.msea.2015.10.068
– volume: 23
  start-page: 135
  year: 2001
  ident: 10.1016/j.measurement.2021.109910_b0030
  article-title: The relationship between fracture surface roughness and fatigue load parameters
  publication-title: Int. J. Fatigue.
  doi: 10.1016/S0142-1123(01)00149-9
– volume: 28
  start-page: 095003
  issue: 9
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0120
  article-title: Characterisation of the topography of metal additive surface features with different measurement technologies
  publication-title: Meas. Sci. Technol.
  doi: 10.1088/1361-6501/aa7ce2
– volume: 7
  start-page: 100118
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0235
  article-title: Fractal dimension analysis of Mg2Si particles of Al–15%Mg2Si composite and its relationships to mechanical properties
  publication-title: Results Mater.
  doi: 10.1016/j.rinma.2020.100118
– volume: 13
  start-page: 3691
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0240
  article-title: Profile and Areal Surface Parameters for Fatigue Fracture Characterisation
  publication-title: Materials (Basel)
  doi: 10.3390/ma13173691
– volume: 12
  start-page: 143
  issue: 2-4
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0275
  article-title: Review of fractal analysis of fracture surfaces in various materials using three-dimensional images reconstructed by stereo matching method, Strength
  publication-title: Fract. Complex.
– ident: 10.1016/j.measurement.2021.109910_b0260
– volume: 111
  start-page: 33
  year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0025
  article-title: Investigation of particle fracture during fatigue of aluminum 2024
  publication-title: Int. J. Fatigue.
  doi: 10.1016/j.ijfatigue.2018.02.001
– volume: 94
  start-page: 288
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0040
  article-title: Quantitative fractography and modelling of fatigue crack propagation in high strength AerMet®100 steel repaired with a laser cladding process
  publication-title: Int. J. Fatigue.
  doi: 10.1016/j.ijfatigue.2016.06.031
– volume: 271
  start-page: 494
  issue: 3-4
  year: 2011
  ident: 10.1016/j.measurement.2021.109910_b0045
  article-title: Recent trends in surface metrology
  publication-title: Wear.
  doi: 10.1016/j.wear.2010.06.001
– volume: 258
  start-page: 4777
  issue: 10
  year: 2012
  ident: 10.1016/j.measurement.2021.109910_b0220
  article-title: Fractal characterization of impact fracture surface of steel
  publication-title: Appl. Surf. Sci.
  doi: 10.1016/j.apsusc.2012.01.091
– volume: 46
  start-page: 34
  year: 2016
  ident: 10.1016/j.measurement.2021.109910_b0130
  article-title: Surface texture metrology for metal additive manufacturing: a review
  publication-title: Precis. Eng.
  doi: 10.1016/j.precisioneng.2016.06.001
– volume: 183
  start-page: 147
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0060
  article-title: Confocal laser scanning microscopy: The technique for quantitative fractographic analysis
  publication-title: Eng. Fract. Mech.
  doi: 10.1016/j.engfracmech.2017.04.026
– volume: 152
  start-page: 107347
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0070
  article-title: Surface topography analysis based on fatigue fractures obtained with bending of the 2017A–T4 alloy
  publication-title: Meas. J. Int. Meas. Confed.
  doi: 10.1016/j.measurement.2019.107347
– volume: 69
  start-page: 207
  issue: 2
  year: 2002
  ident: 10.1016/j.measurement.2021.109910_b0200
  article-title: A scale-invariant cohesive crack model for quasi-brittle materials
  publication-title: Eng. Fract. Mech.
  doi: 10.1016/S0013-7944(01)00085-6
– volume: 462
  start-page: 359
  issue: 1-2
  year: 2007
  ident: 10.1016/j.measurement.2021.109910_b0255
  article-title: Quantitative fractography in bending-torsion fatigue
  publication-title: Mater. Sci. Eng. A
  doi: 10.1016/j.msea.2006.03.153
– volume: 141
  start-page: 269
  issue: 1-2
  year: 2006
  ident: 10.1016/j.measurement.2021.109910_b0205
  article-title: Fractal dimension of metallic fracture surface
  publication-title: Int. J. Fract.
  doi: 10.1007/s10704-006-8264-x
– year: 2007
  ident: 10.1016/j.measurement.2021.109910_b0155
  article-title: NIST recommended practice guide : Gaithersburg
  publication-title: MD
– volume: 29
  start-page: 1971
  issue: 9-11
  year: 2007
  ident: 10.1016/j.measurement.2021.109910_b0135
  article-title: Environment effects and surface roughness on fatigue crack growth at negative R-ratios
  publication-title: Int. J. Fatigue
  doi: 10.1016/j.ijfatigue.2007.02.027
– volume: 61
  start-page: 119
  issue: 1
  year: 1998
  ident: 10.1016/j.measurement.2021.109910_b0195
  article-title: Fractals and fracture
  publication-title: Eng. Fract. Mech.
  doi: 10.1016/S0013-7944(98)00035-6
– volume: 105
  start-page: 1154
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0170
  article-title: Post-failure fracture surface analysis of notched steel specimens after bending-torsion fatigue
  publication-title: Eng. Fail. Anal.
  doi: 10.1016/j.engfailanal.2019.07.056
– volume: 121
  start-page: 261
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0115
  article-title: Optical measurement of surface topographies with transparent coatings
  publication-title: Opt. Lasers Eng.
  doi: 10.1016/j.optlaseng.2019.04.018
– volume: 178
  start-page: 109443
  year: 2021
  ident: 10.1016/j.measurement.2021.109910_b0175
  article-title: A fractographic study exploring the fracture surface topography of S355J2 steel after pseudo-random bending-torsion fatigue tests
  publication-title: Measurement
  doi: 10.1016/j.measurement.2021.109443
– volume: 22
  start-page: 692
  issue: S3
  year: 2016
  ident: 10.1016/j.measurement.2021.109910_b0105
  article-title: Comparing Plasma-FIB and Ga-FIB Preparation of Atom Probe Tomography Samples
  publication-title: Microsc. Microanal.
  doi: 10.1017/S1431927616004311
– volume: 724
  start-page: 112
  year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0085
  article-title: Compression with oscillatory torsion applied after solution treatment and aging treatment of CuCr0.6 alloy for grain refinement: Microstructure, mechanical and electrical properties
  publication-title: Mater. Sci. Eng. A.
  doi: 10.1016/j.msea.2018.03.077
– volume: 436
  start-page: 682
  year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0110
  article-title: Femtosecond laser-induced ripple patterns for homogenous nanostructuring of pyrolytic carbon heart valve implant
  publication-title: Appl. Surf. Sci.
  doi: 10.1016/j.apsusc.2017.12.016
– volume: 25
  start-page: 4460
  issue: 10
  year: 2016
  ident: 10.1016/j.measurement.2021.109910_b0050
  article-title: Prediction of the Functional Performance of Machined Components Based on Surface Topography: State of the Art
  publication-title: J. Mater. Eng. Perform.
  doi: 10.1007/s11665-016-2293-z
– volume: 161
  start-page: 119
  year: 2016
  ident: 10.1016/j.measurement.2021.109910_b0100
  article-title: Large volume serial section tomography by Xe Plasma FIB dual beam microscopy
  publication-title: Ultramicroscopy
  doi: 10.1016/j.ultramic.2015.11.001
– year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0245
  article-title: Non-standard fatigue stands for material testing under bending and torsion loadings
  publication-title: AIP Conf. Proc.
  doi: 10.1063/1.5066463
– year: 2005
  ident: 10.1016/j.measurement.2021.109910_b0150
  article-title: Evaluation of loading conditions on fatigue-failed implants by fracture surface analysis
  publication-title: Int. J. Oral Maxillofac. Implants
– volume: 116
  start-page: 118
  year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0020
  article-title: Effects of cold working and corrosion on fatigue properties and fracture behaviors of precipitate strengthened Cu-Ni-Si alloy
  publication-title: Int. J. Fatigue.
  doi: 10.1016/j.ijfatigue.2018.06.017
– volume: 226
  start-page: 106896
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0265
  article-title: Surface cracks growth in aluminum alloy AW-2017A-T4 under combined loadings
  publication-title: Eng. Fract. Mech.
  doi: 10.1016/j.engfracmech.2020.106896
– volume: 30
  start-page: 800
  issue: 5
  year: 2008
  ident: 10.1016/j.measurement.2021.109910_b0250
  article-title: Fatigue lives of 18G2A and 10HNAP steels under variable amplitude and random non-proportional bending with torsion loading
  publication-title: Int. J. Fatigue
  doi: 10.1016/j.ijfatigue.2007.07.001
– volume: 25
  start-page: 619
  issue: 7
  year: 2002
  ident: 10.1016/j.measurement.2021.109910_b0280
  article-title: An approach to size effect in fatigue of metals using fractal theories
  publication-title: Fatigue Fract. Eng. Mater. Struct.
  doi: 10.1046/j.1460-2695.2002.00506.x
– volume: 118
  start-page: 104784
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0140
  article-title: Effect of multiaxial bending-torsion loading on fracture surface parameters in high-strength steels processed by conventional and additive manufacturing
  publication-title: Eng. Fail. Anal.
  doi: 10.1016/j.engfailanal.2020.104784
– volume: 32
  start-page: 921
  issue: 6
  year: 2010
  ident: 10.1016/j.measurement.2021.109910_b0160
  article-title: Quantitative fractography of fish-eye crack formation under bending-torsion fatigue
  publication-title: Int. J. Fatigue
  doi: 10.1016/j.ijfatigue.2009.07.009
– volume: 21
  start-page: 100650
  year: 2020
  ident: 10.1016/j.measurement.2021.109910_b0270
  article-title: Stereometric and fractal analysis of sputtered Ag-Cu thin films
  publication-title: Surf. & Interfaces
  doi: 10.1016/j.surfin.2020.100650
– ident: 10.1016/j.measurement.2021.109910_b0065
– volume: 6
  start-page: 598
  issue: 6
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0210
  article-title: Fractal Analysis as Applied to Fractography in Ferritic Stainless Steel
  publication-title: Metallogr. Microstruct. Anal.
  doi: 10.1007/s13632-017-0396-z
– volume: 131
  start-page: 1565
  issue: 6
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0075
  article-title: The influence of sub-wavelength effective refractive index layer on the transmittance of LYSO scintillatory
  publication-title: Acta Phys. Pol. A.
  doi: 10.12693/APhysPolA.131.1565
– volume: 470
  start-page: 870
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0230
  article-title: Fractal and multifractal analysis of fracture surfaces caused by hydrogen embrittlement in high-Mn twinning/transformation-induced plasticity steels
  publication-title: Appl. Surf. Sci.
  doi: 10.1016/j.apsusc.2018.11.179
– volume: 77
  start-page: 31
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0005
  article-title: A study on the corrosion of stainless steel floor drains in an indoor swimming pool
  publication-title: Eng. Fail. Anal.
  doi: 10.1016/j.engfailanal.2017.02.014
– volume: 102
  start-page: 214
  year: 2017
  ident: 10.1016/j.measurement.2021.109910_b0035
  article-title: Using the lead crack concept and fractal geometry for fatigue lifing of metallic structural components
  publication-title: Int. J. Fatigue.
  doi: 10.1016/j.ijfatigue.2017.04.001
– volume: 99
  start-page: 97
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0165
  article-title: Fractal analysis of the bending-torsion fatigue fracture of aluminium alloy
  publication-title: Eng. Fail. Anal.
  doi: 10.1016/j.engfailanal.2019.02.007
– volume: 41
  start-page: 249
  issue: 2
  year: 2018
  ident: 10.1016/j.measurement.2021.109910_b0285
  article-title: Energy-based fatigue failure characteristics of materials under random bending loading in elastic-plastic range
  publication-title: Fatigue Fract. Eng. Mater. Struct.
  doi: 10.1111/ffe.12677
– volume: 6
  start-page: 1165f2
  issue: 11
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0090
  article-title: Phase transformation mechanism and kinetics during step quenching of st37 low carbon steel
  publication-title: Mater. Res. Express.
  doi: 10.1088/2053-1591/ab4960
– ident: 10.1016/j.measurement.2021.109910_b0055
– volume: 21
  start-page: 920
  issue: 10
  year: 2005
  ident: 10.1016/j.measurement.2021.109910_b0145
  article-title: Fractographic analyses of three ceramic whole crown restoration failures
  publication-title: Dent. Mater.
  doi: 10.1016/j.dental.2005.01.006
– volume: 2
  start-page: 236
  issue: 4
  year: 2014
  ident: 10.1016/j.measurement.2021.109910_b0215
  article-title: The effect of aging on impact toughness and fracture surface fractal dimension in SAF 2507 super duplex stainless steel
  publication-title: J. Microsc. Ultrastruct.
  doi: 10.1016/j.jmau.2014.07.001
– volume: 216
  start-page: 106528
  year: 2019
  ident: 10.1016/j.measurement.2021.109910_b0095
  article-title: The synergistic action and interplay of hydrogen embrittlement mechanisms in steels and iron: Localized plasticity and decohesion
  publication-title: Eng. Fract. Mech.
  doi: 10.1016/j.engfracmech.2019.106528
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Snippet •Fractal dimension for fatigued samples of aluminium and steel alloys was investigated.•Correlation between fractal dimension and loading type was studied via...
Fracture surfaces after biaxial fatigue tests were compared using fractal dimension for three types of metallic materials in smooth and notched specimens made...
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SubjectTerms Aluminium alloy
Aluminum base alloys
Bending fatigue
Bending with torsion
Crack propagation
Cyclic loads
Fatigue failure
Fatigue tests
Fractal dimension
Fractal geometry
Fractals
Fractography
Fracture surfaces
Fractures
Materials fatigue
Metals
Profilometers
Steel
Title Fractal dimension for bending–torsion fatigue fracture characterisation
URI https://dx.doi.org/10.1016/j.measurement.2021.109910
https://www.proquest.com/docview/2583594708
Volume 184
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