Arbitrary Crack Depth Profiling Through ACFM Data Using Type-2 Fuzzy Logic and PSO Algorithm

Estimating the shape and depth of cracks presented in metallic structures is one of the main issues of non-destructive testing (NDT) in order to evaluate effectively the structural integrity of a component. The alternating current field measurement (ACFM) technique is one of the most frequently used...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on magnetics Vol. 55; no. 2; pp. 1 - 10
Main Authors Ahmadkhah, Saeed M., Hasanzadeh, Reza P. R., Papaelias, Mayorkinos
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Online AccessGet full text
ISSN0018-9464
1941-0069
DOI10.1109/TMAG.2018.2884828

Cover

Abstract Estimating the shape and depth of cracks presented in metallic structures is one of the main issues of non-destructive testing (NDT) in order to evaluate effectively the structural integrity of a component. The alternating current field measurement (ACFM) technique is one of the most frequently used electromagnetic methods in this regard. Given the experimental nature of NDT methods, fuzzy logic-based methodologies have been widely used for solving the inverse problem. Due to some experimental restrictions, the obtained ACFM signals do not have high certainty. This problem usually leads to a high uncertainty of classical fuzzy rules extracted from low-accuracy ACFM signals. Therefore, applying classical fuzzy membership functions (MFs) exactly with maximum and fixed certainty does not lead to the best crack depth estimation. In this paper, a type-2 fuzzy logic system has been proposed to model the existing uncertainties of ACFM signals with a higher accuracy. Moreover, for regulating the uncertainty parameters of type-2 fuzzy MFs in the proposed model, the particle swarm optimization (PSO) algorithm has been used. Combining PSO with some special features existed in the ACFM signals allows the proposed model to be able to control the certainty of the extracted rules for estimating the exact depth of cracks. Then, the results of the proposed method are compared with the other state-of-the-art techniques for different levels of noise and different crack shapes obtained through simulated and empirical ACFM data. The results show the superiority of the proposed method even in conditions where the training database volume is not adequate.
AbstractList Estimating the shape and depth of cracks presented in metallic structures is one of the main issues of non-destructive testing (NDT) in order to evaluate effectively the structural integrity of a component. The alternating current field measurement (ACFM) technique is one of the most frequently used electromagnetic methods in this regard. Given the experimental nature of NDT methods, fuzzy logic-based methodologies have been widely used for solving the inverse problem. Due to some experimental restrictions, the obtained ACFM signals do not have high certainty. This problem usually leads to a high uncertainty of classical fuzzy rules extracted from low-accuracy ACFM signals. Therefore, applying classical fuzzy membership functions (MFs) exactly with maximum and fixed certainty does not lead to the best crack depth estimation. In this paper, a type-2 fuzzy logic system has been proposed to model the existing uncertainties of ACFM signals with a higher accuracy. Moreover, for regulating the uncertainty parameters of type-2 fuzzy MFs in the proposed model, the particle swarm optimization (PSO) algorithm has been used. Combining PSO with some special features existed in the ACFM signals allows the proposed model to be able to control the certainty of the extracted rules for estimating the exact depth of cracks. Then, the results of the proposed method are compared with the other state-of-the-art techniques for different levels of noise and different crack shapes obtained through simulated and empirical ACFM data. The results show the superiority of the proposed method even in conditions where the training database volume is not adequate.
Author Ahmadkhah, Saeed M.
Hasanzadeh, Reza P. R.
Papaelias, Mayorkinos
Author_xml – sequence: 1
  givenname: Saeed M.
  surname: Ahmadkhah
  fullname: Ahmadkhah, Saeed M.
  organization: Department of Electrical Engineering, University of Guilan, Rasht, Iran
– sequence: 2
  givenname: Reza P. R.
  orcidid: 0000-0002-6431-758X
  surname: Hasanzadeh
  fullname: Hasanzadeh, Reza P. R.
  email: hasanzadehpak@guilan.ac.ir
  organization: Department of Electrical Engineering, University of Guilan, Rasht, Iran
– sequence: 3
  givenname: Mayorkinos
  orcidid: 0000-0003-2140-5923
  surname: Papaelias
  fullname: Papaelias, Mayorkinos
  organization: School of Metallurgy and Materials, University of Birmingham, Birmingham, U.K
BookMark eNp9kMFPwjAUxhujiYD-AcZLE8_Ddm239rgMQRMIJMLNZCldtxXHOrvtAH-9Q4gHD55e3nvf916-3xBcV7bSADxgNMYYief1IpqNfYT52Oeccp9fgQEWFHsIBeIaDFC_8gQN6C0YNs2ubynDaAA-Irc1rZPuAGMn1Sec6Lot4MrZzJSmyuG6cLbLCxjF0wWcyFbCTfMzP9Ta8-G0Ox4PcG5zo6CsUrh6X8KozK0zbbG_AzeZLBt9f6kjsJm-rONXb76cvcXR3FOEidYTLFRKEj9QiIdSckRJyJEKU4JSXzEsMc_SQEgqGWFUKEE44ilNha-kSNGWjMDT-W7t7FenmzbZ2c5V_cvEx0GfmmFMelV4Vilnm8bpLFGmla2xVZ_flAlGyQllckKZnFAmF5S9E_9x1s7se2b_eh7PHqO1_tVzJjgnjHwDfQp-8g
CODEN IEMGAQ
CitedBy_id crossref_primary_10_1109_TCSII_2023_3341043
crossref_primary_10_1016_j_energy_2023_126703
crossref_primary_10_1109_OJIM_2022_3205672
crossref_primary_10_1016_j_jmmm_2021_167756
crossref_primary_10_1109_JSEN_2024_3520832
crossref_primary_10_1109_TIM_2021_3108521
crossref_primary_10_1016_j_ymssp_2021_107878
crossref_primary_10_1109_JSEN_2021_3106326
crossref_primary_10_1016_j_oceaneng_2024_118294
crossref_primary_10_1109_TIE_2022_3206746
Cites_doi 10.1007/978-1-4684-5772-8_74
10.3390/a10030077
10.1109/TIM.2008.919011
10.1109/TMAG.2017.2701314
10.1016/j.ndteint.2008.12.008
10.1109/TMAG.2011.2160726
10.1016/j.ins.2012.04.003
10.1016/j.ndteint.2018.04.007
10.1109/TIM.2013.2292326
10.1108/eb036896
10.1109/TMAG.2016.2642887
10.1016/j.ndteint.2012.11.003
10.2118/35033-PA
10.1109/TFUZZ.2008.924329
10.1109/TMAG.2008.923393
10.1109/JSEN.2013.2248931
10.1016/j.ins.2016.03.026
10.1109/TMAG.2013.2254718
10.1098/rspa.1991.0115
10.1109/TIM.2012.2236729
10.1109/TMAG.2014.2349939
10.1007/s00500-010-0588-9
10.1109/91.873577
10.1109/TIM.2011.2117170
10.1109/CEC.2001.934374
10.1109/TMAG.2011.2105883
10.14736/kyb-2018-1-0175
10.1049/iet-smt:20070005
10.1016/j.ndteint.2010.09.009
10.1109/TMAG.2004.824116
10.1109/TMAG.2011.2172679
10.1016/S0308-0161(02)00088-1
10.1016/j.ndteint.2011.05.004
10.1109/TMAG.2011.2172196
10.1016/j.ndteint.2003.12.002
10.1007/BF00566953
10.1016/j.eswa.2015.01.036
10.1109/TFUZZ.2016.2637934
10.1109/TMAG.2011.2146265
10.1016/j.ndteint.2016.01.003
10.1016/j.ndteint.2006.10.003
10.1109/TMAG.2009.2037008
10.1109/TFUZZ.2010.2062525
10.1109/TMAG.2015.2498119
ContentType Journal Article
Copyright Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2019
Copyright_xml – notice: Copyright The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 2019
DBID 97E
RIA
RIE
AAYXX
CITATION
7SP
7U5
8BQ
8FD
JG9
L7M
DOI 10.1109/TMAG.2018.2884828
DatabaseName IEEE All-Society Periodicals Package (ASPP) 2005–Present
IEEE All-Society Periodicals Package (ASPP) 1998–Present
IEEE Electronic Library (IEL)
CrossRef
Electronics & Communications Abstracts
Solid State and Superconductivity Abstracts
METADEX
Technology Research Database
Materials Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Materials Research Database
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
METADEX
Electronics & Communications Abstracts
DatabaseTitleList Materials Research Database

Database_xml – sequence: 1
  dbid: RIE
  name: IEEE Electronic Library (IEL)
  url: https://proxy.k.utb.cz/login?url=https://ieeexplore.ieee.org/
  sourceTypes: Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
Physics
EISSN 1941-0069
EndPage 10
ExternalDocumentID 10_1109_TMAG_2018_2884828
8598835
Genre orig-research
GroupedDBID -~X
0R~
29I
4.4
5GY
5VS
6IK
97E
AAJGR
AARMG
AASAJ
AAWTH
ABAZT
ABQJQ
ABVLG
ACGFO
ACGFS
ACIWK
ACNCT
AENEX
AETIX
AGQYO
AGSQL
AHBIQ
AI.
AIBXA
AKJIK
AKQYR
ALLEH
ALMA_UNASSIGNED_HOLDINGS
ASUFR
ATWAV
BEFXN
BFFAM
BGNUA
BKEBE
BPEOZ
CS3
DU5
EBS
EJD
F5P
HZ~
H~9
IAAWW
IBMZZ
ICLAB
IFIPE
IFJZH
IPLJI
JAVBF
LAI
M43
MS~
O9-
OCL
P2P
RIA
RIE
RNS
TN5
TWZ
VH1
VJK
XXG
AAYXX
CITATION
7SP
7U5
8BQ
8FD
JG9
L7M
RIG
ID FETCH-LOGICAL-c359t-957cca326c087aa8043780c7d30d2c51a18fd69a4a53549c93808d4d92ca9d0b3
IEDL.DBID RIE
ISSN 0018-9464
IngestDate Mon Jun 30 10:09:26 EDT 2025
Wed Oct 01 05:08:04 EDT 2025
Thu Apr 24 23:01:24 EDT 2025
Wed Aug 27 03:02:54 EDT 2025
IsPeerReviewed false
IsScholarly true
Issue 2
Language English
License https://ieeexplore.ieee.org/Xplorehelp/downloads/license-information/IEEE.html
https://doi.org/10.15223/policy-029
https://doi.org/10.15223/policy-037
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c359t-957cca326c087aa8043780c7d30d2c51a18fd69a4a53549c93808d4d92ca9d0b3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0003-2140-5923
0000-0002-6431-758X
PQID 2169465113
PQPubID 85461
PageCount 10
ParticipantIDs crossref_citationtrail_10_1109_TMAG_2018_2884828
crossref_primary_10_1109_TMAG_2018_2884828
proquest_journals_2169465113
ieee_primary_8598835
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2019-02-01
PublicationDateYYYYMMDD 2019-02-01
PublicationDate_xml – month: 02
  year: 2019
  text: 2019-02-01
  day: 01
PublicationDecade 2010
PublicationPlace New York
PublicationPlace_xml – name: New York
PublicationTitle IEEE transactions on magnetics
PublicationTitleAbbrev TMAG
PublicationYear 2019
Publisher IEEE
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher_xml – name: IEEE
– name: The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
References ref15
ref10
wilson (ref14) 2011; 44
ahmadkhah (ref39) 2017; 17
richard (ref1) 2016
stephens (ref2) 2001
ref17
ref16
ref19
wu (ref44) 2009; 17
ref18
sadeghi (ref6) 1990
ref48
bai (ref28) 2013; 54
ref47
ref42
ref41
ref43
papaelias (ref11) 2009; 42
ref49
zhou (ref13) 0; 13a
ref8
ref7
ref9
ref4
ref3
ref5
ref40
ref35
ref34
ref37
ref36
ref31
ref30
ref33
ref32
lugg (ref12) 2006
ref38
ontiveros-robles (ref45) 2017; 10
castillo (ref46) 2011; 15
ref24
ref23
ref26
ref25
ref20
ref22
ref21
ref27
ref29
References_xml – start-page: 593
  year: 1990
  ident: ref6
  article-title: A new technique for sizing cracks in metals, utilizing an induced surface magnetic field
  publication-title: Review of Progress in Quantitative Nondestructive Evaluation
  doi: 10.1007/978-1-4684-5772-8_74
– start-page: 27
  year: 2016
  ident: ref1
  publication-title: Fatigue Crack Growth
– volume: 10
  start-page: 77
  year: 2017
  ident: ref45
  article-title: New methodology to approximate type-reduction based on a continuous root-finding Karnik mendel algorithm
  publication-title: Algorithms
  doi: 10.3390/a10030077
– ident: ref19
  doi: 10.1109/TIM.2008.919011
– ident: ref34
  doi: 10.1109/TMAG.2017.2701314
– volume: 42
  start-page: 328
  year: 2009
  ident: ref11
  article-title: High-speed inspection of rails using ACFM techniques
  publication-title: NDT & E Int
  doi: 10.1016/j.ndteint.2008.12.008
– ident: ref27
  doi: 10.1109/TMAG.2011.2160726
– year: 2001
  ident: ref2
  publication-title: Metal Fatigue in Engineering
– ident: ref47
  doi: 10.1016/j.ins.2012.04.003
– volume: 17
  start-page: 153
  year: 2017
  ident: ref39
  article-title: Crack depth profiling in metallic structures through ACFM data using type-II fuzzy logic system
  publication-title: Modern Mechanical Engineering
– ident: ref41
  doi: 10.1016/j.ndteint.2018.04.007
– ident: ref29
  doi: 10.1109/TIM.2013.2292326
– ident: ref10
  doi: 10.1108/eb036896
– ident: ref24
  doi: 10.1109/TMAG.2016.2642887
– volume: 54
  start-page: 37
  year: 2013
  ident: ref28
  article-title: Fast crack profile reconstruction using pulsed eddy current signals
  publication-title: NDT & E Int
  doi: 10.1016/j.ndteint.2012.11.003
– ident: ref9
  doi: 10.2118/35033-PA
– volume: 17
  start-page: 923
  year: 2009
  ident: ref44
  article-title: Enhanced Karnik-Mendel algorithms
  publication-title: IEEE Trans Fuzzy Syst
  doi: 10.1109/TFUZZ.2008.924329
– ident: ref26
  doi: 10.1109/TMAG.2008.923393
– ident: ref16
  doi: 10.1109/JSEN.2013.2248931
– ident: ref38
  doi: 10.1016/j.ins.2016.03.026
– ident: ref33
  doi: 10.1109/TMAG.2013.2254718
– ident: ref4
  doi: 10.1098/rspa.1991.0115
– ident: ref30
  doi: 10.1109/TIM.2012.2236729
– volume: 13a
  start-page: 335
  year: 0
  ident: ref13
  article-title: Half-space induction by a rectangular coil with rounded corners: Local uniformity and ACFM
  publication-title: Review of Progress in Quantitative Nondestructive Evaluation
– ident: ref7
  doi: 10.1109/TMAG.2014.2349939
– volume: 15
  start-page: 1145
  year: 2011
  ident: ref46
  article-title: Optimization of interval type-2 fuzzy logic controllers using evolutionary algorithms
  publication-title: Soft Comput
  doi: 10.1007/s00500-010-0588-9
– ident: ref43
  doi: 10.1109/91.873577
– ident: ref25
  doi: 10.1109/TIM.2011.2117170
– ident: ref49
  doi: 10.1109/CEC.2001.934374
– ident: ref22
  doi: 10.1109/TMAG.2011.2105883
– ident: ref37
  doi: 10.14736/kyb-2018-1-0175
– ident: ref3
  doi: 10.1049/iet-smt:20070005
– ident: ref32
  doi: 10.1016/j.ndteint.2010.09.009
– start-page: 1
  year: 2006
  ident: ref12
  article-title: Recent developments and applications of the ACFM inspection method and ACSM stress measurement method
  publication-title: 9th Eur Conf Non-Destructive Testing (ECNDT)
– ident: ref17
  doi: 10.1109/TMAG.2004.824116
– ident: ref23
  doi: 10.1109/TMAG.2011.2172679
– ident: ref40
  doi: 10.1016/S0308-0161(02)00088-1
– volume: 44
  start-page: 505
  year: 2011
  ident: ref14
  article-title: PEC thermography for imaging multiple cracks from rolling contact fatigue
  publication-title: NDT & E Int
  doi: 10.1016/j.ndteint.2011.05.004
– ident: ref21
  doi: 10.1109/TMAG.2011.2172196
– ident: ref8
  doi: 10.1016/j.ndteint.2003.12.002
– ident: ref5
  doi: 10.1007/BF00566953
– ident: ref36
  doi: 10.1016/j.eswa.2015.01.036
– ident: ref35
  doi: 10.1109/TFUZZ.2016.2637934
– ident: ref15
  doi: 10.1109/TMAG.2011.2146265
– ident: ref42
  doi: 10.1016/j.ndteint.2016.01.003
– ident: ref31
  doi: 10.1016/j.ndteint.2006.10.003
– ident: ref18
  doi: 10.1109/TMAG.2009.2037008
– ident: ref48
  doi: 10.1109/TFUZZ.2010.2062525
– ident: ref20
  doi: 10.1109/TMAG.2015.2498119
SSID ssj0014510
Score 2.3446498
Snippet Estimating the shape and depth of cracks presented in metallic structures is one of the main issues of non-destructive testing (NDT) in order to evaluate...
SourceID proquest
crossref
ieee
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1
SubjectTerms Algorithms
Alternating current field measurement (ACFM)
Computer simulation
Cracks
Current measurement
Depth profiling
Destructive testing
Eddy currents
Estimation
Fuzzy logic
Fuzzy systems
inverse problem
Inverse problems
Magnetic separation
Magnetism
non-destructive testing (NDT)
Nondestructive testing
Parameter uncertainty
Particle swarm optimization
particle swarm optimization (PSO)
Shape
Stability
State of the art
Structural integrity
Surface cracks
type-2 fuzzy logic system (T2FLS)
Uncertainty
Title Arbitrary Crack Depth Profiling Through ACFM Data Using Type-2 Fuzzy Logic and PSO Algorithm
URI https://ieeexplore.ieee.org/document/8598835
https://www.proquest.com/docview/2169465113
Volume 55
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVIEE
  databaseName: IEEE Electronic Library (IEL)
  customDbUrl:
  eissn: 1941-0069
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0014510
  issn: 0018-9464
  databaseCode: RIE
  dateStart: 19650101
  isFulltext: true
  titleUrlDefault: https://ieeexplore.ieee.org/
  providerName: IEEE
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1NTxsxEB0BEhI9tAVakZYiHzhVbPDaXmd8XIUGVCkUiSBxqLTyVwABCQqbQ_Pra3s3EaJV1dsexitLb7ye2XkzD-CQjh0ruKQZCssyYcY2nDmnsug91nOhqYy9w8NzeXYlvl8X12twtOqF8d4n8pnvxsdUy3dTO4-_yo6xUBgihnVY76FserVWFQNR5E27SY5RNl60FcycquPRsDyNJC7sMkSBUXj9xR2URFX--BKn62XwDobLjTWskvvuvDZdu3g1s_F_d_4e3rZxJikbx9iGNT_ZgTcvpg_uwGZif9rnXfhZzsxd6r8n_Zm29-TEP9W35CLpeQdbMmrUfEjZHwzJia41SVQDErPYjJHBfLH4RaJssyV64sjF5Q9SPtxMZ3f17eMHuBp8G_XPslZ2IbO8UHWmil6ANYR1lmJPa4zTj5DanuPUMVvkOsexk0oLXfCQXVrFkaITTjGrlaOGf4SNyXTi94BIKaxVhjv0ThhUmmtDmZfChEBVM9cBugSisu1M8iiN8VCl3ISqKmJXReyqFrsOfF0teWoGcvzLeDdisTJsYejA_hLtqj2yzxXLpYrC8Dn_9PdVn2ErvFs1lO192Khnc_8lRCS1OUiu-BuzV9oL
linkProvider IEEE
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV1NbxMxEB2VIgQc-GhBBAr4wAmxqdcfG_u4SgkBuqUSqdQD0soeO7RqSap0cyC_Htu7iSpAiNsexlpLb7ye2XkzD-ANnTomeUEzJZBlwk4xnDmns-g96LkwtIi9w9VRMT4Rn07l6Ra82_TCeO8T-cz342Oq5bs5LuOvsn0ltQoRwy24LYUQsu3W2tQMhMzbhpNcReF40dUwc6r3J1X5IdK4VJ8pJVSUXr9xCyVZlT--xemCGT2Ear21lldy0V82to-r36Y2_u_eH8GDLtIkZesaj2HLz3bg_o35gztwJ_E_8XoXvpULe5468MlwYfCCHPir5owcJ0XvYEsmrZ4PKYejihyYxpBENiAxj80YGS1Xq58kCjcjMTNHjr9-IeXl9_nivDn78QRORu8nw3HWCS9kyKVuMi0HAdgQ2CFVA2NUnH-kKA4cp46hzE2upq7QRhjJQ36JmiuqnHCaodGOWv4UtmfzmX8GpCgEorbcKe-EVdpwYynzhbAhVDXM9YCugaixm0oexTEu65SdUF1H7OqIXd1h14O3myVX7UiOfxnvRiw2hh0MPdhbo113h_a6ZnmhozR8zp__fdVruDueVIf14cejzy_gXniPbgnce7DdLJb-ZYhPGvsqueUvSZfdWA
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Arbitrary+Crack+Depth+Profiling+Through+ACFM+Data+Using+Type-2+Fuzzy+Logic+and+PSO+Algorithm&rft.jtitle=IEEE+transactions+on+magnetics&rft.au=Ahmadkhah%2C+Saeed+M.&rft.au=Hasanzadeh%2C+Reza+P.+R.&rft.au=Papaelias%2C+Mayorkinos&rft.date=2019-02-01&rft.issn=0018-9464&rft.eissn=1941-0069&rft.volume=55&rft.issue=2&rft.spage=1&rft.epage=10&rft_id=info:doi/10.1109%2FTMAG.2018.2884828&rft.externalDBID=n%2Fa&rft.externalDocID=10_1109_TMAG_2018_2884828
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0018-9464&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0018-9464&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0018-9464&client=summon