Abstract
This study investigates the fracture behavior of single-edge notched tension (SENT) specimens made from API X52 vintage pipeline steel by comparing the extended finite element method (XFEM) and the traditional finite element method (FEM). Both methods are implemented in abaqus finite element software to simulate specimens with varying notch length-to-specimen-width ratios, whose fracture properties have been experimentally determined. The analysis focuses on plotting force versus global displacement, crack tip opening displacement (CTOD), and crack mouth opening displacement (CMOD) for each method. These simulation results are then compared with experimental data. A mean absolute percentage error (MAPE) calculation quantifies the level of agreement between the model and test results. The findings demonstrate that both methods can replicate the experimental force–crack opening displacement (COD) and force–displacement curves. However, XFEM offers distinct advantages, including the elimination of the need for mesh refinement, easier numerical convergence, and accurate visualization of the crack propagation path.
References
1.
Hosseini
, A.
, Cronin
, D.
, and Plumtree
, A.
, 2013
, “Crack in Corrosion Defect Assessment in Transmission Pipelines
,” ASME J. Pressure Vessel Technol.
, 135
(2
), p. 021701
.10.1115/1.40076442.
Shahzamanian
, M. M.
, Lin
, M.
, Kainat
, M.
, Yoosef-Ghodsi
, N.
, and Adeeb
, S.
, 2021
, “Systematic Literature Review of the Application of Extended Finite Element Method in Failure Prediction of Pipelines
,” J. Pipeline Sci. Eng.
, 1
(2
), pp. 241
–251
.10.1016/j.jpse.2021.02.0033.
Ahmed
, A. U.
, 2011
, “Failure Criteria for Tearing of Telescoping Wrinkles
,” Ph.D. dissertation
, University of Alberta, Edmonton, AB, Canada
.https://era.library.ualberta.ca/items/c4cdcee8-d570-4660-8d0d-8ccd54ae84ff4.
Mondal
, B. C.
, 2018
, “Remaining Strength Assessment of Deteriorating Energy Pipelines
,” Ph.D. dissertation
, Memorial University of Newfoundland
, St. John’s, NL, Canada
.https://research.library.mun.ca/13618/5.
Wang
, E.
, Zhou
, W.
, Shen
, G.
, and Duan
, D.
, 2012
, “An Experimental Study on J(CTOD)-R Curves of Single Edge Tension Specimens for X80 Steel
,” ASME
Paper No. IPC2012-90323.10.1115/IPC2012-903236.
Najari
, O. E.
, 2024
, “Fracture Behavior and Simulation of X52 Steel Pipe SENT Specimens
,” M.Sc. thesis
, University of Alberta, Edmonton, AB, Canada
.https://era.library.ualberta.ca/items/ab4e5995-3a78-4af6-8512-fda48aa759e8/view/272daf8c-6f08-4896-9ec9-c0bd300cb78d/Najari_Omid_E_202312_MSc.pdf7.
Pussegoda
, L. N.
, Tiku
, S.
, Park
, D.
, Tyson
, W. R.
, and Gianetto
, J.
, 2012
, “J-Resistance Results From Multi-Specimen and Single-Specimen Surface Notched SEN(T) geometry
,” ASME
Paper No. IPC2012-90565.10.1115/IPC2012-905658.
Kong
, L.
, Zhou
, X.
, Chen
, L.
, Huang
, K.
, and Chen
, J.
, 2019
, “Experimental Study on the Fracture Toughness of Welded Joints of API X90 High-Grade Pipeline Steels Using Single-Edge-Notched Tension Specimens
,” Arabian J. Sci. Eng.
, 44
(2
), pp. 1033
–1041
.10.1007/s13369-018-3396-79.
Weeks
, T. S.
, and Read
, D. T.
, 2015
, “Comparison of J-Integral From Single Specimen SE(T) Tests on API-5 L X100 Line Pipe Steel
,” Proceedings of the 25th International Offshore and Polar Engineering Conference
, ISOPE 2015, Waikoloa, HI
, June 21–26.https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=91806610.
Zhu
, X.
, and McGaughy
, T.
, 2014
, “A Review of Fracture Toughness Testing and Evaluation Using SENT Specimens
,” ASME
Paper No. IPC2014-33718.10.1115/IPC2014-3371811.
Sarzosa
, D. F. B.
, Savioli
, R.
, Ruggieri
, C.
, and Garmbis
, A. G.
, 2020
, “Comparison of Fracture Toughness Curves Obtained by Single and Multi-Specimen Methodologies for a Pipe Having an Undermatched Girth Weld
,” ASME
Paper No. PVP2020-21546.10.1115/PVP2020-2154612.
Lin
, M.
, Li
, Y.
, Cheng
, J. J. R.
, Koduru
, S.
, Kainat
, M.
, Zhang
, X.
, and Adeeb
, S.
, 2022
, “Novel XFEM Variable Strain Damage Model for Predicting Fracture in Small-Scale SENT and Full-Scale Pipe Tests
,” Eng. Fract. Mech.
, 271
, p. 108628
.10.1016/j.engfracmech.2022.10862813.
Comi
, C.
, and Perego
, U.
, 2004
, “Criteria for Mesh Refinement in Nonlocal Damage Finite Element Analyses
,” Eur. J. Mech. A/Solids
, 23
(4
), pp. 615
–632
.10.1016/j.euromechsol.2004.03.00614.
Kainat
, M.
, Lin
, M.
, Cheng
, J. J. R.
, Martens
, M.
, and Adeeb
, S.
, 2016
, “Effects of the Initial Geometric Imperfections on the Buckling Behavior of High-Strength UOE Manufactured Steel Pipes
,” ASME J. Pressure Vessel Technol.
, 138
(5
), p. 051206
.10.1115/1.403299015.
Roy
, S.
, Grigory
, S.
, Smith
, M.
, Kanninen
, M. F.
, and Anderson
, M.
, 1997
, “Numerical Simulations of Full-Scale Corroded Pipe Tests With Combined Loading
,” ASME J. Pressure Vessel Technol.
, 119
(4
), pp. 457
–466
.10.1115/1.284233016.
Arumugam
, T.
, Karuppanan
, S.
, and Ovinis
, M.
, 2020
, “Finite Element Analyses of Corroded Pipeline With Single Defect Subjected to Internal Pressure and Axial Compressive Stress
,” Mar. Struct.
, 72
, p. 102746
.10.1016/j.marstruc.2020.10274617.
Woo
, J.
, Kainat
, M.
, Okoloekwe
, C.
, Hassanien
, S.
, and Adeeb
, S.
, 2019
, “Integrity Analysis of Dented Pipelines Using Artificial Neural Networks
,” Pipeline Sci. Technol.
, 3
(2
), pp. 92
–104
.10.28999/2514-541X-2019-3-2-92-10418.
Chiesa
, M.
, Nyhus
, B.
, Skallerud
, B.
, and Thaulow
, C.
, 2001
, “Efficient Fracture Assessment of Pipelines. A Constraint-Corrected SENT Specimen Approach
,” Eng. Fract. Mech.
, 68
(5
), pp. 527
–547
.10.1016/S0013-7944(00)00129-619.
Soret
, C.
, Madi
, Y.
, Besson
, J.
, and Gaffard
, V.
, 2015
, “Use of the SENT Specimen in Pipeline Design
,” 20th JTM—EPRG European Pipeline Research Group
, France
, Paris
, May 3–8, p. 34
.https://minesparis-psl.hal.science/hal-01183303/file/Soret-Madi-Besson%2020th%20JTM%202015%2034%20p.pdf20.
Qiang
, B.
, and Wang
, X.
, 2019
, “Ductile Crack Growth Behaviors at Different Locations of a Weld Joint for an X80 Pipeline Steel: A Numerical Investigation Using GTN Models
,” Eng. Fract. Mech.
, 213
, pp. 264
–279
.10.1016/j.engfracmech.2019.04.00921.
Belytschko
, T.
, and Black
, T.
, 1999
, “Elastic Crack Growth in Finite Elements With Minimal Remeshing
,” Int. J. Numer. Methods Eng.
, 45
(5
), pp. 601
–620
.10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S22.
Melenk
, J. M.
, and Babuska
, I.
, 1996
, “The Partition of Unity Finite Element Method: Basic Theory and Applications
,” Seminar for Applied Mathematics, ETH Zürich, Zürich, Switzerland, Report No. 1996-01
.10.1016/S0045-7825(96)01087-023.
Khoei
, A. R.
, 2014
, Extended Finite Element Method: Theory and Applications
, Wiley
, New York
.24.
Rege
, K.
, and Lemu
, H.
, 2017
, “A Review of Fatigue Crack Propagation Modelling Techniques Using FEM and XFEM
,” IOP Conf. Ser.: Mater. Sci. Eng.
, 276
(1
), p. 012027
.10.1088/1757-899X/276/1/01202725.
Agbo
, S.
, Lin
, M.
, Ameli
, I.
, Imanpour
, A.
, Duan
, D.
, Cheng
, J. J. R.
, and Adeeb
, S.
, 2019
, “Evaluation of the Effect of Internal Pressure and Flaw Size on the Tensile Strain Capacity of X42 Vintage Pipeline Using Damage Plasticity Model in Extended Finite Element Method (XFEM)
,” ASME
Paper No. PVP2019-94005.10.1115/PVP2019-9400526.
Agbo
, S.
, Imanpour
, A.
, Li
, Y.
, Kainat
, M.
, Yoosef-Ghodsi
, N.
, Cheng
, J. J. R.
, and Adeeb
, S.
, 2020
, “Development of a Tensile Strain Capacity Predictive Model for American Petroleum Institute 5 L X42 Welded Vintage Pipelines
,” ASME J. Pressure Vessel Technol.
, 142
(6
), p. 061506
.10.1115/1.404756127.
Zhang
, X.
, Okodi
, A.
, Tan
, L.
, Leung
, J.
, and Adeeb
, S.
, 2020
, “Failure Pressure Prediction of Crack in Corrosion Defects in 2D by Using XFEM
,” ASME
Paper No. PVP2020-21046.10.1115/PVP2020-2104628.
Okodi
, A.
, Lin
, M.
, Yoosef-Ghodsi
, N.
, Kainat
, M.
, Hassanien
, S.
, and Adeeb
, S.
, 2020
, “Crack Propagation and Burst Pressure of Longitudinally Cracked Pipelines Using Extended Finite Element Method
,” Int. J. Pressure Vessels Piping
, 184
(5
), p. 104115
.10.1016/j.ijpvp.2020.10411529.
Zhang
, B.
, Ye
, C.
, Liang
, B.
, Zhang
, Z.
, and Zhi
, Y.
, 2014
, “Ductile Failure Analysis and Crack Behavior of X65 Buried Pipes Using Extended Finite Element Method
,” Eng. Failure Anal.
, 45
, pp. 26
–40
.10.1016/j.engfailanal.2014.06.00930.
Talemi
, R. H.
, 2016
, “Numerical Simulation of Dynamic Brittle Fracture of Pipeline Steel Subjected to DWTT Using XFEM-Based Cohesive Segment Technique
,” Fratt. Integrità Strutturale
, 10
(36
), pp. 151
–159
.10.3221/IGF-ESIS.36.1531.
Pereira
, L. S.
, Moço
, R. F.
, and Donato
, G. H. B.
, 2018
, “Ductile Fracture of Advanced Pipeline Steels: Study of Stress States and Energies in Dynamic Impact Specimens—CVN and DWTT
,” Procedia Struct. Integr.
, 13
, pp. 1985
–1992
.10.1016/j.prostr.2018.12.21932.
Lin
, M.
, Li
, Y.
, Salem
, M.
, Cheng
, J. J.
, Adeeb
, S.
, and Kainat
, M.
, 2020
, “A Parametric Study of Variable Crack Initiation Criterion in XFEM on Pipeline Steel
,” ASME
Paper No. PVP2020-21664.10.1115/PVP2020-2166433.
Lin
, M.
, Agbo
, S.
, Duan
, D.-M.
, Cheng
, J. J. R.
, and Adeeb
, S.
, 2020
, “Simulation of Crack Propagation in API 5 L X52 Pressurized Pipes Using XFEM-Based Cohesive Segment Approach
,” J. Pipeline Syst. Eng. Pract.
, 11
(2
), p. 04020009
.10.1061/(ASCE)PS.1949-1204.000044434.
Elyasi
, N.
, Shahzamanian
, M.
, Lin
, M.
, Westover
, L.
, Li
, Y.
, Kainat
, M.
, Yoosef-Ghodsi
, N.
, and Adeeb
, S.
, 2021
, “Prediction of Tensile Strain Capacity for X52 Steel Pipeline Materials Using the Extended Finite Element Method
,” Appl. Mech.
, 2
(2
), pp. 209
–225
.10.3390/applmech202001335.
Liu
, B.
, Liu
, X. J.
, and Zhang
, H.
, 2009
, “Strain-Based Design Criteria of Pipelines
,” J. Loss Prev. Process Ind.
, 22
(6
), pp. 884
–888
.10.1016/j.jlp.2009.07.01036.
Ameli
, I.
, Asgarian
, B.
, Lin
, M.
, Agbo
, S.
, Cheng
, R.
, Duan
, D.
, and Adeeb
, S.
, 2019
, “Estimation of the CTOD-Crack Growth Curves in SENT Specimens Using the Extended Finite Element Method
,” Int. J. Pressure Vessels Piping
, 169
, pp. 16
–25
.10.1016/j.ijpvp.2018.11.00837.
Wang
, J.
, Wang
, H.
, Lin
, N.
, Ma
, H.
, and Wang
, J.
, 2018
, “Comparison of Two Ductile Crack Propagation Models of GTN and CZM for Pipe Steel Fracture
,” ASME
Paper No. PVP2018-84689.10.1115/PVP2018-8468938.
Kofiani
, K.
, Nonn
, A.
, and Wierzbicki
, T.
, 2013
, “New Calibration Method for High and Low Triaxiality and Validation on SENT Specimens of API X70
,” Int. J. Pressure Vessels Piping
, 111–112
(1
), pp. 187
–201
.10.1016/j.ijpvp.2013.07.00439.
Barenblatt
, G. I.
, 1959
, “The Formation of Equilibrium Cracks During Brittle Fracture. General Ideas and Hypotheses. Axially-Symmetric Cracks
,” J. Appl. Math. Mech.
, 23
(3
), pp. 622
–636
.10.1016/0021-8928(59)90157-140.
Dugdale
, D. S.
, 1960
, “Yielding of Steel Sheets Containing Slits
,” J. Mech. Phys. Solids
, 8
(2
), pp. 100
–104
.10.1016/0022-5096(60)90013-241.
Javidrad
, F.
, and Mashayekhy
, M.
, 2014
, “A Cohesive Zone Model for Crack Growth Simulation in AISI 304 Steel
,” J. Solid Mech.
, 6
(4
), pp. 378
–388
.https://www.researchgate.net/publication/285996796_A_cohesive_zone_model_for_crack_growth_simulation_in_AISI_304_steel42.
Dassault Systèmes
, 2017
, “Abaqus Documentation
,” Dassault Systèmes
, Waltham, MA.43.
Górszczyk
, J.
, Malicki
, K.
, and Zych
, T.
, 2019
, “Application of Digital Image Correlation (DIC) Method for Road Material Testing
,” Materials
, 12
(15
), p. 2349
.10.3390/ma1215234944.
Liu
, X.
, Zhang
, H.
, Xia
, M.
, Han
, Y.
, and Ji
, Y.
, 2017
, “Numerical and Experimental Study on Critical Crack Tip Opening Displacement of X80 Pipeline Steel
,” Mechanics
, 23
(2
), pp. 204
–208
.10.5755/j01.mech.23.2.1453545.
Pascuzzo
, A.
, Greco
, F.
, Leonetti
, L.
, Lonetti
, P.
, Pranno
, A.
, and Ronchei
, C.
, 2022
, “Investigation of Mesh Dependency Issues in the Simulation of Crack Propagation in Quasi-Brittle Materials by Using a Diffuse Interface Modeling Approach
,” Fatigue Fract. Eng. Mater. Struct.
, 45
(3
), pp. 801
–820
.10.1111/ffe.1363546.
Ljustina
, G.
, Fagerström
, M.
, and Larsson
, R.
, 2014
, “Rate Sensitive Continuum Damage Models and Mesh Dependence in Finite Element Analyses
,” Sci. World J.
, 2014
(1
), pp. 1
–8
.10.1155/2014/26057147.
Liu
, P. F.
, Zhang
, B. J.
, and Zheng
, J. Y.
, 2012
, “Finite Element Analysis of Plastic Collapse and Crack Behavior of Steel Pressure Vessels and Piping Using XFEM
,” J. Failure Anal. Prev.
, 12
(6
), pp. 707
–718
.10.1007/s11668-012-9623-848.
Azimi
, M.
, Mirjavadi
, S. S.
, and Asli
, S. A.
, 2016
, “Investigation of Mesh Sensitivity Influence to Determine Crack Characteristic by Finite Element Methods
,” J. Failure Anal. Prev.
, 16
(3
), pp. 506
–512
.10.1007/s11668-016-0117-yCopyright © 2025 by ASME
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