{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,31]],"date-time":"2026-10-31T19:11:05Z","timestamp":1793473865960,"version":"4.5.0"},"reference-count":41,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,1,4]],"date-time":"2022-01-04T00:00:00Z","timestamp":1641254400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Materials"],"abstract":"<jats:p>The aim of this paper was to present a numerical simulation of a crack growth path and associated stress intensity factors (SIFs) for linear elastic material. The influence of the holes\u2019 position and pre-crack locations in the crack growth direction were investigated. For this purpose, ANSYS Mechanical R19.2 was introduced with the use of a new feature known as Separating Morphing and Adaptive Remeshing Technology (SMART) dependent on the Unstructured Mesh Method (UMM), which can reduce the meshing time from up to several days to a few minutes, eliminating long preprocessing sessions. The presence of a hole near a propagating crack causes a deviation in the crack path. If the hole is close enough to the crack path, the crack may stop at the edge of the hole, resulting in crack arrest. The present study was carried out for two geometries, namely a cracked plate with four holes and a plate with a circular hole, and an edge crack with different pre-crack locations. Under linear elastic fracture mechanics (LEFM), the maximum circumferential stress criterion is applied as a direction criterion. Depending on the position of the hole, the results reveal that the crack propagates in the direction of the hole due to the uneven stresses at the crack tip, which are consequences of the hole\u2019s influence. The results of this modeling are validated in terms of crack growth trajectories and SIFs by several crack growth studies reported in the literature that show trustworthy results.<\/jats:p>","DOI":"10.3390\/ma15010363","type":"journal-article","created":{"date-parts":[[2022,1,7]],"date-time":"2022-01-07T01:14:02Z","timestamp":1641518042000},"page":"363","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Finite Element Simulation of a Crack Growth in the Presence of a Hole in the Vicinity of the Crack Trajectory"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1599-8833","authenticated-orcid":false,"given":"Abdulnaser M.","family":"Alshoaibi","sequence":"first","affiliation":[{"name":"Mechanical Engineering Department, College of Engineering, Jazan University, Jazan 45142, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4510-456X","authenticated-orcid":false,"given":"Yahya Ali","family":"Fageehi","sequence":"additional","affiliation":[{"name":"Mechanical Engineering Department, College of Engineering, Jazan University, Jazan 45142, Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,1,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1016\/j.engfracmech.2015.05.023","article-title":"A review on 3D-FE adaptive remeshing techniques for crack growth modelling","volume":"141","author":"Branco","year":"2015","journal-title":"Eng. Fract. Mech."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"104219","DOI":"10.1016\/j.ijrmms.2020.104219","article-title":"Investigating the crack initiation and propagation mechanism in brittle rocks using grain-based finite-discrete element method","volume":"127","author":"Li","year":"2020","journal-title":"Int. J. Rock Mech. Min. Sci."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1016\/j.ijsolstr.2016.11.015","article-title":"On the suitability of a Discrete Element Method to simulate cracks initiation and propagation in heterogeneous media","volume":"108","author":"Leclerc","year":"2017","journal-title":"Int. J. Solids Struct."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1007\/s00466-019-01679-2","article-title":"Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture","volume":"64","author":"Shao","year":"2019","journal-title":"Comput. Mech."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"18805","DOI":"10.1016\/j.matpr.2018.06.227","article-title":"Modeling of Nonlinear Crack Growth in Steel and Aluminum Alloys by the Element Free Galerkin Method","volume":"5","author":"Kanth","year":"2018","journal-title":"Mater. Today Proc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.engfracmech.2019.04.002","article-title":"A polygonal XFEM with new numerical integration for linear elastic fracture mechanics","volume":"213","author":"Huynh","year":"2019","journal-title":"Eng. Fract. Mech."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1016\/j.engfracmech.2018.11.011","article-title":"Linear smoothed extended finite element method for fatigue crack growth simulations","volume":"206","author":"Surendran","year":"2019","journal-title":"Eng. Fract. Mech."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1002\/nme.6026","article-title":"A cohesive XFEM model for simulating fatigue crack growth under mixed-mode loading and overloading","volume":"118","author":"Dekker","year":"2019","journal-title":"Int. J. Numer. Methods Eng."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1016\/j.ijsolstr.2017.05.016","article-title":"Prediction of fracture and damage in micro\/nano coating systems using cohesive zone elements","volume":"121","author":"Rezaei","year":"2017","journal-title":"Int. J. Solids Struct."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"176","DOI":"10.1016\/j.enganabound.2015.12.002","article-title":"Dual boundary element analysis of fatigue crack growth, interaction and linkup","volume":"64","author":"Santana","year":"2016","journal-title":"Eng. Anal. Bound. Elem."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/j.engfracmech.2015.06.084","article-title":"Analysis of cracked shear deformable plates by an effective meshfree plate formulation","volume":"144","author":"Tanaka","year":"2015","journal-title":"Eng. Fract. Mech."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.tafmec.2016.10.004","article-title":"Accurate and efficient analysis of stationary and propagating crack problems by meshless methods","volume":"87","author":"Khosravifard","year":"2017","journal-title":"Theor. Appl. Fract. Mech."},{"key":"ref_13","first-page":"373","article-title":"An Efficient Implementation of Phase Field Method with Explicit Time Integration","volume":"6","author":"Zhang","year":"2020","journal-title":"J. Appl. Comput. Mech."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1002\/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J","article-title":"A finite element method for crack growth without remeshing","volume":"46","author":"Dolbow","year":"1999","journal-title":"Int. J. Numer. Methods Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"7513","DOI":"10.1016\/j.ijsolstr.2003.08.002","article-title":"Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation","volume":"40","author":"Sukumar","year":"2003","journal-title":"Int. J. Solids Struct."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Alshoaibi, A.M., and Fageehi, Y.A. (2021). Simulation of Quasi-Static Crack Propagation by Adaptive Finite Element Method. Metals, 11.","DOI":"10.3390\/met11010098"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1016\/S0013-7944(99)00040-5","article-title":"Finite element modelling of fatigue crack growth of surface cracked plates: Part I: The numerical technique","volume":"63","author":"Lin","year":"1999","journal-title":"Eng. Fract. Mech."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/s00466-020-01929-8","article-title":"A combined XFEM phase-field computational model for crack growth without remeshing","volume":"67","author":"Marco","year":"2021","journal-title":"Comput. Mech."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"7850","DOI":"10.1016\/j.jmrt.2020.04.083","article-title":"2D finite element simulation of mixed mode fatigue crack propagation for CTS specimen","volume":"9","author":"Alshoaibi","year":"2020","journal-title":"J. Mater. Res. Technol."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Alshoaibi, A.M., and Fageehi, Y.A. (2020). Numerical Analysis of Fatigue Crack Growth Path and Life Predictions for Linear Elastic Material. Materials, 13.","DOI":"10.3390\/ma13153380"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Alshoaibi, A.M. (2021). Computational Simulation of 3D Fatigue Crack Growth under Mixed-Mode Loading. Appl. Sci., 11.","DOI":"10.3390\/app11135953"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Alshoaibi, A.M. (2021). Numerical Modeling of Crack Growth under Mixed-Mode Loading. Appl. Sci., 11.","DOI":"10.3390\/app11072975"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1002\/(SICI)1097-0207(20000110\/30)47:1\/3<229::AID-NME769>3.0.CO;2-2","article-title":"Automated 3-D crack growth simulation","volume":"47","author":"Carter","year":"2000","journal-title":"Int. J. Numer. Methods Eng."},{"key":"ref_24","unstructured":"Hou, J., Goldstraw, M., Maan, S., Knop, M., and Defence Science and Technology Organization Victoria (Australia) Aeronautical and Maritime Research Laboratory (2001). An Evaluation of 3D Crack Growth Using ZENCRACK."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1016\/j.ijfatigue.2019.04.026","article-title":"Experimental investigation and numerical modeling of the fatigue crack growth in friction stir spot welding of lap-shear specimen","volume":"125","author":"Shahani","year":"2019","journal-title":"Int. J. Fatigue"},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Malekan, M., Khosravi, A., and St-Pierre, L. (2021). An Abaqus plug-in to simulate fatigue crack growth. Eng. Comput., 1\u201315.","DOI":"10.1007\/s00366-021-01321-x"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"102493","DOI":"10.1016\/j.tafmec.2020.102493","article-title":"Numerical analysis of mixed-mode fatigue crack growth of adhesive joints using CZM","volume":"106","author":"Rocha","year":"2020","journal-title":"Theor. Appl. Fract. Mech."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"107400","DOI":"10.1016\/j.engfracmech.2020.107400","article-title":"Tetrahedral meshing for a slanted semi-elliptical surface crack at a solid cylinder","volume":"241","author":"Teh","year":"2021","journal-title":"Eng. Fract. Mech."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Paris, P.C. (2014). A Brief History of the Crack Tip Stress Intensity Factor and Its Application, Springer.","DOI":"10.1007\/s11012-014-9896-y"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1169","DOI":"10.1016\/j.ijfatigue.2007.09.006","article-title":"A study of fatigue crack growth of 7075-T651 aluminum alloy","volume":"30","author":"Zhao","year":"2008","journal-title":"Int. J. Fatigue"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1007\/s11668-013-9659-4","article-title":"Experimental evaluation of mixed mode stress intensity factor for prediction of crack growth by phoelastic method","volume":"13","author":"Singh","year":"2013","journal-title":"J. Fail. Anal. Prev."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/S0142-1123(02)00066-X","article-title":"On generating fatigue crack growth thresholds","volume":"25","author":"Forth","year":"2003","journal-title":"Int. J. Fatigue"},{"key":"ref_33","unstructured":"Bj\u00f8rheim, F. (2019). Practical Comparison of Crack Meshing in ANSYS Mechanical APDL 19.2. [Master\u2019s Thesis, University of Stavanger]."},{"key":"ref_34","unstructured":"Wawrzynek, P., Carter, B., and Banks-Sills, L. (2005). The M-Integral for Computing Stress Intensity Factors in Generally Anisotropic Materials."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1111\/ffe.12655","article-title":"Dual boundary element method and finite element method for mixed-mode crack propagation simulations in a cracked hollow shaft","volume":"41","author":"Citarella","year":"2018","journal-title":"Fatigue Fract. Eng. Mater. Struct."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"107634","DOI":"10.1016\/j.engfracmech.2021.107634","article-title":"Use of a rotation-invariant linear strain measure for linear elastic crack propagation calculations","volume":"247","author":"Dhondt","year":"2021","journal-title":"Eng. Fract. Mech."},{"key":"ref_37","unstructured":"ANSYS (2020). Academic Research Mechanical, Release 19.2, Help System. Coupled Field Analysis Guide, ANSYS, Inc."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.engfracmech.2017.01.010","article-title":"Modeling of multiple crack propagation in 2-D elastic solids by the fast multipole boundary element method","volume":"172","author":"Liu","year":"2017","journal-title":"Eng. Fract. Mech."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1111\/ffe.13359","article-title":"Fatigue crack growth simulation of interacting multiple cracks in perforated plates with multiple holes using boundary cracklet method","volume":"44","author":"Ahmed","year":"2021","journal-title":"Fatigue Fract. Eng. Mater. Struct."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"229","DOI":"10.1007\/s10704-021-00553-8","article-title":"A particle interaction-based crack model using an improved smoothed particle hydrodynamics for fatigue crack growth simulations","volume":"229","author":"Wiragunarsa","year":"2021","journal-title":"Int. J. Fract."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"102724","DOI":"10.1016\/j.tafmec.2020.102724","article-title":"Effects of arbitrary holes\/voids on crack growth using local mesh refinement adaptive XIGA","volume":"109","author":"Fang","year":"2020","journal-title":"Theor. Appl. Fract. 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