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X-FEM and FEM for Discontinuities Modelling: a Comparative Study


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DOI: https://doi.org/10.15866/ireme.v11i1.10384

Abstract


In this investigation, we present a comparative study on finite elements for capturing discontinuities by means of standard finite elements (FEM) or extended finite elements (X-FEM). For this purpose, several specimens containing geometrical and material discontinuities have been analyzed. The analysis covered different basic geometrical configurations, namely propagation of single crack-tip, propagation of double crack-tip, void and inclusion growth. The basic idea is to determine numerically values of certain fracture parameters, and to compare them with the results given by analytical solution. These main characteristics constitute the key to every fracture mechanics analysis. They are the base for the majority of failure criteria. Hence, determining these characteristics must be assessed as accurately as possible.
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Keywords


Fracture Mechanics; Discontinuity; Singularity; X-FEM; FEM; Level Set

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References


Zehnder T. « Fracture Mechanics » Springer Netherlands (2015).

Prashant K. « Elements of Fracture Mechanics » Softcover (2009).

Chouitek, M., Bekouche, B., Benouzza, N., Comparison of Methodologies for the Design of Variable Reluctance Machine, (2014) International Review on Modelling and Simulations (IREMOS), 7 (5), pp. 775-781.
http://dx.doi.org/10.15866/iremos.v7i5.2372

Kumar, A., Jaiswal, H., Patil, P., FEM Simulation Based Computation of Natural Frequencies and Mode Shapes of Loose Transmission Gearbox Casing, (2014) International Review on Modelling and Simulations (IREMOS), 7 (5), pp. 900-905.
http://dx.doi.org/10.15866/iremos.v7i5.3932

Atifi, A., Mounir, H., El Marjani, A., A 2D Finite Element Model for the Analysis of a PEM Fuel Cell Heat and Stress Distribution, (2015) International Review on Modelling and Simulations (IREMOS), 8 (6), pp. 632-639.
http://dx.doi.org/10.15866/iremos.v8i6.7367

Aour, B., Damba, N., Three Dimensional Finite Element Investigation of the Mechanical Response of the C5-C6 Functional Spinal Unit Under Flexion, Extension and Lateral Bending, (2015) International Review on Modelling and Simulations (IREMOS), 8 (4), pp. 493-498.
http://dx.doi.org/10.15866/iremos.v8i4.6969

Ghodsi, M., Optimization of Mover Acceleration in DC Tubular Linear Direct-Drive Machine Using Response Surface Method, (2015) International Review of Electrical Engineering (IREE), 10 (4), pp. 492-500.
http://dx.doi.org/10.15866/iree.v10i4.6274

Sun, K., Shi, Y., Huang, L., Li, Y., An Improved Sensorless Control Method for IPMSM-Compressor Drives Based on the MRAS with Motor Parameter Variations, (2014) International Review of Electrical Engineering (IREE), 9 (1), pp. 73-82.

Njafi, A., İskender, İ., Comparing Transformer Derating Under Harmonic Load and Unbalanced Supply Voltage Based on IEEEC57.110 Standard and TESFEM By FHL And K_Factor, (2014) International Review of Electrical Engineering (IREE), 9 (1), pp. 226-234.

Alshoaibi, A., Ariffin, A., Finite Element Modeling of Fatigue Crack Propagation Using a Self Adaptive Mesh Strategy, (2015) International Review of Aerospace Engineering (IREASE), 8 (6), pp. 209-215.
http://dx.doi.org/10.15866/irease.v8i6.8823

Nasri, A., Ben Said, M., Bouzid, W., Tsoumarev, O., A Steady State Thermal Behavior Study of 3D Ball End Milling Model by Using Finite Element Method, (2016) International Review of Aerospace Engineering (IREASE), 9 (2), pp. 51-60.
http://dx.doi.org/10.15866/irease.v9i2.9718

Venetis, J., Sideridis, E., Study of Asymmetric Elastic Beams in Off-Axis Four-Point Bending, (2015) International Review of Aerospace Engineering (IREASE), 8 (6), pp. 185-197.
http://dx.doi.org/10.15866/irease.v8i6.8369

Arora, R., Kumar, A., Khan, S., Arya, S., Design Analysis and Comparison of HE and E Shaped Microstrip Patch Antennas, (2014) International Journal on Communications Antenna and Propagation (IRECAP), 4 (1), pp. 27-31.
http://dx.doi.org/10.15866/irecap.v4i1.1343

Allabouche, K., Mazri, T., Jorio, M., El Amrani El Idrissi, N., Comparative Analysis of Microstrip and Dielectric Resonator Antennas for UMTS Application, (2015) International Journal on Communications Antenna and Propagation (IRECAP), 5 (1), pp. 33-38.
http://dx.doi.org/10.15866/irecap.v5i1.5099

Abbaszadeh, K., Arand, S., Magnetic Shunts Geometry Effects on the Axial Forces and Leakage Flux in Power Transformers Based on FEM Method, (2014) International Journal on Energy Conversion (IRECON), 2 (5), pp. 157-166.

Barsoum R « Application of quadratic isoperimetric finite elements in liner fracture mechanics » Int. J. Fract. 10 (1974) pp. 603-605.
http://dx.doi.org/10.1007/bf00155266

Henshell R, Shaw K « Crack tip finite elements are unnecessary » Int. J. Numer. Meth.Eng. 9 (1975) pp. 495–507.
http://dx.doi.org/10.1002/nme.1620090302

Abdelaziz Y., Benkheira S,.Rikioui T, Mekkaoui A. « A double degenerated finite element for modelling the crack tip singularity », Applied Mathematical Modelling, 34 (2010), pp. 4031–4039.
http://dx.doi.org/10.1016/j.apm.2010.03.035

Gray L, Phan A, GlaucioPaulino H, Kaplan T « Improved quarter-point crack tip element » Engineering Fracture Mechanics 70 (2003) 269–283.
http://dx.doi.org/10.1016/s0013-7944(02)00027-9

Abdelaziz Y. « A new scheme for crack growth modeling by coupling modified quarter point crack-tip element and the level set method », The Journal of Engineering Research , Vol 10 no. 2 (2013), pp. 46- 51.

Benzley S « Representation of singularities with isoparametric finite elements » Int. J. Numer. Meth.Eng. 8 (1974) pp. 537–45.
http://dx.doi.org/10.1002/nme.1620080310

Belytschko T, Lu Y, Gu L « Element-free Galerkin methods » Int . J. Numer. Meth.Eng. 37 (1994) pp. 229–56.
http://dx.doi.org/10.1002/nme.1620370205

Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P « Mesh less methods: an overview and recent developments » Comput. Meth.Appl. Mech. Eng. 139 (1996) pp. 3–47.
http://dx.doi.org/10.1016/s0045-7825(96)01078-x

Fleming M, Chu YA, Moran B, Belytschko T « Enriched element- free Galerkin methods for crack tip fields » In.t J. Numer. Meth.Eng. 40 (1997) pp. 1483–504.
http://dx.doi.org/10.1002/(sici)1097-0207(19970430)40:8%3C1483::aid-nme123%3E3.3.co;2-y

Moës N., Dolbow J., Belytschko T. « A finite element method for crack growth without remeshing » International Journal for Numerical Methods in Engineering (1999), 46: 131-150.
http://dx.doi.org/10.1002/(sici)1097-0207(19990910)46:1%3C131::aid-nme726%3E3.3.co;2-a

Abdelaziz Y., Hamouine A. « A survey of the extended finite element » Computers and structures Elsevier, (2008), 86: 1141–1151.
http://dx.doi.org/10.1016/j.compstruc.2007.11.001

Abdelaziz Y., Nabbou A., Hamouine A. « A state-of-the-art review of the X-FEM for computational fracture mechanics » Applied Mathematical Modelling Elsevier, (2009), 33: 4269–4282. ‎
http://dx.doi.org/10.1016/j.apm.2009.02.010

Fries T, Belytschko T«The extended/generalized finite element method: An overview of the method and its applications » Int. J. Numer. Meth.Engng 2009; 00:1–6.
http://dx.doi.org/10.1002/nme.2914


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