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Journal articles on the topic 'Extended finite element method (XFEM)'

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Published: 4 June 2021

Last updated: 25 July 2025

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1

Li, Tingyu, Dongxu Han, Fusheng Yang, Bo Yu, Dongliang Sun, and Jinjia Wei. "A comparative study on simulating flow-induced fracture deformation in subsurface media by means of extended FEM and FVM." Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles 75 (2020): 41. http://dx.doi.org/10.2516/ogst/2020037.

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Accurate and efficient simulation on the fluid flow and deformation in porous media is of increasing importance in a diverse range of engineering fields. At present, there are only several methods can be used to simulate the deformation of fractured porous media. It is very important to know their application scopes, advantages, and disadvantages for solving the practical problems correctly. Therefore, in this paper, we compared two numerical simulation methods for flow-induced fracture deformation in porous media. One is the Extended Finite Element Method (XFEM), which is based on the classic

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2

Wang, Feng, Di Zhang, Jing Yu, and Hui Xu. "Numerical Integration Technique in Computation of Extended Finite Element Method." Advanced Materials Research 446-449 (January 2012): 3557–60. http://dx.doi.org/10.4028/www.scientific.net/amr.446-449.3557.

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The extended finite element method (XFEM) is the most effective numerical method to solve discontinuous dynamic problems so far. It makes research within a standard finite element framework and reserves all merits of CFEM. In other side, it needs not mesh repartition to geometric and physical interface. Numerical integration techniques of the XFEM computation are studied, including displacement mode of the XFEM, control equation and infirm solution form of discontinuous medium mechanics problem, region scatteration, element integral strategy.

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3

Zhou, Li Ming, Guang Wei Meng, Feng Li, and Shuai Gu. "A Cell-Based Smoothed XFEM for Fracture in Piezoelectric Materials." Advances in Materials Science and Engineering 2016 (2016): 1–14. http://dx.doi.org/10.1155/2016/4125307.

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This paper presents a cell-based smoothed extended finite element method (CS-XFEM) to analyze fractures in piezoelectric materials. The method, which combines the cell-based smoothed finite element method (CS-FEM) and the extended finite element method (XFEM), shows advantages of both methods. The crack tip enrichment functions are specially derived to represent the characteristics of the displacement field and electric field around the crack tip in piezoelectric materials. With the help of the smoothing technique, integrating the singular derivatives of the crack tip enrichment functions is a

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4

Yu, Miao, Zhi Hong Dai, and Gui Juan Hu. "Crack Extension Calculation under Tensile and Shear Load by XFEM." Applied Mechanics and Materials 580-583 (July 2014): 3046–50. http://dx.doi.org/10.4028/www.scientific.net/amm.580-583.3046.

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The extended finite element method (XFEM) is a numerical method for modeling discontinuity such as cracks, holes, inclusions etc within a standard finite element framework. In the XFEM, special functions which can reflect the problem’s solution characteristics are added to the finite element approximation using the framework of partition of unity. Compared with the standard finite element method, it obtained more accuracy without remeshing. In this paper, we studied crack propagation behavior under different proportions of tension and shear loads by XFEM.

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Duan, Nana, Shaocong Lu, Xinyu Ma, Weijie Xu, Fuquan Jin, and Shuhong Wang. "Research on Extended Finite Element Method for Axisymmetric Electrostatic Field Based on Liquid Nitrogen with Bubbles." Applied Sciences 11, no. 11 (2021): 5214. http://dx.doi.org/10.3390/app11115214.

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In this paper, the extended finite element method (XFEM) is first applied to account for the weak discontinuity of the axisymmetric electrostatic field. Firstly, the interface between two materials in an element is described by the level set method. The enrichment function is used to modify the shape function of enrichment elements. Secondly, to illustrate the feature of the enrichment function, the distribution diagrams of enrichment functions in sub-elements are drawn. The 3D field can be simplified to an axisymmetric field, which can reduce the difficulty of calculation. Finally, models wit

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6

Zhang, Di, Feng Wang, and Hui Xu. "Study of Numerical Problem Based on the Extended Finite Element Method." Advanced Materials Research 472-475 (February 2012): 1623–26. http://dx.doi.org/10.4028/www.scientific.net/amr.472-475.1623.

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The extended finite element method (XFEM) provides an effective tool for analyzing crack problems.The control equations and the weak form can be established through balance equations ,boundary condition, geometry equations,etc.After the establishment of stiffness matrix,the crack problems can be solved by XFEM conveniently.

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7

Yan, Ke Bin, Zheng Xiang Huang, Rong Zhong Liu, and Feng Wang. "Research of the Penetration Process for Concrete Target Based on the Extended Finite Element Method." Applied Mechanics and Materials 644-650 (September 2014): 429–32. http://dx.doi.org/10.4028/www.scientific.net/amm.644-650.429.

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The extended finite element method (XFEM) is the most effective numerical method to solve discontinuous dynamic problems so far. It makes research within a standard finite element framework and needs not mesh repartition to geometric and physical interface, so it reserves all merits of the conventional finite element method (CFEM). The XFEM was applied to the penetration process for concrete target in the paper, and the displacement mode of elements with cracks and fracture criterion were presented. Then the weak solutions of control equations were discretized in different areas. The numerical

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8

Tang, Yu Xiang, and Hong Niao Chen. "Simulation of Crack Propagation in Concrete Based on Extended Finite Element Method." Key Engineering Materials 783 (October 2018): 165–69. http://dx.doi.org/10.4028/www.scientific.net/kem.783.165.

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Fracture behaviors in concrete beam subjected to three-point bending was numerically simulated using extended finite element method (XFEM). The entire load-displacement curves and crack path obtained by numerical simulation were compared with that measured from experimental tests. Compared with the experimental results, the errors of numerical Pc and δc were smaller than 10% and the error of CMODc was lower than 2%, verifying the validity and accuracy of XFEM model. Whether a XFEM simulation or a test, the propagation direction of the main crack is toward to the upper loading point. At the pea

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9

Chen, Xinya, Zhen Chen, and Yang Zhao. "Analysis of Sheet Fracture Failure Based on XFEM." Open Mechanical Engineering Journal 9, no. 1 (2015): 887–91. http://dx.doi.org/10.2174/1874155x01509010887.

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Extended finite element method (XFEM) is the most effective numerical method to solve discrete mechanical problem. Crack growth problem of two-dimension finite length rectangle panel is researched based on Abaqus XFEM frame. Stress intensity factor is obtained respectively by theoretical calculation and XFEM simulation, which proves reliability of XFEM and the software.

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10

Li, Wei, Huangjian Yi, Qitan Zhang, Duofang Chen, and Jimin Liang. "Extended Finite Element Method with Simplified Spherical Harmonics Approximation for the Forward Model of Optical Molecular Imaging." Computational and Mathematical Methods in Medicine 2012 (2012): 1–10. http://dx.doi.org/10.1155/2012/394374.

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An extended finite element method (XFEM) for the forward model of 3D optical molecular imaging is developed with simplified spherical harmonics approximation (SPN). In XFEM scheme ofSPNequations, the signed distance function is employed to accurately represent the internal tissue boundary, and then it is used to construct the enriched basis function of the finite element scheme. Therefore, the finite element calculation can be carried out without the time-consuming internal boundary mesh generation. Moreover, the required overly fine mesh conforming to the complex tissue boundary which leads t

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11

Jiang, Youshi, Jinzhou Zhao, Yongming Li, Hu Jia, and Liehui Zhang. "Extended Finite Element Method for Predicting Productivity of Multifractured Horizontal Wells." Mathematical Problems in Engineering 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/810493.

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Based on the theory of the extended finite element method (XFEM), which was first proposed by Moës for dealing with the problem characterized by discontinuities, an extended finite element model for predicting productivity of multifractured horizontal well has been established. The model couples four main porous flow regimes, including fluid flow in the away-from-wellbore region of reservoir matrix, radial flow in the near-wellbore region of reservoir matrix, linear flow in the away-from-wellbore region of fracture, and radial flow in the near-wellbore region of fracture by considering mass tr

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12

Doškář, Martin, Jan Novák, and Jan Zeman. "Wang Tiling Based Enrichment Functions for Extended Finite Element Method." Advanced Materials Research 1144 (March 2017): 102–8. http://dx.doi.org/10.4028/www.scientific.net/amr.1144.102.

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The Extended Finite Element Method (XFEM) enhances the approximation space of the standard Finite Element Method (FEM) with functions reflecting local features in order to yield more accurate results with less degrees of freedom. XFEM performance is, thus, closely related to the quality of enrichment functions. Analogously to our previous works, in which we have employed the concept of Wang tiles to assembly microstructure geometries, in this contribution we use Wang tiles to assemble microstructure-informed enrichment functions. We compare two ways of generating the enrichments: (i) inspired

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Song, Jeong-Hoon, Patrick Lea, and Jay Oswald. "Explicit Dynamic Finite Element Method for Predicting Implosion/Explosion Induced Failure of Shell Structures." Mathematical Problems in Engineering 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/957286.

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A simplified implementation of the conventional extended finite element method (XFEM) for dynamic fracture in thin shells is presented. Though this implementation uses the same linear combination of the conventional XFEM, it allows for considerable simplifications of the discontinuous displacement and velocity fields in shell finite elements. The proposed method is implemented for the discrete Kirchhoff triangular (DKT) shell element, which is one of the most popular shell elements in engineering analysis. Numerical examples for dynamic failure of shells under impulsive loads including implosi

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14

Bobiński, J., and J. Tejchman. "Application of Extended Finite Element Method to Cracked Concrete Elements – Numerical Aspects." Archives of Civil Engineering 58, no. 4 (2012): 409–31. http://dx.doi.org/10.2478/v.10169-012-0022-z.

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AbstractThe paper deals with the application of the eXtended Finite Element Method (XFEM) to simulations of discrete macro-cracks in plain concrete specimens under tension, bending and shear. Fundamental relationships and basic discrete constitutive laws were described. The most important aspects of the numerical implementation were discussed. Advantages and disadvantages of the method were outlined

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15

Jiang, Yong, and Eric Li. "XFEM with Smoothing Technique for Static Fracture Mechanics in Three-Dimension." International Journal of Computational Methods 13, no. 02 (2016): 1640004. http://dx.doi.org/10.1142/s0219876216400041.

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In this work, the advantages of face-based smoothing technique and extended finite element method (XFEM) are combined to develop a face-based smoothed extended finite element method (FS-XFEM). By this new method, arbitrary crack geometry can be modeled and crack advance can be simulated without remeshing. At the same time, the integration of singular term over the volume around the crack front can be eliminated induced by the transformation of volume integration into area integration. Numerical examples are presented to test the accuracy and convergence rate of the FS-XFEM. From the results, i

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16

Malekan, Mohammad, Felício Barros, Roque Luiz da Silva Pitangueira, Phillipe Daniel Alves, and Samuel Silva Penna. "A computational framework for a two-scale generalized/extended finite element method." Engineering Computations 34, no. 3 (2017): 988–1019. http://dx.doi.org/10.1108/ec-02-2016-0050.

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Purpose This paper aims to present a computational framework to generate numeric enrichment functions for two-dimensional problems dealing with single/multiple local phenomenon/phenomena. The two-scale generalized/extended finite element method (G/XFEM) approach used here is based on the solution decomposition, having global- and local-scale components. This strategy allows the use of a coarse mesh even when the problem produces complex local phenomena. For this purpose, local problems can be defined where these local phenomena are observed and are solved separately by using fine meshes. The r

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17

Chessa, Jack, Patrick Smolinski, and Ted Belytschko. "The extended finite element method (XFEM) for solidification problems." International Journal for Numerical Methods in Engineering 53, no. 8 (2002): 1959–77. http://dx.doi.org/10.1002/nme.386.

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18

Su, Yi, Sheng Nan Wang, and Yong En Du. "Optimization Algorithm of Crack Initial Angle Using the Extended Finite Element Method." Applied Mechanics and Materials 444-445 (October 2013): 77–84. http://dx.doi.org/10.4028/www.scientific.net/amm.444-445.77.

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The extended finite element method (XFEM) allows the entire crack to be represented independently from the mesh, which means re-mesh is unnecessary in model crack growth, reduces the computational time drastically. However, fatigue crack growth simulation has been computationally challenged by lots of analog computations in crack growth. Therefore, a new reanalysis algorithm based on incremental Cholesky factorization is derived. In this paper, we consider a variant of XFEM in which an exponent discontinuous function is used to simulate the crack through unit. Then the corresponding formula of

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19

CHEN, L., G. R. LIU, and K. Y. ZENG. "A COMBINED EXTENDED AND EDGE-BASED SMOOTHED FINITE ELEMENT METHOD (ES-XFEM) FOR FRACTURE ANALYSIS OF 2D ELASTICITY." International Journal of Computational Methods 08, no. 04 (2011): 773–86. http://dx.doi.org/10.1142/s0219876211002812.

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This study combines the edge-based smoothed finite element method (ES-FEM) and the extended finite element method (XFEM) to develop a new simulation technique (ES-XFEM) for fracture analysis of 2D elasticity. In the XFEM, the need for the mesh alignment with the crack and remeshing, as the crack evolves, is eliminated because of the use of partition of unity. The ES-FEM uses the generalized smoothing operation over smoothing domain associated with edges of simplex meshes, and produces a softening effect leading to a close-to-exact stiffness, "super-convergence" and "ultra-accurate" solutions f

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20

Abdi, M., I. Ashcroft, and R. D. Wildman. "Topology Optimization of Geometrically Non-Linear Structures Using Iso-XFEM Method." Key Engineering Materials 627 (September 2014): 121–24. http://dx.doi.org/10.4028/www.scientific.net/kem.627.121.

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Iso-XFEM is an evolutionary-based topology optimization method which couples the extended finite element method (X-FEM) with an isoline/isosurface optimization approach, enabling a smooth and accurate representation of the design boundary in a fixed-grid finite element mesh. This paper investigates the application of the Iso-XFEM method to the topology optimization of structures which experience large deformation. The total Lagrangian formulation of the finite element method is employed to model the geometrically non-linear behaviour and equilibrium is found by implementing the Newton-Raphson

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21

XIE, Guizhong, Chongmao ZHAO, Hao LI, et al. "An adaptive extended finite element based crack propagation analysis method." Mechanics 30, no. 1 (2024): 74–82. http://dx.doi.org/10.5755/j02.mech.33301.

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In this paper, a method of crack propagation analysis based on adaptive extension finite element is proposed. This method combines adaptive mesh reconstruction technology with extended finite element method (XFEM). Firstly, the model of engineering structure is discretized with the help of mesh generation software, and the initial mesh is divided. Secondly, Construction of XFEM model, and the tip of crack strengthening function is introduced to describe the physical field properties of the crack tip. The integral equation is solved to obtain the crack tip parameters. Then, the adaptive mesh re

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22

Li, Lin Sheng, Chang Jun Qiu, and Lan Li. "An Integration Scheme of Extended Finite Element Method." Applied Mechanics and Materials 148-149 (December 2011): 286–90. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.286.

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A simple integration scheme is presented for numerical integration in the extended finite element method(XFEM). In this scheme, the integral domain of common triangular mesh is converted to that of standard triangular mesh and the integral domain of standard triangular mesh is converted to that of quadrilateral mesh. By this transformation of integral domain, the strength intensity factors for straight crack are worked out. Finally, the accuracy of this method is analyzed by a typical example. It is concluded that the results obtained by new integral scheme are more accurate and simple than co

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Cen, Yi. "Extended Finite Element Method for Fracture Mechanics and Mesh Refinement Controlled by Density Function." Key Engineering Materials 525-526 (November 2012): 413–16. http://dx.doi.org/10.4028/www.scientific.net/kem.525-526.413.

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This paper discusses the combination of element enrichment by mesh refinement controlled by density function with the extended finite element method and its application in fracture mechanics. Extended finite element method (XFEM) is an effective numerical method for solving discontinuity problems in the finite element work frame. A numerical example of fracture mechanics is analyzed at the end of this paper to show the application of the above method.

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LIU, S. "XRPIM versus XFEM." International Journal of Computational Methods 10, no. 01 (2013): 1340006. http://dx.doi.org/10.1142/s0219876213400069.

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We present an extended radial point interpolation method (XRPIM) for modeling cracks and material interfaces in two-dimensional elasto-static problems. Therefore, partition of unity enrichment is incorporated into RPIM. We employ both step enrichment and crack tip enrichment for cracks. The studies are restricted to stationary cracks though the method can be extended easily to moving boundaries. We compare the results to the extended finite element method to show the superiority of our method. We show for two selected problems that the error is of magnitudes lower compared to XFEM simulations.

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AN, XINMEI, GUOYANG FU, and GUOWEI MA. "A COMPARISON BETWEEN THE NMM AND THE XFEM IN DISCONTINUITY MODELING." International Journal of Computational Methods 09, no. 02 (2012): 1240030. http://dx.doi.org/10.1142/s0219876212400300.

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Discontinuities such as voids, cracks, material interfaces, and joints widely exist in nature. Conventional finite element method (FEM) requires the finite element mesh to coincide with the discontinuities, which often complicates the meshing task. When evolution of discontinuities are necessary, remeshing is inevitable, which makes the simulation tedious and time-consuming. In order to overcome such inconveniences, the extended finite element method (XFEM) and the generalized finite element method (GFEM) were developed by incorporating special functions into the standard finite element approx

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Sarkar, Subhasis, Nicole Apetre, Nagaraja Iyyer, Nam Phan, Kishan Goel, and Satya Atluri. "Comparison of SGBEM-FEM Alternating Method and XFEM Method for Determining Stress Intensity Factor for 2D Crack Problems." Advanced Materials Research 891-892 (March 2014): 345–50. http://dx.doi.org/10.4028/www.scientific.net/amr.891-892.345.

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The two most promising approaches to determine Stress Intensity Factor (SIF) developedover the past decade are the Symmetric Galerkin Boundary Element Method - Finite Element Method(SGBEM-FEM) based alternating method and the Extended Finite Element (XFEM) method. Thepurpose of this paper is to determine the SIFs for a number of 2-D crack problems by the two ap-proaches and measure their relative effectiveness in terms of accuracy, speed and computational re-sources.In the SGBEM-FEM alternating method, a finite element analysis is carried out on the un-crackedbody using the externally applied

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Qu, Hong Chang, Xiao Zhou Xia, and Zhi Qiang Xiong. "Numerical Simulation of Quasi-Brittle Fracture in Concrete Structures with Extended Finite Element Method." Advanced Materials Research 163-167 (December 2010): 1837–43. http://dx.doi.org/10.4028/www.scientific.net/amr.163-167.1837.

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In this paper, the extended finite element method (XFEM) is used for a discrete crack simulation of concrete using an adaptive crack growth algorithm. An interface model is proposed which includes normal and tangential displacements and allows the transfer of shear stresses through the interface. Different criteria for predicting the direction of the extension of a cohesive crack are conducted in the framework of the XFEM. On the basis of two examples, a comparison between the maximum circumferential stress criterion, the maximum energy release rate and the minimum potential energy criterion w

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Wang, Feng, Hui Xu, Jing Yu, Xi Quan Jiang, and Long Yu. "Application of the Extended Finite Element Method to the Penetration Problem for a Body with Cracks." Applied Mechanics and Materials 321-324 (June 2013): 146–49. http://dx.doi.org/10.4028/www.scientific.net/amm.321-324.146.

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The XFEM makes research within a standard finite element framework and needs not mesh repartition to geometric and physical interface, and it reserves all merits of the CFEM, therefore it is the most effective numerical method to solve discontinuous dynamic problems so far. The crack growth problem was studied in the XFEM computation, and the displacement mode of elements with cracks and fracture criterion were presented. The numerical examples for steel rod penetrating in the aluminum target concluded that the method and program were reasonable and effective. The crack growth discipline of pe

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Giang, Nguyen Truong. "Numerical simulation of the crack 2D by the finite element incorporated the discontinuity." Vietnam Journal of Mechanics 30, no. 2 (2008): 80–88. http://dx.doi.org/10.15625/0866-7136/30/2/5620.

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Determining stress intensity factors is important in fracture mechanics. The extended finite element method (XFEM) provides a robust and accurate to determine factors. This paper describes some results from the analysis of cracked plates using XFEM. Extended finite elements allow the entire crack to be represented independently of the meshing. The elements employ discontinuous functions and the facture mechanics two dimensional asymptotic crack tip displacement fields. The Fortran source code of Cast3M applies these elements to a set of examples. The obtained stress and deformation fields are

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Zhang, Hui Hua, and Dong Feng Zhou. "Extended Finite Element Analysis of Crack-Void Interaction Problems in Viscoelastic Materials." Applied Mechanics and Materials 353-356 (August 2013): 3186–89. http://dx.doi.org/10.4028/www.scientific.net/amm.353-356.3186.

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Due to the incorporation of enrichment functions in the displacement approximation, the mesh in the extended finite element method (XFEM) can be independent of the internal discontinuities. In the present paper, crack-void interaction problems in viscoelastic materials are investigated with the XFEM. The effect of the distance between crack and void on crack opening displacement is mainly studied in time domain.

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Pang, Yi Ling, and Duan Ming Dai. "XFEM for Crack Propagation in Fiber-Reinforced Materials." Advanced Materials Research 997 (August 2014): 450–53. http://dx.doi.org/10.4028/www.scientific.net/amr.997.450.

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This article describes the basic format of extended finite element method (XFEM), and simulation the crack propagation of fiber reinforced materials with extended finite element. Explore the number and elastic modulus of fibers influence the crack propagation by changing the elastic modulus and quantity of the fibers in matrix.

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Yu, T. T. "The extended finite element method (XFEM) for discontinuous rock masses." Engineering Computations 28, no. 3 (2011): 340–69. http://dx.doi.org/10.1108/02644401111118178.

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Jia, Honggang, Yufeng Nie, and Junlin Li. "Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method." Advances in Applied Mathematics and Mechanics 7, no. 6 (2015): 780–95. http://dx.doi.org/10.4208/aamm.2014.m627.

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AbstractIn this paper, a method for extracting stress intensity factors (SIFs) in orthotropic thermoelasticity fracture by the extended finite element method (XFEM) and interaction integral method is present. The proposed method is utilized in linear elastic crack problems. The numerical results of the SIFs are presented and compared with those obtained using boundary element method (BEM). The good accordance among these two methods proves the applicability of the proposed approach and conforms its capability of efficiently extracting thermoelasticity fracture parameters in orthotropic materia

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Lu, Wen Yan. "Failure Simulation of Single-Edge Notched Concrete Beam under Dynamic Tensile Loading." Applied Mechanics and Materials 638-640 (September 2014): 333–37. http://dx.doi.org/10.4028/www.scientific.net/amm.638-640.333.

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Crack growth of concrete beam under dynamic tensile loading is a typical discontinuous problem. It is difficult to realize the process of crack propagation using the conventional finite element method, but the extended finite element method (XFEM) is an effective method to analyze the fracture developed in recent years. This paper introduces the basic principle of XFEM and the analysis method of simulating concrete cracking and crack propagation with XFEM. At the end the crack expansion process of the concrete specimen with initial crack and dynamic load is done. The influence of crack propaga

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Vu, Hoa Cong, and Dat Cong Nguyen. "APPLYING OF EXTENDED FINITE ELEMENT METHOD FOR CALCULATING STRESS INTENSITY FACTOR." Science and Technology Development Journal 13, no. 4 (2010): 51–63. http://dx.doi.org/10.32508/stdj.v13i4.2168.

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Finite element method is a very powerful numerical method to predict and model mechanical behavior of material and structure. However, in some cases finite element method is more complicated like the modeling of moving discontinuities, hence the need to update the mesh to match the geometry of discontinuity. Extended finite element method (XFEM) allows us a new technique to modeling crack independently of the mesh; hence it is no need to remesh during propagation of the crack. In this paper, an extended finite element method is used to calculate stress intensity factor. It’s important paramete

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Du, Quanshangze, Aline Bel-Brunon, Simon Auguste Lambert, and Nahiène Hamila. "Numerical simulation of wave propagation through interfaces using the extended finite element method for magnetic resonance elastography." Journal of the Acoustical Society of America 151, no. 5 (2022): 3481–95. http://dx.doi.org/10.1121/10.0011392.

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Magnetic resonance elastography (MRE) is an elasticity imaging technique for quantitatively assessing the stiffness of human tissues. In MRE, finite element method (FEM) is widely used for modeling wave propagation and stiffness reconstruction. However, in front of inclusions with complex interfaces, FEM can become burdensome in terms of the model partition and computationally expensive. In this work, we implement a formulation of FEM, known as the eXtended finite element method (XFEM), which is a method used for modeling discontinuity like crack and heterogeneity. Using a level-set method, it

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Taghezout, Ali, Bendouba Mostefa, Abdelkader Djebli, Aid Abdelkarim, and Habib Khellafi. "Experimental and Numerical Fracture Modeling Using XFEM of Aluminum Plates." International Journal of Engineering Research in Africa 46 (January 2020): 45–52. http://dx.doi.org/10.4028/www.scientific.net/jera.46.45.

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In this paper a numerical modeling was carried out to study the problem of plane elasticity in a medium cracked by the method of the extended finite elements (XFEM) in a thin cracked plate made of aluminum using the software Abaqus 6.13.This method improved the capability of the classical finite element method especially the crack propagation problems. Furthermore, the extended finite elements method has been used to simulate tensile and fracture behavior of the study materials. Based on variation in size and shape of crack, the results obtained will be compared with those obtained experimenta

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Zeller, Christian, Binu Surendran, and Micheal F. Zaeh. "Parameterized Extended Finite Element Method for high thermal gradients." Journal of Computational Design and Engineering 5, no. 3 (2017): 329–36. http://dx.doi.org/10.1016/j.jcde.2017.12.001.

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Abstract The Finite Element Method results in inaccuracies for temperature changes at the boundary if the mesh is too coarse in comparison with the applied time step. Oscillations occur as the adjacent elements balance the excessive energy of the boundary element. An Extended Finite Element Method (XFEM) with extrinsic enrichment of the boundary element by a parameterized problem-specific ansatz function is presented. The method is able to represent high thermal gradients at the boundary with a coarse mesh as the enrichment function compensates for the excessive energy at the element affected

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Zheng, Anxing. "Extended Finite Element Method for Analyzing Hydraulic Fracturing of Rock Cracks Under Compression." Processes 13, no. 2 (2025): 514. https://doi.org/10.3390/pr13020514.

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This paper presents a numerical model based on the extended finite element method (XFEM) to tackle the problems of hydraulic fracturing and frictional contact in rock cracks. By considering the water pressure distribution on the crack surfaces and the virtual work principle of frictional contact on the crack surfaces, the governing equations for analyzing hydraulic fracturing and frictional contact problems using the XFEM are derived, and the implementation method of the XFEM with frictional contact and water pressure distribution on the crack surfaces is presented. Taking a single-edge-cracke

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Lee, Sung-Jun, Sang-Hwan Lee, and Yoon-Suk Chang. "PWSCC Assessment by Using Extended Finite Element Method." Journal of Multiscale Modelling 06, no. 03 (2015): 1550007. http://dx.doi.org/10.1142/s1756973715500079.

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The head penetration nozzle of control rod driving mechanism (CRDM) is known to be susceptible to primary water stress corrosion cracking (PWSCC) due to the welding-induced residual stress. Especially, the J-groove dissimilar metal weld regions have received many attentions in the previous studies. However, even though several advanced techniques such as weight function and finite element alternating methods have been introduced to predict the occurrence of PWSCC, there are still difficulties in respect of applicability and efficiency. In this study, the extended finite element method (XFEM),

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Doškář, Martin, Jan Novák, and Jan Zeman. "SYNTHESIZED ENRICHMENT FUNCTIONS FOR EXTENDED FINITE ELEMENT ANALYSES WITH FULLY RESOLVED MICROSTRUCTURE." Acta Polytechnica CTU Proceedings 13 (November 13, 2017): 29. http://dx.doi.org/10.14311/app.2017.13.0029.

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Inspired by the first order numerical homogenization, we present a method for extracting continuous fluctuation fields from the Wang tile based compression of a material microstructure. The fluctuation fields are then used as enrichment basis in Extended Finite Element Method (XFEM) to reduce number of unknowns in problems with fully resolved microstructural geometry synthesized by means of the tiling concept. In addition, the XFEM basis functions are taken as reduced modes of a detailed discretization in order to circumvent the need for non-standard numerical quadratures. The methodology is i

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Taj, Ali I., and Alaa H. Al-Zuhairi. "Behavior of Plain Concrete Beam Analyzed Using Extended Finite Element Method." Association of Arab Universities Journal of Engineering Sciences 26, no. 1 (2019): 121–28. http://dx.doi.org/10.33261/jaaru.2019.26.1.016.

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In this study, plain concrete simply supported beams subjected to two points loading were analyzed for the flexure. The numerical model of the beam was constructed in the meso-scale representation of concrete as a two phasic material (aggregate, and mortar). The fracture process of the concrete beams under loading was investigated in the laboratory as well as by the numerical models. The Extended Finite Element Method (XFEM) was employed for the treatment of the discontinuities that appeared during the fracture process in concrete. Finite element method with the feature standard/explicitlywas

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Campilho, Raul D. S. G., Arnaldo M. G. Pinto, Mariana D. Banea, Filipe J. P. Chaves, and Lucas F. M. da Silva. "Feasibility of the Extended Finite Element Method for the Simulation of Composite Bonded Joints." Materials Science Forum 730-732 (November 2012): 513–18. http://dx.doi.org/10.4028/www.scientific.net/msf.730-732.513.

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Adhesive-bonding for the unions in multi-component structures is gaining momentum over welding, riveting and fastening. It is vital for the design of bonded structures the availability of accurate damage models, to minimize design costs and time to market. Cohesive Zone Models (CZM’s) have been used for fracture prediction in structures. The eXtended Finite Element Method (XFEM) is a recent improvement of the Finite Element Method (FEM) that relies on traction-separation laws similar to those of CZM’s but it allows the growth of discontinuities within bulk solids along an arbitrary path, by en

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Schmidt, Patrick, D. M. Pedroso, Hans Mühlhaus, and Alexander Scheuermann. "Assessment of a Method to Model 2D Discontinuities with Enriched Finite Elements and Level Sets." Applied Mechanics and Materials 846 (July 2016): 391–96. http://dx.doi.org/10.4028/www.scientific.net/amm.846.391.

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The computational treatment of discontinuities within the framework of the finite element method (FEM) is a requirement for simulations of fracturing of solids and has become a challenging topic in computational mechanics. Particularly popular amongst the advanced schemes is the extended finite element method (XFEM) which is based on enrichment of shape functions and falls within the framework of the partition of unity method. Because there is no simple way to track the interface of discontinuities, the computer implementation of the XFEM is not as straightforward as the FEM. One method to sol

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Lateef, Hanadi, Rafil Laftah, and Nabeel Jasim. "Study on the Shear Failure of Reinforced Concrete Beams Using Extended Finite Element Method (XFEM)." Basrah journal for engineering science 21, no. 3 (2021): 55–65. http://dx.doi.org/10.33971/bjes.21.3.7.

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This research concerns with the fracture behavior of reinforced concrete beams without shear reinforcement numerically. The software ABAQUS is adapted to simulate the crack propagation using the eXtended Finite Element Method (XFEM), taking into account materials nonlinearities using concrete damage plasticity CDP criteria. XFEM is used to solve the discontinuity problems in the simulation. The maximum principal stress failure criterion is selected for damage initiation, and an energy-based damage evolution law based on a model-independent fracture criterion is selected for damage propagation.

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Purba, Muhammad Rafi, Tulus Tulus, M. R. Syahputra, and Sawaluddin Sawaluddin. "IMPLEMENTATION OF EXTENDED FINITE ELEMENT METHOD IN CRACK PROPAGATION OF CONCRETE." Journal of Fundamental Mathematics and Applications (JFMA) 5, no. 1 (2022): 1–8. http://dx.doi.org/10.14710/jfma.v5i1.14454.

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The Extended Finite Element Method is a numerical solution based on the Finite Element Method (FEM) XFEM has really become a very important generalization of classical finite element techniques, by establishing a mesh independent generalization of classical finite elements to reduce the mesh-dependent shortcomings of the solution. The application of XFEM in crack simulation should improve the modeling of the crack tip environment and also apply to generalized advanced global failure criteria, which is specifically designed to deal with problems in the engineering field Such as the fracture beh

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Meor Ahmad, Meor Iqram, Mohd Anas Mohd Sabri, Mohd Faizal Mat Tahir, and Nur Azam Abdullah. "Predictive Modelling of Creep Crack Initiation and Growth using Extended Finite Element Method (XFEM)." Frattura ed Integrità Strutturale 16, no. 61 (2022): 119–29. http://dx.doi.org/10.3221/igf-esis.61.08.

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In this study, a numerical strategy for predictive modelling of creep in tension tests for the rectangular plate with a single crack and CT-specimen based on the extended finite element method (XFEM) will be described in detail. A model of creep fracture initiation and creep crack growth (CCG) is developed, while the XFEM is employed to spots located inside the finite element for the purpose of predicting crack potential and propagation. In order to characterize the creep fracture initiation, identification of C(t)-integral formula is conducted. In addition, XFEM and analytical solutions are a

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Sima, Yu Zhou, and Fu Zhou Wang. "Analysis of Multi-Crack Growth in Asphalt Pavement Based on Extended Finite Element Method." Advanced Materials Research 588-589 (November 2012): 1926–29. http://dx.doi.org/10.4028/www.scientific.net/amr.588-589.1926.

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An extended finite element method (XFEM) for multiple crack growth in asphalt pavement is described. A discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the finite element approximation to account for the crack using the notion of partition of unity. This enables the domain to be modeled by finite element with no explicit meshing of the crack surfaces. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed. Finally, the propagation path of the cracks in

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Yu, Tian Tang, and Lu Yang Shi. "On XFEM Applications to Crack Surface under External Force." Applied Mechanics and Materials 152-154 (January 2012): 210–15. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.210.

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The extended finite element method is applied to modeling growth of arbitrary crack with crack surface tractions. Firstly, the extended finite element method is investigated for the stress intensity factor solution of surface traction problems. Secondly, for different water pressure acting on the crack surfaces and different crack length, the variation of the stress intensity factors is investigated. Finally, the process of hydraulic fracturing is simulated with the method. Numerical simulations illustrate that the method can effectively model the fracture problems with surface tractions.

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Chen, Zhanglan, Jianmin Liu, and Haijun Qiu. "Solidification Crack Evolution in High-Strength Steel Welding Using the Extended Finite Element Method." Materials 13, no. 2 (2020): 483. http://dx.doi.org/10.3390/ma13020483.

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High-strength steel suffers from an increasing susceptibility to solidification cracking in welding due to increasing carbon equivalents. However, the cracking mechanism is not fully clear for a confidently completely crack-free welding process. To present a full, direct knowledge of fracture behavior in high-strength steel welding, a three-dimensional (3-D) modeling method is developed using the extended finite element method (XFEM). The XFEM model and fracture loads are linked with the full model and the output of the thermo-mechanical finite element method (TM-FEM), respectively. Solidifica

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