An XFEM/Spectral element method for dynamic crack propagation

Liu, Z. L.; Menouillard, Thomas; Belytschko, Ted

doi:10.1007/s10704-011-9593-y

Cited by 67 publications

(33 citation statements)

References 41 publications

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“…This problem has an analytical solution for the stress intensity factor for both stationary and (Liu et al 2011), though here we focus on the stationary case. As given by Liu et al (2011), the stress intensity factor for this geometry can be stated as…”

Section: Stress Intensity Comparisonmentioning

confidence: 99%

A finite difference-augmented peridynamics method for reducing wave dispersion

Wildman

Gazonas

2014

Int J Fract

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A method is presented for the modeling of brittle elastic fracture which combines peridynamics and a finite difference method to mitigate the wave dispersion properties of peridynamics. Essentially, a finite difference method is used in the bulk for wave propagation modeling, while peridynamics is automatically inserted in high strain areas to model crack initiation and growth. The dispersion properties of finite difference methods and discretized peridynamics are reviewed and the interface reflection properties between the two regions are investigated. Results show that the augmented method can improve the modeling of wave propagation and boundary conditions. In addition, the numerical stress intensity factor computed at a crack tip shows reduced oscillations in the augmented method, likely due to the improved dispersion properties of the bulk. Dynamic fracture simulations show a difference in crack paths between the methods.

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Section: Stress Intensity Comparisonmentioning

confidence: 99%

A finite difference-augmented peridynamics method for reducing wave dispersion

Wildman

Gazonas

2014

Int J Fract

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“…It uses discontinuous equations to simulate crack domains independent of mesh geometry. The XFEM has been widely used to simulate crack initiation and propagation without any remeshing of the crack geometry for a variety of mechanical engineering problems from dynamic fracture to composite analysis …”

Section: Introductionmentioning

confidence: 99%

“…The XFEM has been widely used to simulate crack initiation and propagation without any remeshing of the crack geometry for a variety of mechanical engineering problems from dynamic fracture to composite analysis. [4][5][6] Lee et al analysed PWSCC growth under weld residual stresses encountered in the reported incidents. 7 They also expanded the utility of the empirical equation from Alloy 600 to Alloy 690.…”

Section: Introductionmentioning

confidence: 99%

An extended finite element method‐based representative model for primary water stress corrosion cracking of a control rod driving mechanism penetration nozzle

Lee

Kang

Choi

et al. 2017

Fatigue Fract Eng Mat Struct

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Primary water stress corrosion cracking incidents have been reported in nuclear reactors over the past several decades. Garud et al developed an empirical equation to express primary water stress corrosion cracking (PWSCC) initiation time by using experimental data. This strain rate damage model has been used in multiple simulation studies. Some of these studies used the extended finite element method (XFEM) to simulate the PWSCC propagation in Alloy 600. However, several studies showed that the accuracy of XFEM depends on the mesh quality. Different mesh qualities can change the heat flux of a welding procedure, leading to different weld residual stresses. We performed a parametric study on PWSCC initiation and propagation of a control rod driving mechanism by using different mesh qualities.The major variables explored here are number of elements per bead, number of circumferential elements, and number of weld beads. Finally, an XFEM-based representative model was suggested for PWSCC initiation and propagation simulation.

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“…The extended FEM (XFEM) [12] and meshless methods [13] using nodal enrichment techniques, which can model crack propagation without remeshing, have been proposed more recently as alternatives to tackle the difficulties faced by the FEM in crack propagation modelling. Serious crack propagation problems both in statics and dynamics have been solved with these two methods [14][15][16][17]. However, fine meshes (in the case of XFEM) and fine nodal distributions (in the case of meshless methods), are still needed, especially when the crack paths are unknown in advance [18].…”

Section: Introductionmentioning

confidence: 99%

A fully automatic polygon scaled boundary finite element method for modelling crack propagation

Dai

Augarde

et al. 2015

Engineering Fracture Mechanics

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2015) 'A fully automatic polygon scaled boundary nite element method for modelling crack propagation.', Engineering fracture mechanics., 133 . pp. 163-178. Further information on publisher's website:http://dx.doi.org/10.1016/j.engfracmech.2014.11.011Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Engineering Fracture Mechanics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reected in this document. Changes may have been made to this work since it was submitted for publication. A denitive version was subsequently published in Engineering Fracture Mechanics, 133, January 2015, 10.1016/j.engfracmech.2014.11.011. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details.

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An XFEM/Spectral element method for dynamic crack propagation

Cited by 67 publications

References 41 publications

A finite difference-augmented peridynamics method for reducing wave dispersion

A finite difference-augmented peridynamics method for reducing wave dispersion

An extended finite element method‐based representative model for primary water stress corrosion cracking of a control rod driving mechanism penetration nozzle

A fully automatic polygon scaled boundary finite element method for modelling crack propagation

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