A 3D automatic mesh refinement X-FEM approach for fatigue crack propagation

Gibert, G.; Prabel, Benoit; Gravouil, Anthony; Jacquemoud, Clémentine

doi:10.1016/j.finel.2019.01.008

Cited by 18 publications

(13 citation statements)

References 51 publications

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“…Conversely, the XFEM combined with a hierarchical mesh refinement is found to be a very easy way to perform the present parametric study at the condition to elaborate the numerical model rigorously. In parallel to the present work, such an approach has been followed to compute mixed-mode crack propagation in Gibert et al (2019). The procedure describes hereafter has been implemented in Cast3M CEA (French Atomic Commission) (2017) software and tends to prove its efficiency.…”

Section: Resultsmentioning

confidence: 99%

Mode I+III multiscale cohesive zone model with facet coarsening and overlap: Solutions and applications to facet orientation and toughening

Lazarus

Prabel

Cambonie

et al. 2020

Journal of the Mechanics and Physics of Solids

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When subjected to some anti-plane shear mode III loading, segmentation of the crack front frequently occurs during propagation: even if the crack is initially planar, propagation produces facets/segments rotated toward the shear free direction. These facets induce some modifications in the local loading of the crack tips that can be captured through the multi-scale cohesive zone model proposed by Leblond et al., 2015. Assuming that the width of the facets is small in comparison to their length, the facets can be considered at the microscale, as a bidimensional periodic array of tilted cracks perpendicularly to the direction of propagation, and at the macroscale, as a growing Cohesive Zone. The model was developed initially supposing a constant period, small tilt angles and non-overlapping facets. The first aim of this paper is to relax these assumptions to deal with more realistic cases. For this, the microscale problem is solved using XFEM and the outputs are further incorporated into the model to get some results on the macroscale, in particular the effective fracture energy. The second objective is to introduce some experiments to show the relevance of the assumptions made and to demonstrate the ability of the approach (i) to determine the inclination of the facets and (ii) to quantify, in both fatigue and brittle fracture, the toughening due to the decrease of the crack opening driven by the unbroken ligaments between the facets.

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Section: Resultsmentioning

confidence: 99%

Mode I+III multiscale cohesive zone model with facet coarsening and overlap: Solutions and applications to facet orientation and toughening

Lazarus

Prabel

Cambonie

et al. 2020

Journal of the Mechanics and Physics of Solids

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“…The method is efficient in that the added DOF required to capture the crack path are negligible. Other mesh refinement-derefinement adaptivity methods to capture crack paths also exist, as shown by Gilbert et al, 53 however there are several key differences. First Gilbert et al's method is applied to XFEM where the mesh is h-adapted so that the Heaviside function can capture the crack path rather than aligning element edges with the crack path.…”

Section: Introductionmentioning

confidence: 99%

Adaptive configurational force‐based propagation for brittle and fatigue crack analysis

Bird

Coombs

2022

Numerical Meth Engineering

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This article presents a hpr-adaptive crack propagation method for highly accurate 2D crack propagation paths which requires no a priori knowledge of the tip solution. The propagation method is designed to be simple to implement, only hr-adaptivity is required, with the propagation step size independent of the initial mesh allowing users to obtain high fidelity crack path predictions for domains containing multiple cracks propagating at different rates. The proposed method also includes a crack path derefinement scheme, where elements away from the crack tip are derefined whilst elements close to the crack tip are small so capture the fidelity of the crack path. The result is that the propagation of cracks over an increasingly larger distances has negligible increased computational effort and effect on the propagation path prediction. The linear elastic problem is solved using the hp discontinuous Galerkin symmetric interior penalty finite element method, which is post-processed to obtain the configurational force at each tip to a user defined accuracy. Several numerical examples are used to demonstrate the accuracy, efficiency, and capability of the method. Due to the method's high accuracy crack path solutions of benchmark problems that are prolifically used in the literature are challenged.

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“…Compared with the element deletion method, crack paths based on the XFEM method could be less mesh-dependent [ 20 , 24 , 26 , 27 , 28 ], and the conservation of mass could be preserved [ 28 , 29 ]. Research combining XFEM with local mesh refinement were also proved to be effective [ 4 , 30 ]. Remeshing techniques are usually applied to rebuild local meshes around the crack tip [ 31 , 32 , 33 , 34 , 35 ], leading to very precise results regarding the crack initiation and propagation.…”

Section: Introductionmentioning

confidence: 99%

Combining H-Adaptivity with the Element Splitting Method for Crack Simulation in Large Structures

et al. 2021

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H-adaptivity is an effective tool to introduce local mesh refinement in the FEM-based numerical simulation of crack propagation. The implementation of h-adaptivity could benefit the numerical simulation of fatigue or accidental load scenarios involving large structures, such as ship hulls. Meanwhile, in engineering applications, the element deletion method is frequently used to represent cracks. However, the element deletion method has some drawbacks, such as strong mesh dependency and loss of mass or energy. In order to mitigate this problem, the element splitting method could be applied. In this study, a numerical method called ‘h-adaptive element splitting’ (h-AES) is introduced. The h-AES method is applied in FEM programs by combining h-adaptivity with the element splitting method. Two examples using the h-AES method to simulate cracks in large structures under linear-elastic fracture mechanics scenario are presented. The numerical results are verified against analytical solutions. Based on the examples, the h-AES method is proven to be able to introduce mesh refinement in large-scale numerical models that mostly consist of structured coarse meshes, which is also beneficial to the reduction of computational resources. By employing the h-AES method, very small cracks are well represented in large structures without any deletions of elements.

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A 3D automatic mesh refinement X-FEM approach for fatigue crack propagation

Cited by 18 publications

References 51 publications

Mode I+III multiscale cohesive zone model with facet coarsening and overlap: Solutions and applications to facet orientation and toughening

Mode I+III multiscale cohesive zone model with facet coarsening and overlap: Solutions and applications to facet orientation and toughening

Adaptive configurational force‐based propagation for brittle and fatigue crack analysis

Combining H-Adaptivity with the Element Splitting Method for Crack Simulation in Large Structures

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