Crack propagation criteria in three dimensions using the XFEM and an explicit–implicit crack description

Baydoun, Malak; Fries, Thomas‐Peter

doi:10.1007/s10704-012-9762-7

Cited by 64 publications

(19 citation statements)

References 38 publications

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“…However, as previously noticed in the literature [31,34,10,37], we also observed that the crack path is very sensitive to small changes in geometry and loading, or to changes in the regularization parameter . Figure 19 shows changes in the final fracture geometry (isovolume renderings of the fracture field 0.9 ≤ α ≤ 1.0) and the final deformed geometry for three different values of .…”

Section: The Brokenshire Torsion Experimentssupporting

confidence: 85%

“…We finally focussed our attention on a fully three-dimensional problem initially presented in [24] and previously investigated in a number of articles [31,34,10,37]. The Brokenshire test consists of a specimen with a 45 • oblique notch subject to a torsional load (see Figure 17 for a schematic description of the domain geometry).…”

Section: The Brokenshire Torsion Experimentsmentioning

confidence: 99%

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Validation simulations for the variational approach to fracture

Mesgarnejad

Bourdin

Khonsari

2015

Computer Methods in Applied Mechanics and Engineering

163

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Section: The Brokenshire Torsion Experimentssupporting

confidence: 85%

Section: The Brokenshire Torsion Experimentsmentioning

confidence: 99%

Validation simulations for the variational approach to fracture

Mesgarnejad

Bourdin

Khonsari

2015

Computer Methods in Applied Mechanics and Engineering

163

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“…The use of enrichment functions was accordingly taken into account with meshless methods [5], isogeometric analysis (IGA) [6]. In regard to the application in fracture mechanics, XFEM has been successfully employed in modeling crack propagation [7][8][9], cohesive fracture [10,11], cracks with multiple branches [3,12], three dimensional crack growth [13,14], etc. With the two-dimensional analysis of XFEM, a domain is divided into non-overlapping subdomains, which are normally comprised of triangular or quadrilateral elements.…”

Section: Introductionmentioning

confidence: 99%

An extended polygonal finite element method for large deformation fracture analysis

Huynh

Tran

Zhuang

et al. 2019

Engineering Fracture Mechanics

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The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of cracks. This paper further investigates the extended finite element method (XFEM) for the simulation of large strain fracture for hyper-elastic materials, in particular rubber ones. A crucial idea is to use a polygonal mesh to represent space of the present numerical technique in advance, and then a local refinement of structured meshes at the vicinity of the discontinuities is additionally established. Due to differences in the size and type of elements at the boundaries of those two regions, hanging nodes produced in the modified mesh are considered as normal nodes in an arbitrarily polygonal element. Conforming these special elements becomes straightforward by the flexible use of basis functions over polygonal elements. Results of this study are shown through several numerical examples to prove its efficiency and accuracy through comparison with former achievements.

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“…Sukumar uses the XFEM and the fast stepping method to simulate the 3D fatigue crack propagation, and uses the fast stepping method and the Paris formula to simulate the crack tip movement [3]. Baydoun studies of the reliability of different crack propagation criterion under the XFEM and 3D fracture mechanics method, concludes that the maximum energy release rate criterion and the maximum circumferential tensile stress criterion can be used to accurately describe the crack propagation process [4,5]. Baietto combines the experimental results and the XFEM to simulate 2D and 3D contact fatigue crack growth [6].…”

Section: Introductionmentioning

confidence: 99%

Study on Contact Fatigue Crack Propagation Behavior of Cr7C3 Coatings

Cui¹,

Feng²,

Lan³

2017

Proceedings of the Advances in Materials, Machinery, Electrical Engineering (AMMEE 2017)

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Abstract. In this paper, the contact fatigue crack propagation behavior of Cr7C3 coatings was studied by means of extended finite element method and linear elastic fracture mechanics. The contact fatigue model of simplified geometric model was established by commercial software ABAQUS. The influence of the thickness of coatings, the elastic modulus of the coatings, the elastic modulus ratio of the coatings and the substrate on the contact fatigue life of the coatings was studied. The optimal coatings design parameters were obtained. IntroductionA Positive continuous engagement (PCE) overrunning clutch is the essential component of helicopter transmission system. It is a critical element to ensure the correct combination and disengaged of the main reducer from the engine. A PCE overrunning clutch is composed of wedges, cages and a spring. Its function is to transfer the torque of the output shaft of the engine to the input shaft of the main reducer. Using chemical vapor deposition (CVD) method to plate Cr7C3 coatings on the surface of wedges aims to reduce the wear of wedges. During the flight of helicopter, we found that the actual life of the coatings is much less than the design life of the coatings.According to the stress analysis, it can be seen that the wedges are subjected to cyclic normal pressure and alternating tangential sliding friction force. The surface of the coatings was observed by scanning electron microscope (SEM). After the analysis, it can be concluded that the mechanism of the fatigue spallation of Cr7C3 coatings is as follows. At first, the distribution of shear stress in the coatings will occur under the action of alternating contact load. The location of the maximum shear stress is the weak position of the coatings, and the micro cracks or micro defects at this location are the sources of fatigue crack initiation. Then, the cracks will extend in the direction of 45 degrees under the maximum shear stress. In the process of crack propagation, the crack is fused with other micro cracks, and finally extends to the coatings' surface. Finally, the coatings spalled under the action of the surface force.In order to improve the fatigue life of the coatings, the influence of coatings parameters on the crack propagation behavior of the coatings is studied. Extended finite element method (XFEM) can simulate crack propagation effectively [1,2]. Sukumar uses the XFEM and the fast stepping method to simulate the 3D fatigue crack propagation, and uses the fast stepping method and the Paris formula to simulate the crack tip movement [3]. Baydoun studies of the reliability of different crack propagation criterion under the XFEM and 3D fracture mechanics method, concludes that the maximum energy release rate criterion and the maximum circumferential tensile stress criterion can be used to accurately describe the crack propagation process [4,5]. Baietto combines the experimental results and the XFEM to simulate 2D and 3D contact fatigue crack growth [6].In this paper, the XFEM in ABAQUS and Paris formula are...

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Crack propagation criteria in three dimensions using the XFEM and an explicit–implicit crack description

Cited by 64 publications

References 38 publications

Validation simulations for the variational approach to fracture

Validation simulations for the variational approach to fracture

An extended polygonal finite element method for large deformation fracture analysis

Study on Contact Fatigue Crack Propagation Behavior of Cr7C3 Coatings

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