A simple method for crack growth in mixed mode with X-FEM

Geniaut, Samuel; Galenne, Erwan

doi:10.1016/j.ijsolstr.2012.04.015

Cited by 48 publications

(18 citation statements)

References 42 publications

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“…The experiment was designed so that small variations of the sample geometry and loading would lead to large changes in crack path, and is therefore a good test when estimating a method's ability to identify crack path [60,48,13,32]. The sample geometry and its loading are shown in Figure 7, the material properties in Table 3, and the location and length of the initial crack in two different configurations in specific values of the location of the top, middle and bottom holes (indicated respectively by T, M, and B) in Table 4.…”

Section: A Three-point Bending Experimentsmentioning

confidence: 99%

Validation simulations for the variational approach to fracture

Mesgarnejad

Bourdin

Khonsari

2015

Computer Methods in Applied Mechanics and Engineering

174

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Section: A Three-point Bending Experimentsmentioning

confidence: 99%

Validation simulations for the variational approach to fracture

Mesgarnejad

Bourdin

Khonsari

2015

Computer Methods in Applied Mechanics and Engineering

174

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“…The discontinuity path of the proposed numerical model is compared with the experimental cracking pattern and with the discontinuity path computed by other authors [43][44][45][46][47]. These results are shown in Figure 10, considering three different meshes of the proposed model ( Table 2).…”

Section: Example 2: Three-point Beam With Notch and Three Holesmentioning

confidence: 94%

“…Each case is simulated with three finite element meshes with different element size as indicated in Table 2. This problem has been experimentally tested by Ingraffea and Grigoriu [40] and numerically modeled by others authors [42][43][44][45][46].…”

Section: Example 2: Three-point Beam With Notch and Three Holesmentioning

confidence: 99%

Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method

Avendaño

Garzón‐Alvarado

Linero

et al. 2017

Mathematical Problems in Engineering

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This paper presents the formulation, implementation, and validation of a simplified qualitative model to determine the crack path of solids considering static loads, infinitesimal strain, and plane stress condition. This model is based on finite element method with a special meshing technique, where nonlinear link elements are included between the faces of the linear triangular elements. The stiffness loss of some link elements represents the crack opening. Three experimental tests of bending beams are simulated, where the cracking pattern calculated with the proposed numerical model is similar to experimental result. The advantages of the proposed model compared to discrete crack approaches with interface elements can be the implementation simplicity, the numerical stability, and the very low computational cost. The simulation with greater values of the initial stiffness of the link elements does not affect the discontinuity path and the stability of the numerical solution. The exploded mesh procedure presented in this model avoids a complex nonlinear analysis and regenerative or adaptive meshes.

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“…Note that a geometrical (fixed area) enrichment can also be done. The expressions of the function F  , α = 1.4, are the following [3]:…”

Section: Basics Of Level Set Methods and X-femmentioning

confidence: 99%

Modelling 3D crack propagation in ageing graphite bricks of Advanced Gas-cooled Reactor power plant

Vo¹,

Martinuzzi²,

Tran³

et al. 2015

Frattura Ed Integrità Strutturale

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ABSTRACT. In this paper, crack propagation in Advanced Gas-cooled Reactor (AGR) graphite bricks with ageing properties is studied using the eXtended Finite Element Method (X-FEM). A parametric study for crack propagation, including the influence of different initial crack shapes and propagation criteria, is conducted. The results obtained in the benchmark study show that the crack paths from X-FEM are similar to the experimental ones. The accuracy of the strain energy release rate computation in a heterogeneous material is also evaluated using a finite difference approach. Planar and non-planar 3D crack growth simulations are presented to demonstrate the robustness and the versatility of the method utilized. Finally, this work contributes to the better understanding of crack propagation behaviour in AGR graphite bricks and so contributes to the extension of the AGR plants' lifetimes in the UK by reducing uncertainties.

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A simple method for crack growth in mixed mode with X-FEM

Cited by 48 publications

References 42 publications

Validation simulations for the variational approach to fracture

Validation simulations for the variational approach to fracture

Simplified Qualitative Discrete Numerical Model to Determine Cracking Pattern in Brittle Materials by Means of Finite Element Method

Modelling 3D crack propagation in ageing graphite bricks of Advanced Gas-cooled Reactor power plant

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