Combination of the material force concept and the extended finite element method for mixed mode crack growth simulations

Häusler, Sascha Marc; Lindhorst, K.; Horst, Peter

doi:10.1002/nme.3031

Cited by 10 publications

(5 citation statements)

References 34 publications

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“…One must mention that, in Case 1, the crack does not hit the second hole as it seems to be the case experimentally. In practice, the second hole is avoided by the crack in most simulations that the authors found in the wide literature studying this classical benchmark [39,19,20,14].…”

Section: Curvilinear Crack Propagation Simulation: Ingraffea and Grigmentioning

confidence: 99%

Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver

et al. 2013

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A Local/Global non-intrusive coupling algorithm is proposed for the analysis of mixed-mode crack propagation. It is based on a three scale multigrid and extended finite element method, that was proposed recently for the direct estimation of stress intensity factors of static cracks. The algorithm couples a linear elastic global model (possibly performed by a industrial software) with an enhanced local model capable of modeling a crack and accurately estimating SIFs (performed by a separate research code). It is said non-intrusive since it does not modify the global mesh, its connectivity and solver. For the global model, the contribution of the local patch consists in additional nodal efforts near the crack, which makes it compatible with most softwares. Further the shape of the domain over which the local model is applied is automatically adapted during propagation.Keywords nested models · mixed mode · localized multigrid · williams · stress intensity factors 1 IntroductionThe question of the inclusion of a crack and its propagation in a finite element model initially not expected for this, is a question which is still today the subject of numerous

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Section: Curvilinear Crack Propagation Simulation: Ingraffea and Grigmentioning

confidence: 99%

Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver

et al. 2013

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“…A plate with three eccentric holes under three‐point bending, following Bittencourt et al , is considered. This test case is also considered, for example, in in two dimensions and in in three dimensions. Experimental data is found in .…”

Section: Numerical Resultsmentioning

confidence: 99%

Crack propagation with the extended finite element method and a hybrid explicit–implicit crack description

Fries

Baydoun

2011

Numerical Meth Engineering

122

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SUMMARYA method for two-dimensional and three-dimensional crack propagation that combines the advantages of explicit and implicit crack descriptions is presented. An implicit description in the frame of the level set method is advantageous for the simulation within the extended finite element method (XFEM). The XFEM has proven its potential in fracture mechanics as it provides accurate solutions without any remeshing during the crack simulation. On the other hand, an explicit representation of the crack, for example, by means of a polyhedron, enables a simple update of the crack during the propagation. A key aspect in the proposed method is the introduction of three level set functions that are computed exactly from the explicit representation. These functions imply a coordinate system at the crack front and serve as a basis for the enrichment. Furthermore, a simple model for the crack propagation is presented. One of the biggest achievements of the proposed method is that two-dimensional and three-dimensional crack simulations are treated in a consistent manner. That is, the extension from two to three dimensions is truly straightforward.

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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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Combination of the material force concept and the extended finite element method for mixed mode crack growth simulations

Cited by 10 publications

References 34 publications

Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver

Local/global non-intrusive crack propagation simulation using a multigrid X-FEM solver

Crack propagation with the extended finite element method and a hybrid explicit–implicit crack description

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

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