On advancing front mesh generation in three dimensions

Möller, Peter; Hansbo, Peter

doi:10.1002/nme.1620382102

Cited by 74 publications

(31 citation statements)

References 16 publications

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“…The proposed algorithm incorporates well-known meshing procedures [16][17][18][19][20][21][22] and introduces some original steps. It includes an advancing front technique along with a quadtree procedure to develop local guidelines for the generated elements' size, taking special care to generate elements with the best possible shape during the advancing front.…”

Section: Finite-element Mesh Generationmentioning

confidence: 99%

Fatigue life and crack path predictions in generic 2D structural components

Miranda

Meggiolaro

Castro

et al. 2003

Engineering Fracture Mechanics

128

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This paper proposes a reliable and cost-effective two-phase methodology to predict crack propagation life in generic two-dimensional (2D) structural components. First, the usually curved fatigue crack path and its stress-intensity factors are calculated at small crack increments in a specialized finite-element software, using automatic remeshing algorithms, special crack tip elements and appropriate crack increment criteria. Then, the computed stress-intensity factors are transferred to a powerful general-purpose fatigue-design program, which has been designed to predict both initiation and propagation fatigue lives by means of classical design methods. Particularly, its crack propagation module accepts any K I expression and any crack growth rate model, considering sequence effects such as overload-induced crack retardation to deal with 1D and 2D crack propagation under variable amplitude loading. Non-trivial application examples compare the numerical simulation results with those measured in physical experiments.

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Section: Finite-element Mesh Generationmentioning

confidence: 99%

Fatigue life and crack path predictions in generic 2D structural components

Miranda

Meggiolaro

Castro

et al. 2003

Engineering Fracture Mechanics

128

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“…A straightforward way to resolve this problem is to decrease the tolerances used in geometry checks, but it seems that this approach still cannot guarantee that the algorithm can always succeed in creating a new element when ill-shaped facets occur during the process of mesh generation. It was suggested that this obstacle could be overcome by modifying the mesh generation front, and a method was given [6]. However, one may experience that an ill-shaped facet will recur at the location where the last ill-shaped facet is deleted by the front modification since the adjacent facets of the last ill-shaped facet sometimes result in a new ill-shaped facet.…”

Section: Modification Of the Local Mesh Generation Frontmentioning

confidence: 98%

Advances in tetrahedral mesh generation for modelling of three‐dimensional regions with complex, curvilinear crack shapes

Zuo¹,

Deng²,

Sutton³

2005

Numerical Meth Engineering

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SUMMARYAdvances in tetrahedral mesh generation for general, three-dimensional domains with and without cracks are described and validated through extensive studies using a wide range of global geometries and local crack shapes. Automated methods are described for (a) implementing geometrical measures in the vicinity of the crack to identify irregularities and to improve mesh quality and (b) robust node selection on crack surfaces to ensure optimal meshing both locally and globally. The resulting numerical algorithms identify both node coincidence and also local crack surface penetration due to discretization of curved crack surfaces, providing a proven approach for removing inconsistencies. Numerical examples using the resulting 3D mesh generation program to mesh complex 3D domains containing a range of crack shapes and sizes are presented. Quantitative measures of mesh quality clearly show that the element shape and size distributions are excellent, including in regions surrounding crack fronts.

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“…Alternatively, we could use an advancing fronts method which would build the tetrahedralization out from the boundary. As mentioned, the former approach will often have problems with sliver tetrahedra even after Delaunay refinement, unless the boundary satisfies a set of strict conditions [3,19] limiting the practical applications of this approach, and the latter tends to produce some bad tetrahedra around areas where the front collides on itself [16]. These problems are compounded if the boundary mesh has poorly shaped triangles.…”

Section: Related Workmentioning

confidence: 99%

Tetrahedral Mesh Improvement Using Multi-face Retriangulation

Misztal

Bærentzen

Anton

et al. 2009

Proceedings of the 18th International Meshing Roundtable

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Summary. In this paper we propose a simple technique for tetrahedral mesh improvement without inserting Steiner vertices, concentrating mainly on boundary conforming meshes. The algorithm makes local changes to the mesh to remove tetrahedra which are poor according to some quality criterion. While the algorithm is completely general with regard to quality criterion, we target improvement of the dihedral angle. The central idea in our algorithm is the introduction of a new local operation called multi-face retriangulation (MFRT) which supplements other known local operations. Like in many previous papers on tetrahedral mesh improvement, our algorithm makes local changes to the mesh to reduce an energy measure which reflects the quality criterion. The addition of our new local operation allows us to advance the mesh to a lower energy state in cases where no other local change would lead to a reduction. We also make use of the edge collapse operation in order to reduce the size of the mesh while improving its quality. With these operations, we demonstrate that it is possible to obtain a significantly greater improvement to the worst dihedral angles than using the operations from the previous works, while keeping the mesh complexity as low as possible.

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On advancing front mesh generation in three dimensions

Cited by 74 publications

References 16 publications

Fatigue life and crack path predictions in generic 2D structural components

Fatigue life and crack path predictions in generic 2D structural components

Advances in tetrahedral mesh generation for modelling of three‐dimensional regions with complex, curvilinear crack shapes

Tetrahedral Mesh Improvement Using Multi-face Retriangulation

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