Variational Tetrahedral Meshing of Mechanical Models for Finite Element Analysis

Smit, M. Sypkens; Bronsvoort, Willem F.

doi:10.3722/cadaps.2008.228-240

Cited by 8 publications

(13 citation statements)

References 10 publications

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“…All other tetrahedrons are outside and thus removed. A more concise description and motivation of this procedure is given in [11].…”

Section: Mesh Extractionmentioning

confidence: 99%

“…Splitting such a node into two nodes, helps in ensuring that the final mesh represents the boundary correctly. For a more detailed motivation, see [11].…”

Section: Node Optimisationmentioning

confidence: 99%

“…Since this algorithm was not intended for meshing mechanical models for finite element analysis, we have made several enhancements, mainly concerned with the accuracy of the representation of the boundary by the mesh, to make the procedure suitable for this task [11]. Figure 3 illustrates the evolution of a mesh during VTM.…”

Section: Variational Tetrahedral Meshing Of Mechanical Modelsmentioning

confidence: 99%

“…We here summarise the working of the algorithm. For a more detailed treatment, we refer to [10,11]. The VTM algorithm supports mesh grading, but in our remeshing procedure we work with uniformly graded meshes.…”

Section: Variational Tetrahedral Meshing Of Mechanical Modelsmentioning

confidence: 99%

“…Tetrahedral elements are popular largely because they are easy to deal with automatically. Our (re)meshing procedure is based on variational tetrahedral meshing [10,11]. This method generates high-quality meshes by means of an optimisation process that simultaneously takes care of the boundary and the interior of the mesh (see Sect.…”

Section: Introductionmentioning

confidence: 99%

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Efficient tetrahedral remeshing of feature models for finite element analysis

Smit

Bronsvoort

2009

Engineering with Computers

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Finite element analysis is nowadays widely used for product testing. At various moments during the design phase, aspects of the physical behaviour of the product are simulated by performing an analysis of the model. For each analysis, a mesh needs to be created that represents the geometry of the model at that point. In particular during the later stages of the development cycle, often only minor modifications are made to a model between design iterations. In that case it can be beneficial to reuse part of the previous mesh, especially if it was costly to construct. A new method is presented that efficiently constructs a tetrahedral mesh based on a tetrahedral mesh of a feature model at an earlier point of the design cycle. This is done by analysing the difference of the two feature models from the point of view of the individual features. By this means we can find a natural correspondence between the geometries of the feature models, and relate this to the mesh of the earlier model. We discuss the algorithm, gained improvements, quality of the results, and conditions for this method to be effective.

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“…All other tetrahedrons are outside and thus removed. A more concise description and motivation of this procedure is given in [11].…”

Section: Mesh Extractionmentioning

confidence: 99%

“…Splitting such a node into two nodes, helps in ensuring that the final mesh represents the boundary correctly. For a more detailed motivation, see [11].…”

Section: Node Optimisationmentioning

confidence: 99%

Section: Variational Tetrahedral Meshing Of Mechanical Modelsmentioning

confidence: 99%

Section: Variational Tetrahedral Meshing Of Mechanical Modelsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations