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Computational Mechanics
Erschienen in: Computational Mechanics 6/2016

01.06.2016 | Original Paper

Numerical integration of discontinuities on arbitrary domains based on moment fitting

verfasst von: Meysam Joulaian, Simeon Hubrich, Alexander Düster

Erschienen in: Computational Mechanics | Ausgabe 6/2016

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Abstract

Discretization methods based on meshes that do not conform to the geometry of the problem under consideration require special treatment when it comes to the integration of finite elements that are broken by the boundary or internal interfaces. To this end, we propose a numerical approach suitable for integrating broken elements with a low number of integration points. In this method, which is based on the moment fitting approach, an individual quadrature rule is set up for each cut element. The approach requires a B-rep representation of the broken element, which can be either achieved by processing a triangulated surface obtained from a CAD software or by taking advantage of a voxel model resulting from computed tomography. The numerical examples presented in this paper reveal that the proposed method delivers for a wide variety of geometrical situations very accurate results and requires a rather low number of integration points.
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Nächster Artikel An approach to directional drilling simulation: finite element and finite segment methods with contact

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Fußnoten
1
The STL format is frequently applied in rapid prototyping, and it is used to interact with stereo-lithography machines.
 
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Metadaten
Titel
Numerical integration of discontinuities on arbitrary domains based on moment fitting
verfasst von
Meysam Joulaian
Simeon Hubrich
Alexander Düster
Publikationsdatum
01.06.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2016
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-016-1273-3

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