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Computational Mechanics
Erschienen in: Computational Mechanics 2/2017

24.10.2016 | Original Paper

Alternative integration algorithms for three-dimensional mortar contact

verfasst von: C. Wilking, M. Bischoff

Erschienen in: Computational Mechanics | Ausgabe 2/2017

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Abstract

In this paper, a new approach is proposed to improve efficiency of the integration procedure for mortar integrals within finite element mortar methods for contact. Appropriate approaches subdivide polygonal integration segments into triangular integration cells where well-established quadrature rules can be applied for numerical integration. Here, a subdivision of segments into quadrilateral integration cells is proposed and investigated in detail. By this procedure, the numerical effort is decreased because the number of integration cells is smaller and less quadrature points are needed. In all the aforementioned methods, necessary projections of integration points result in rational polynomials in the integrand. Thus, an exact numerical integration is impossible. Using quadrilateral integration cells additionally involves non-constant Jacobian determinants which further increases the polynomial degree of the integrand. Numerical experiments indicate, that the resulting increase in the error is small enough to be acceptable in consideration of the gained speed-up.
Vorheriger Artikel Modular-based multiscale modeling on viscoelasticity of polymer nanocomposites
Nächster Artikel Multilevel model reduction for uncertainty quantification in computational structural dynamics

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Metadaten
Titel
Alternative integration algorithms for three-dimensional mortar contact
verfasst von
C. Wilking
M. Bischoff
Publikationsdatum
24.10.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 2/2017
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-016-1345-4

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