Datum
2018Schlagwort
620 Ingenieurwissenschaften Finite-Elemente-MethodeRotation <Drehung>Nichtlineare Finite-Elemente-MethodeDeformation <Mathematik>Metadata
Zur Langanzeige
Konferenzveröffentlichung
The logarithmic finite element method
Zusammenfassung
The Logarithmic finite element (LogFE) method extends the Ritz-Galerkin method to approximations on a non-linear finite-dimensional manifold in the infinitedimensional solution space. Formulating the interpolant on the logarithmic space allows for a novel treatment of the rotational component of the deformation, and induces a strong coupling between rotations and translations. The Logarithmic finite element method provides
a transformation of the initial configuration that is not restricted to an isoparametric formulation.
a transformation of the initial configuration that is not restricted to an isoparametric formulation.
Zitierform
In: Owen, Roger; Borst, René; Reese, Jason; Pearce, Chris (Hrsg.): Proceedings of the 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) - ECCM 6, 7th European Conference on Computational Fluid Dynamics - ECFD 7 : Glasgow, Scotland, UK, June 11-15, 2018. International Center for Numerical Methods in Engineering (CIMNE): Barcelona, Spain 2018, S. ; ISBN 9788494731167Zitieren
@inproceedings{doi:10.17170/kobra-202102173280,
author={Wackerfuß, Jens and Schröppel, Christian},
title={The logarithmic finite element method},
booktitle={Proceedings of the 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) - ECCM 6, 7th European Conference on Computational Fluid Dynamics - ECFD 7 : Glasgow, Scotland, UK, June 11-15, 2018},
year={2018}
}
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2021-02-19T09:44:45Z 2021-02-19T09:44:45Z 2018 doi:10.17170/kobra-202102173280 http://hdl.handle.net/123456789/12532 eng International Center for Numerical Methods in Engineering (CIMNE) Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ Logarithmic finite element method Ritz-Galerkin method Geometrically exact beam Finite rotations Lie group theory 620 The logarithmic finite element method Konferenzveröffentlichung The Logarithmic finite element (LogFE) method extends the Ritz-Galerkin method to approximations on a non-linear finite-dimensional manifold in the infinitedimensional solution space. Formulating the interpolant on the logarithmic space allows for a novel treatment of the rotational component of the deformation, and induces a strong coupling between rotations and translations. The Logarithmic finite element method provides a transformation of the initial configuration that is not restricted to an isoparametric formulation. open access Wackerfuß, Jens Schröppel, Christian 2549-2560 Barcelona, Spain Finite-Elemente-Methode Rotation <Drehung> Nichtlineare Finite-Elemente-Methode Deformation <Mathematik> publishedVersion 2018-06-11/15 Glasgow, Scotland, UK Proceedings of the 6th European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) - ECCM 6, 7th European Conference on Computational Fluid Dynamics - ECFD 7 : Glasgow, Scotland, UK, June 11-15, 2018 Owen, Roger Borst, René Reese, Jason Pearce, Chris ISBN 9788494731167 false European Conference on Computational Mechanics (Solids, Structures and Coupled Problems) (ECCM) 6; European Conference on Computational Fluid Dynamics (ECFD) 7
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