Nitsche's method for two and three dimensional NURBS patch coupling

Vinh Phu Nguyen; Pierre Kerfriden; Marco Brino; Stéphane P A Bordas; Elvio Bonisoli

doi:10.1007/s00466-013-0955-3

Nitsche's method for two and three dimensional NURBS patch coupling

Vinh Phu Nguyen, Pierre Kerfriden, Marco Brino, Stéphane P A Bordas, Elvio Bonisoli

Research output: Contribution to journal › Article › peer-review

209 Citations (Scopus)

Abstract

We present a Nitche's method to couple non-conforming two and three-dimensional non uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We present results for linear elastostatics in two and and three-dimensions. The method can deal with surface-surface or volume-volume coupling, and we show how it can be used to handle heterogeneities such as inclusions. We also present preliminary results on modal analysis. This simple coupling method has the potential to increase the applicability of NURBS-based isogeometric analysis for practical applications.

Original language	English
Pages (from-to)	1163-1182
Number of pages	20
Journal	Computational Mechanics
Volume	53
Issue number	6
DOIs	https://doi.org/10.1007/s00466-013-0955-3
Publication status	Published - 2014
Externally published	Yes

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title = "Nitsche's method for two and three dimensional NURBS patch coupling",

abstract = "We present a Nitche's method to couple non-conforming two and three-dimensional non uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We present results for linear elastostatics in two and and three-dimensions. The method can deal with surface-surface or volume-volume coupling, and we show how it can be used to handle heterogeneities such as inclusions. We also present preliminary results on modal analysis. This simple coupling method has the potential to increase the applicability of NURBS-based isogeometric analysis for practical applications.",

keywords = "Finite element method, Isogeometric analysis (IGA), Multi-patch NURBS IGA, Nitsche's method",

author = "Nguyen, {Vinh Phu} and Pierre Kerfriden and Marco Brino and Bordas, {St{\'e}phane P A} and Elvio Bonisoli",

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doi = "10.1007/s00466-013-0955-3",

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AU - Nguyen, Vinh Phu

AU - Kerfriden, Pierre

AU - Brino, Marco

AU - Bordas, Stéphane P A

AU - Bonisoli, Elvio

PY - 2014

Y1 - 2014

N2 - We present a Nitche's method to couple non-conforming two and three-dimensional non uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We present results for linear elastostatics in two and and three-dimensions. The method can deal with surface-surface or volume-volume coupling, and we show how it can be used to handle heterogeneities such as inclusions. We also present preliminary results on modal analysis. This simple coupling method has the potential to increase the applicability of NURBS-based isogeometric analysis for practical applications.

AB - We present a Nitche's method to couple non-conforming two and three-dimensional non uniform rational b-splines (NURBS) patches in the context of isogeometric analysis. We present results for linear elastostatics in two and and three-dimensions. The method can deal with surface-surface or volume-volume coupling, and we show how it can be used to handle heterogeneities such as inclusions. We also present preliminary results on modal analysis. This simple coupling method has the potential to increase the applicability of NURBS-based isogeometric analysis for practical applications.

KW - Finite element method

KW - Isogeometric analysis (IGA)

KW - Multi-patch NURBS IGA

KW - Nitsche's method

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Nitsche's method for two and three dimensional NURBS patch coupling

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