Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact

Qingyuan Hu
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  • PersonId : 1024016
Gengdong Cheng
  • Fonction : Auteur
  • PersonId : 1024017
Stéphane Pierre Alain Bordas
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  • PersonId : 969308

Résumé

A simple skew-symmetric Nitsche's formulation is introduced into the framework of isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential boundary conditions, symmetry conditions for Kirchhoff plates, patch coupling in statics and in modal analysis as well as Signorini contact conditions. For linear boundary or interface conditions, the method is parameter-free. For contact conditions, skew-symmetric Nitsche remains stable and accurate for a wide range of the stabilization parameter. Several numerical tests are performed to illustrate its accuracy, stability and convergence performance. We investigate particularly the effects introduced by Nitsche's coupling, including the convergence performance and condition numbers in statics as well as the extra "outlier" frequencies and corresponding eigenmodes in structural dynamics. We present the block test and Hertz test showing that skew-symmetric Nitsche's formulation is a suitable approach to simulate contact problems in IGA.
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Dates et versions

hal-01650138 , version 1 (28-11-2017)
hal-01650138 , version 2 (13-04-2018)

Identifiants

  • HAL Id : hal-01650138 , version 1

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Qingyuan Hu, Franz Chouly, Gengdong Cheng, Stéphane Pierre Alain Bordas. Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact. 2017. ⟨hal-01650138v1⟩
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