In the paper we present a multi patch isogeometric mixed element with implicit geometric continuity at the ends for the analysis of non polar Kirchhoff space rods. Rotations are introduced at the ends of the element analogously to the Hermitian interpolation, performing a change of basis for the configuration space. A mixed method in which the internal forces are interpolated by means of an L2 projection leading to a B formulation is used to cope with the membrane-flexural locking that affects the solution. The efficiency of the method in avoiding locking and instabilities is investigated. The formulation adopted has the advantage with respect to other formulations that a non full global stiffness matrix is obtained. This approach appears very appealing for efficient analyses of general assemblies of 3D non polar elements.

An isogeometric implicit G1 mixed finite element for Kirchhoff space rods

GRECO, LEOPOLDO VINCENZO;CUOMO, Massimo
2016-01-01

Abstract

In the paper we present a multi patch isogeometric mixed element with implicit geometric continuity at the ends for the analysis of non polar Kirchhoff space rods. Rotations are introduced at the ends of the element analogously to the Hermitian interpolation, performing a change of basis for the configuration space. A mixed method in which the internal forces are interpolated by means of an L2 projection leading to a B formulation is used to cope with the membrane-flexural locking that affects the solution. The efficiency of the method in avoiding locking and instabilities is investigated. The formulation adopted has the advantage with respect to other formulations that a non full global stiffness matrix is obtained. This approach appears very appealing for efficient analyses of general assemblies of 3D non polar elements.
2016
Geometric continuity; Isogeometric analysis; Flexural locking; B-bar method; Membrane locking
File in questo prodotto:
File Dimensione Formato  
An-isogeometric-implicit-G-mixed-finite-element-for-Kirchhoff-space-rods2016Computer-Methods-in-Applied-Mechanics-and-Engineering.pdf

solo gestori archivio

Tipologia: Versione Editoriale (PDF)
Dimensione 2.09 MB
Formato Adobe PDF
2.09 MB Adobe PDF   Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/17635
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 107
  • ???jsp.display-item.citation.isi??? 96
social impact