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An isogeometric collocation method for frictionless contact of Cosserat rods

Weeger, Oliver ; Narayanan, Bharath ; De Lorenzis, Laura ; Kiendl, Josef ; Dunn, Martin L. (2022)
An isogeometric collocation method for frictionless contact of Cosserat rods.
In: Computer Methods in Applied Mechanics and Engineering, 2017, 321
doi: 10.26083/tuprints-00019826
Article, Secondary publication, Postprint

Copyright Information: CC BY-NC-ND 4.0 International - Creative Commons, Attribution NonCommercial, NoDerivs.

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Item Type: Article
Type of entry: Secondary publication
Title: An isogeometric collocation method for frictionless contact of Cosserat rods
Language: English
Date: 2022
Place of Publication: Darmstadt
Year of primary publication: 2017
Publisher: Elsevier
Journal or Publication Title: Computer Methods in Applied Mechanics and Engineering
Volume of the journal: 321
Collation: 22 Seiten
DOI: 10.26083/tuprints-00019826
Corresponding Links:
Origin: Secondary publication service

A frictionless contact formulation for spatial rods is developed within the framework of isogeometric collocation. The structural mechanics is described by the Cosserat theory of geometrically nonlinear spatial rods. The numerical discretization is based on an isogeometric collocation method, where the geometry and solution fields are represented as NURBS curves and the strong forms of the equilibrium equations are collocated at Greville points. In this framework, a frictionless rod-to-rod contact formulation is proposed. Contact points are detected by a coarse-level and a refined search for close centerline points and reaction forces are computed by the actual penetration of rod surface points, so that the enforcement of the contact constraints is performed with the penalty method. An important aspect is the application of contact penalty forces as point loads within the collocation scheme, and methods for this purpose are proposed and evaluated. The overall contact algorithm is validated by and applied to several numerical examples.

Status: Postprint
URN: urn:nbn:de:tuda-tuprints-198263
Additional Information:

Keywords: Isogeometric analysis, Collocation method, Contact formulation, Nonlinear rods

Classification DDC: 600 Technology, medicine, applied sciences > 600 Technology
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 04 Jan 2022 14:12
Last Modified: 17 Mar 2023 08:45
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19826
PPN: 506087174
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