TU Darmstadt / ULB / TUprints

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. (Postprint)
In: Computer Methods in Applied Mechanics and Engineering, 321, Elsevier, ISSN 0045-7825,
DOI: 10.26083/tuprints-00019826,
[Article]

[img]
Preview
Text
2017a_WNLKD_IgaRodContact.pdf
Available under: CC-BY-NC-ND 4.0 International - Creative Commons, Attribution NonCommercial, NoDerivs.

Download (3MB) | Preview
Item Type: Article
Origin: Secondary publication service
Status: Postprint
Title: An isogeometric collocation method for frictionless contact of Cosserat rods
Language: English
Abstract:

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.

Journal or Publication Title: Computer Methods in Applied Mechanics and Engineering
Journal volume: 321
Publisher: Elsevier
Collation: 22 Seiten
Classification DDC: 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 16 Department of Mechanical Engineering > Cyber-Physical Simulation (CPS)
Date Deposited: 04 Jan 2022 14:12
Last Modified: 04 Jan 2022 14:12
DOI: 10.26083/tuprints-00019826
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-198263
Additional Information:

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

URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/19826
Export:
Actions (login required)
View Item View Item