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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, 321
doi: 10.26083/tuprints-00019826
Artikel, Zweitveröffentlichung, Postprint

Kurzbeschreibung (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.

Typ des Eintrags: Artikel
Erschienen: 2022
Autor(en): Weeger, Oliver ; Narayanan, Bharath ; De Lorenzis, Laura ; Kiendl, Josef ; Dunn, Martin L.
Art des Eintrags: Zweitveröffentlichung
Titel: An isogeometric collocation method for frictionless contact of Cosserat rods
Sprache: Englisch
Publikationsjahr: 2022
Verlag: Elsevier
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Computer Methods in Applied Mechanics and Engineering
Jahrgang/Volume einer Zeitschrift: 321
Kollation: 22 Seiten
DOI: 10.26083/tuprints-00019826
URL / URN: https://tuprints.ulb.tu-darmstadt.de/19826
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Herkunft: Zweitveröffentlichungsservice
Kurzbeschreibung (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.

Status: Postprint
URN: urn:nbn:de:tuda-tuprints-198263
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Keywords: Isogeometric analysis, Collocation method, Contact formulation, Nonlinear rods

Sachgruppe der Dewey Dezimalklassifikatin (DDC): 600 Technik, Medizin, angewandte Wissenschaften > 600 Technik
600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau
Fachbereich(e)/-gebiet(e): 16 Fachbereich Maschinenbau
16 Fachbereich Maschinenbau > Fachgebiet Cyber-Physische Simulation (CPS)
Hinterlegungsdatum: 04 Jan 2022 14:12
Letzte Änderung: 05 Jan 2022 07:56
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