A master-surface to master-surface formulation for beam to beam contact. Part II: Frictional interaction

authored by: Alfredo Gay Neto, Paulo M. Pimenta, Peter Wriggers
Abstract: Slender structures are commonly represented using beam models. When addressing the contact between them, usually one has to adopt specific formulations, wherein the beam is represented by a 3D curve. Aiming at increasing the geometric details of such formulations, in this work we present a master-surface to master-surface contact formulation, which is adequate for beam-to-beam contact. Particularly, the focus is given to the friction effects. For that, a pointwise interaction is assumed for each contact zone. Then, we establish a special tangential gap function, able to compute not only the relative sliding, but also to consider changes of the material points where contact takes place. Such changes are essential for modeling rolling contact scenarios. We apply the ideas for beam-to-beam contact, considering geometrically-exact beams with superelliptical cross-sections. The proposed model can naturally handle the effects of friction associated with the beam translations and rotations, such as rolling or alternating rolling/sliding. Since the change of material points responsible for contact is included in the tangential gap definition, a single contact zone is able to handle such complex interactions, which is computationally-convenient. We show numerical examples with applications involving sliding, rolling and multiple beam-to-beam contacts.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Universidade de Sao Paulo
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 319
Pages: 146-174
No. of pages: 29
ISSN: 0045-7825
Publication date: 27.02.2017
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, General Physics and Astronomy, Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2017.01.038 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{7fbf265500a9440d948e42e8a25e84f7,
title = "A master-surface to master-surface formulation for beam to beam contact. Part II: Frictional interaction",
abstract = "Slender structures are commonly represented using beam models. When addressing the contact between them, usually one has to adopt specific formulations, wherein the beam is represented by a 3D curve. Aiming at increasing the geometric details of such formulations, in this work we present a master-surface to master-surface contact formulation, which is adequate for beam-to-beam contact. Particularly, the focus is given to the friction effects. For that, a pointwise interaction is assumed for each contact zone. Then, we establish a special tangential gap function, able to compute not only the relative sliding, but also to consider changes of the material points where contact takes place. Such changes are essential for modeling rolling contact scenarios. We apply the ideas for beam-to-beam contact, considering geometrically-exact beams with superelliptical cross-sections. The proposed model can naturally handle the effects of friction associated with the beam translations and rotations, such as rolling or alternating rolling/sliding. Since the change of material points responsible for contact is included in the tangential gap definition, a single contact zone is able to handle such complex interactions, which is computationally-convenient. We show numerical examples with applications involving sliding, rolling and multiple beam-to-beam contacts.",
keywords = "Beam, Contact, Friction, Superellipse, Surface-to-surface",
author = "{Gay Neto}, Alfredo and Pimenta, {Paulo M.} and Peter Wriggers",
note = "Funding information: The first author acknowledges FAPESP (Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de S{\~a}o Paulo) under the grant 2016/14230-6 and CNPq (Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico) under the grant 308190/2015-7. The second author acknowledges the support by CNPq under the grant 303091/2013-4 as well as expresses his acknowledgment to the Alexander von Humboldt Foundation for the Georg Forster Award that made possible his stays at the Universities of Duisburg–Essen and Hannover in Germany in the triennium 2015–2017 as well as to the French and Brazilian Governments for the Chair CAPES-Sorbonne that made possible his stay at Sorbonne Universit{\'e}s during the year of 2016 on a leave from the University of S{\~a}o Paulo.",
year = "2017",
month = feb,
day = "27",
doi = "10.1016/j.cma.2017.01.038",
language = "English",
volume = "319",
pages = "146--174",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}