TY - JOUR

T1 - A master-surface to master-surface formulation for beam to beam contact. Part II: Frictional interaction

AU - Gay Neto, Alfredo

AU - Pimenta, Paulo M.

AU - Wriggers, Peter

N1 - Funding information: The first author acknowledges FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) under the grant 2016/14230-6 and CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico) 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 Universités during the year of 2016 on a leave from the University of São Paulo.

PY - 2017/2/27

Y1 - 2017/2/27

N2 - 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.

AB - 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.

KW - Beam

KW - Contact

KW - Friction

KW - Superellipse

KW - Surface-to-surface

UR - http://www.scopus.com/inward/record.url?scp=85015063349&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2017.01.038

DO - 10.1016/j.cma.2017.01.038

M3 - Article

AN - SCOPUS:85015063349

VL - 319

SP - 146

EP - 174

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0045-7825

ER -