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  4. A mortar formulation for frictionless line-to-line beam contact
 
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2022
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Titel

A mortar formulation for frictionless line-to-line beam contact

Abstract
This paper describes the quasi-static formulation of frictionless line contact between flexible beams by employing the mortar finite element approach. Contact constraints are enforced in a weak sense along the contact region using Lagrange multipliers. A simple projection appropriate for thin beams with circular cross-sections is proposed for the computation of contact regions. It is combined with the geometrically exact beam formalism on the Lie group SE(3). Interestingly, this framework leads to a constraint gradient and a tangent stiffness invariant under rigid body transformations. The formulation is tested in some numerical examples.
Author(s)
Bosten, Armin
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Cosimo, A.
Department of Aerospace and Mechanical Engineering, University of Liège, Liège, Belgium
Linn, Joachim
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Brüls, Oliver
Department of Aerospace and Mechanical Engineering, University of Liège, Liège, Belgium
Zeitschrift
Multibody system dynamics
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DOI
10.1007/s11044-021-09799-5
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