A mortar formulation for frictionless line-to-line beam contact
2021
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.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
51
References
0
Citations
NaN
KQI