Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes

  title={Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes},
  author={Ivo Steinbrecher and Alexander Popp and Christoph Meier},
The present article proposes a mortar-type finite element formulation for consistently embedding curved, slender beams into 3D solid volumes. Following the fundamental kinematic assumption of undeformable cross-section s, the beams are identified as 1D Cosserat continua with pointwise six (translational and rotational) degrees of freedom describing the cross-section (centroid) position and orientation. A consistent 1D-3D coupling scheme for this problem type is proposed, requiring to enforce… 


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  • M. Crisfield, Gordan Jelenić
  • Mathematics
    Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
  • 1999
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