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The present article proposes a novel computational method for coupling 1Dfibers with the 2D surface of a 3D solid. The fibers are modeled as 1D Cosseratcontinua (beams) with six local degrees of freedom, three positional and threerotational ones. A kinematically consistent 1D-2D coupling scheme for thisproblem type is proposed considering the positional and rotational degrees offreedom along the beams. The positional degrees of freedom are coupled byenforcing a constant normal distance between a point on the beam centerline anda corresponding point on the solid surface. This strategy requires a consistentdescription of the solid surface normal vector field to guarantee fundamentalmechanical properties such as conservation of angular momentum. Coupling of therotational degrees of freedom of the beams and a suitable rotation tensorrepresentative for the local orientation within a Boltzmann continuum has beenconsidered in a previous contribution. In the present work, this couplingapproach will be extended by constructing rotation tensors that arerepresentative for local surface orientations. Several numerical examplesdemonstrate the consistency, robustness and accuracy of the proposed method. Toshowcase its applicability to multi-physics systems of practical relevance, thefluid-structure interaction example of a vascular stent is presented.

A consistent mixed-dimensional coupling approach for 1D Cosserat beams and 2D solid surfaces