English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

The present article proposes a novel computational method for couplingarbitrarily curved 1D fibers with a 2D surface as defined, e.g., by the 2Dsurfaces of a 3D solid body or by 2D shell formulations. The fibers are modeledas 1D Cosserat continua (beams) with six local degrees of freedom, threepositional and three rotational ones. A kinematically consistent 1D-2D couplingscheme for this problem type is proposed considering the positional androtational degrees of freedom along the beams. The positional degrees offreedom are coupled by enforcing a constant normal distance between a point onthe beam centerline and a corresponding point on the surface. This strategyrequires a consistent description of the surface normal vector field toguarantee fundamental mechanical properties such as conservation of angularmomentum. Coupling of the rotational degrees of freedom of the beams and asuitable rotation tensor representing the local orientation within a solidvolume has been considered in a previous contribution. In the present work,this coupling approach will be extended by constructing rotation tensors thatare representative of 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 surfaces in 3D space