Document detail
ID
oai:arXiv.org:2407.12515
Topic
Mathematics - Numerical Analysis Computer Science - Computational E... Mathematical PhysicsAuthor
Sky, Adam Hale, Jack S. Zilian, Andreas Bordas, Stéphane P. A. Neff, PatrizioCategory
Computer Science
Year
2024
listing date
9/25/2024
Keywords
reinforcedAbstract
We present an approach to the coupling of mixed-dimensional continua by employing the mathematically enriched linear Cosserat micropolar model.
The kinematical reduction of the model to lower dimensional domains leaves its fundamental degrees of freedom intact.
Consequently, the degrees of freedom intrinsically agree even at the interface with a domain of a different dimensionality.
Thus, this approach circumvents the need for intermediate finite elements or mortar methods.
We introduce the derivations of all models of various dimensions using tangential differential calculus.
The coupling itself is then achieved by defining a mixed-dimensional action functional with consistent Sobolev trace operators.
Finally, we present numerical examples involving a three-dimensional silicone-rubber block reinforced with a curved graphite shell on its lower surface, a three-dimensional silver block reinforced with a graphite plate and beams, and lastly, intersecting silver shells reinforced with graphite beams.
Sky, Adam,Hale, Jack S.,Zilian, Andreas,Bordas, Stéphane P. A.,Neff, Patrizio, 2024, Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus
Analysis of the ICML 2023 Ranking Data: Can Authors' Opinions of Their Own Papers Assist Peer Review in Machine Learning?
peer author-provided analysis rankings scores review learning machine science computer
