Symmetric unisolvent equations for linear elasticity purely in stresses

A Sky, A Zilian - International Journal of Solids and Structures, 2024 - Elsevier
In this work we introduce novel stress-only formulations of linear elasticity with special
attention to their approximate solution using weighted residual methods. We present four …

Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus

A Sky, JS Hale, A Zilian, SPA Bordas, P Neff - Computer Methods in …, 2024 - Elsevier
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 …

Formulae and transformations for simplicial tensorial finite elements via polytopal templates

A Sky, M Neunteufel, JS Hale, A Zilian - arXiv preprint arXiv:2405.10402, 2024 - arxiv.org
We introduce a unified method for constructing the basis functions of a wide variety of
partially continuous tensor-valued finite elements on simplices using polytopal templates …

Novel -conforming elements on regular triangulations and Clough--Tocher splits for the planar relaxed micromorphic model

A Sky, M Neunteufel, P Lewintan, P Gourgiotis… - arXiv preprint arXiv …, 2024 - arxiv.org
In this work we present a consistent reduction of the relaxed micromorphic model to its
corresponding two-dimensional planar model, such that its capacity to capture …

[PDF][PDF] Polytopal templates and mappings for the unified construction of tensor-valued finite element spaces on triangulations

A Sky, M Neunteufel, JS Hale, A Zilian - researchgate.net
• In mixed linear elasticity [3, 4, 7, 11]• In biharmonic equations [6]• To discretise metric fields
in continuum mechanics, shells, and curvature approximations [2, 5]• For discretisations of …

[PDF][PDF] Structure-preserving finite element complexes in computational physics

A Sky - lacan.upc.edu
Adam Sky obtained a Bachelor and Master of Structural Engineering at the Constance
University of Applied Sciences (HTWG-Konstanz) in 2019. From 2019 to 2022 he was a …

[PDF][PDF] Intrinsic mixed-dimensional elastic couplings via enriched continua

A Sky, JS Hale, A Zilian, SPA Bordas, P Neff - researchgate.net
• Structural parts in engineering practices often entail large and small components, for
example in sandwich structures• Computing the design as a single continuum may prove …

[PDF][PDF] Between minimal regularity and strong symmetry: Finite elements for the Reissner–Mindlin plate

A Sky, M Neunteufel, JS Hale, A Zilian - researchgate.net
Between minimal regularity and strong symmetry: Finite elements for the Reissner–Mindlin plate
Page 1 1/24 Between minimal regularity and strong symmetry: Finite elements for the …