A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear
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Publication:2666074
DOI10.1007/s00466-021-02002-8zbMath1480.74291arXiv2009.13397OpenAlexW3160944831WikidataQ113326729 ScholiaQ113326729MaRDI QIDQ2666074
Patrizio Neff, Ingo Muench, Joachim Schöberl, Adam Sky, Michael Neunteufel
Publication date: 22 November 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.13397
free energy functionmixed formulationmetamaterialedge elementNédélec elementrelaxed micromorphic continuumcombined Hilbert spacecurl based energy
Finite element methods applied to problems in solid mechanics (74S05) Micromechanical theories (74A60) Theory of constitutive functions in solid mechanics (74A20)
Related Items (9)
Primal and mixed finite element formulations for the relaxed micromorphic model ⋮ On \([H^1^{3\times 3}, [H(\text{curl})]^3\) and \(H(\text{sym Curl})\) finite elements for matrix-valued curl problems] ⋮ Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model ⋮ Size-effects of metamaterial beams subjected to pure bending: on boundary conditions and parameter identification in the relaxed micromorphic model ⋮ A Reissner-Mindlin plate formulation using symmetric Hu-Zhang elements via polytopal transformations ⋮ Novel \(H(\mathrm{sym\,Curl})\)-conforming finite elements for the relaxed micromorphic sequence ⋮ Lagrange and \(H(\mathrm{curl}, \mathcal{B})\) based finite element formulations for the relaxed micromorphic model ⋮ A local regularity result for the relaxed micromorphic model based on inner variations ⋮ Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
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Cites Work
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