Existence results for non‐homogeneous boundary conditions in the relaxed micromorphic model

DOI10.1002/MMA.6913zbMath1475.35336arXiv1910.14382OpenAlexW3088909589MaRDI QIDQ5003942

Patrizio Neff, Ionel-Dumitrel Ghiba, Sebastian Owczarek

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14382

zbMATH Keywords

inhomogeneous boundary conditionsextension operatorgeneralized continuatangential trace

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Existence of solutions of dynamical problems in solid mechanics (74H20) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for mixed-type systems of PDEs (35M33)

Related Items (4)

A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear ⋮ On \([H^1^{3\times 3}, [H(\text{curl})]^3\) and \(H(\text{sym Curl})\) finite elements for matrix-valued curl problems] ⋮ 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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