The modified indeterminate couple stress model: Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless

DOI10.1002/zamm.201600107arXiv1512.02053WikidataQ118361340 ScholiaQ118361340MaRDI QIDQ6064327

Ionel-Dumitrel Ghiba, Angela Madeo, Patrizio Neff, Ingo Muench

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.02053

zbMATH Keywords

strain gradient elasticitycouple stresssymmetric stresspolar continuamodified couple stress modelhyperstressesconsistent couple stress modelsymmetric couple stress

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Polar materials (74A35) Stress (74A10)

Related Items (7)

A hybrid \(H^1\times H(\operatorname{curl})\) finite element formulation for a relaxed micromorphic continuum model of antiplane shear ⋮ Variational formulation and differential quadrature finite element for freely vibrating strain gradient Kirchhoff plates ⋮ Determination of the spherical couple-stress in polar linear isotropic elasticity ⋮ Size-dependent Eshelby’s ellipsoidal inclusion problem based on generalized first strain gradient elasticity theory ⋮ Determination of the spherical part of the couple-stress in a polar fibre-reinforced elastic plate subjected to pure bending ⋮ Inclusion problem for a generalized strain gradient elastic continuum ⋮ Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

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