A new microstructure-dependent Saint-Venant torsion model based on a modified couple stress theory

DOI10.1016/J.EUROMECHSOL.2011.03.007zbMath1278.74094OpenAlexW2143949473MaRDI QIDQ388335

John T. Katsikadelis, George C. Tsiatas

Publication date: 19 December 2013

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2011.03.007

zbMATH Keywords

microstructuretorsionmethod of fundamental solutionscouple stress theorystrain gradient elasticityanalog equation method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items (7)

Torsional static and vibration analysis of functionally graded nanotube with bi-Helmholtz kernel based stress-driven nonlocal integral model ⋮ On the mechanics of laminated microplates ⋮ Torsion of elastic anisotropic micropolar cylindrical bars ⋮ A non-classical Mindlin plate finite element based on a modified couple stress theory ⋮ A numerical analysis of Saint-Venant torsion in strain-gradient bars ⋮ Torsional vibration induced by gyroscopic effect in the modified couple stress based micro-rotors ⋮ Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

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