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Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)

We solve the St. Venant torsion problem for an infinite cylindrical rod whose behaviour is described by a family of isotropic generalized continua, including the relaxed micromorphic and classical micromorphic model. The results can be used to determine the material parameters of these models. Special attention is given to the possible nonphysical stiffness singularity for a vanishing rod diameter, because slender specimens are, in general, described as stiffer.

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Datum der Veröffentlichung:
13.07.2021
URN:
urn:nbn:de:hbz:465-20220818-084801-1
DOI:
10.1177/10812865211023530
Sprache:
Englisch
Ressourcentyp:
Text
Schlagwörter:
generalized continua; torsion; torsional stiffness; characteristic length; size effect; micromorphic continuum; Cosserat continuum; gradient elasticity; relaxed micromorphic model; bounded stiffness
Kollektion:
E-Publikationen
Sachgruppen der Deutschen Nationalbibliographie:
510 Mathematik
Einrichtung:
Fakultät für Mathematik
Informationen zur Erstveröffentlichung:

Rizzi, G., Hütter, G., Khan, H., Ghiba, I.-D., Madeo, A., & Neff, P. (2022). Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Mathematics and Mechanics of Solids, 27(3), 507–553. https://doi.org/10.1177/10812865211023530

Article first published online: July 13, 2021

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Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively.

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Zitierform:
Rizzi, Gianluca et al. (2021): Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). Online unter: https://nbn-resolving.org/urn:nbn:de:hbz:465-20220818-084801-1.
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