Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations) - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2021

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

Abstract

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, since slender specimens are in general described as stiffer.
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Dates and versions

hal-03200030 , version 1 (16-04-2021)

Identifiers

  • HAL Id : hal-03200030 , version 1

Cite

Gianluca Rizzi, Geralf Hütter, Hassam Khan, Ionel Dumitrel Ghiba, Angela Madeo, et al.. Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). 2021. ⟨hal-03200030⟩
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