PT Unknown
AU Rizzi, G
   Hütter, G
   Khan, H
   Ghiba, I
   Madeo, A
   Neff, P
TI Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
PD 07
PY 2021
DI 10.1177/10812865211023530
LA en
DE generalized continua; torsion; torsional stiffness; characteristic length; size effect; micromorphic continuum; Cosserat continuum; gradient elasticity; relaxed micromorphic model; bounded stiffness
AB 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.
ER