Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)
Classical Analysis and ODEs
2021-04-26 v1
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.
Keywords
Cite
@article{arxiv.2104.11322,
title = {Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)},
author = {Gianluca Rizzi and Geralf Hütter and Hassam Khan and Ionel Dumitrel Ghiba and Angela Madeo and Patrizio Neff},
journal= {arXiv preprint arXiv:2104.11322},
year = {2021}
}
Comments
41 pages, 29 figures