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

Autor:	Rizzi, Gianluca, Hütter, Geralf, Khan, Hassam, Ghiba, Ionel Dumitrel, Madeo, Angela, Neff, Patrizio
Rok vydání:	2021
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	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. Comment: 41 pages, 29 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.11322 Zobrazit plný text záznamu View this record from Arxiv