Radi E, Sevostianov I
Dipartimento di Scienze e Metodi dell'Ingegneria , Università di Modena e Reggio Emilia , Via Amendola, Reggio Emilia 2- 42122, Italy.
Department of Mechanical and Aerospace Engineering , New Mexico State University , Las Cruces, NM 88001, USA.
Proc Math Phys Eng Sci. 2016 Mar;472(2187):20150781. doi: 10.1098/rspa.2015.0781.
An analytic solution for the steady-state temperature distribution in an infinite conductive medium containing an insulated toroidal inhomogeneity and subjected to remotely applied uniform heat flux is obtained. The temperature flux on the torus surface is then determined as a function of torus parameters. This result is used to calculate the resistivity contribution tensor for the toroidal inhomogeneity required to evaluate the effective conductive properties of a material containing multiple inhomogeneities of this shape.