An analytical solution is obtained for the problem of an infinite elastic medium containing a rigid toroidal inhomogeneity under remotely applied uniform strain. The traction on the torus surface is determined as a function of torus parameters and strain components applied at infinity. The results are utilized to calculate components of the stiffness contribution tensor of the rigid toroidal inhomogeneity that is required for calculation of the overall elastic properties of a material containing multiple toroidal inhomogeneities. The analytical results are verified by comparison with finite element model calculations.
Effect of a rigid toroidal inhomogeneity on the elastic properties of a composite / Krasnitskii, Stanislav; Trofimov, Anton; Radi, Enrico; Sevestianov, Igor. - In: MATHEMATICS AND MECHANICS OF SOLIDS. - ISSN 1081-2865. - 24:4(2019), pp. 1129-1146. [10.1177/1081286518773806]
Effect of a rigid toroidal inhomogeneity on the elastic properties of a composite
Radi, Enrico;
2019
Abstract
An analytical solution is obtained for the problem of an infinite elastic medium containing a rigid toroidal inhomogeneity under remotely applied uniform strain. The traction on the torus surface is determined as a function of torus parameters and strain components applied at infinity. The results are utilized to calculate components of the stiffness contribution tensor of the rigid toroidal inhomogeneity that is required for calculation of the overall elastic properties of a material containing multiple toroidal inhomogeneities. The analytical results are verified by comparison with finite element model calculations.
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