Effect of a rigid toroidal inhomogeneity on the elastic properties of a composite. (April 2019)

• Record Type: Journal Article
• Authors: Krasnitskii, Stanislav; Trofimov, Anton; Radi, Enrico; Sevestianov, Igor
• Is Part Of: Mathematics and mechanics of solids. Volume 24:Number 4(2019)
• Page Start: 1129
• Page End: 1146
• Publication Date: 2019-04
• Subjects: Rigid torus -- stiffness contribution tensor -- effective elastic properties -- composite -- non-ellipsoidal inhomogeneity; Materials -- Mechanical properties -- Periodicals; Solids -- Periodicals; Materials science -- Mathematics -- Periodicals; 620.11205
• DOI: 10.1177/1081286518773806
• Languages: English
• ISSNs: 1081-2865

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.