Effect of a rigid toroidal inhomogeneity on the elastic properties of a composite-Reference-Cited by-同舟云学术

Effect of a rigid toroidal inhomogeneity on the elastic properties of a composite

Published:2018-05-26 Issue:4 Volume:24 Page:1129-1146
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Krasnitskii Stanislav¹,Trofimov Anton²,Radi Enrico³,Sevestianov Igor⁴

Affiliation:

1. Petra Velikogo Institut fiziki nanotehnologij i telekommunikacij, Sankt-Peterburgskij politehniceskij universitet, St Petersburg, Russia

2. Center for Design, Manufacturing and Materials, Skolkovo Institute of Science and Technology, Skolkovo, Russia

3. Department of Science and Methods in Engineering, University of Modena and Reggio Emilia, Modena, Italy

4. Department of Mechanical and Aerospace Engineering, New Mexico State University, Las Cruces, NM, USA

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.

Funder

Ministry of Education and Science of the Russian Federation

NASA

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286518773806

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1. Morphogenesis mechanisms in the solvothermal synthesis of BaTiO3from titanate nanorods and nanotubes

2. Rate-Dependent Morphology of Li2O2 Growth in Li–O2 Batteries