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Bifurcations of a coated, elastic cylinder

Bigoni, D. and Gei, Massimiliano ORCID: https://orcid.org/0000-0003-3869-7504 2001. Bifurcations of a coated, elastic cylinder. International Journal of Solids and Structures 38 (30-31) , pp. 5117-5148. 10.1016/S0020-7683(00)00322-X

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Abstract

Bifurcations in velocities from a state of homogeneous axisymmetric deformation are investigated for a coated elastic cylinder subject to axial tension or compression. The cylinder and the finite-thickness coating have circular cross sections. At the coating/core contact, a linear interface is introduced to simulate imperfect bonding. The particular case in which the thickness of the coating becomes infinite is also addressed. This may model the behaviour of a fiber embedded in an infinite matrix. Generic modes of bifurcations are investigated in the elliptic range, comprised axi- and anti-symmetric modes. Incompressible, hyperelastic materials, including Ogden, Mooney–Rivlin, and J2-deformation theory of plasticity, are considered in the applications.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: Elsevier
ISSN: 0020-7683
Last Modified: 28 Oct 2022 09:18
URI: https://orca.cardiff.ac.uk/id/eprint/74060

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