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Bending of thin periodic plates

Cherdantsev, Mikhail and Cherednichenko, Kirill 2015. Bending of thin periodic plates. Calculus of Variations and Partial Differential Equations 54 , pp. 4079-4117. 10.1007/s00526-015-0932-0

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We show that nonlinearly elastic plates of thickness h → 0 with an ε-periodic structure such that ε^2 h → 0 exhibit non-standard behaviour in the asymptotic two-dimensional reduction from three-dimensional elasticity: in general, their effective stored-energy density is “discontinuously anisotropic” in all directions. The proof relies on a new result concerning an additional isometric constraint that deformation fields must satisfy on the microscale.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Additional Information: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Publisher: Springer Verlag
ISSN: 0944-2669
Funders: EPSRC
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 14 September 2015
Last Modified: 16 Nov 2020 17:30

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