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Nonlinear Poisson effects in soft honeycombs

Mihai, Loredana Angela and Goriely, Alain 2014. Nonlinear Poisson effects in soft honeycombs. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470 (2169) , 20140363. 10.1098/rspa.2014.0363

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Abstract

We examine solid cellular structures within the theoretical framework of finite elas- ticity, whereby we assume that the cell wall material is nonlinear elastic. This enables us to identify new mechanical effects which appear in cellular materials when elastically deformed, and to explore the physical properties that influence them. We find that, when a honeycomb structure of hyperelastic material and standard geometry, such as rectan- gular, hexagonal, or diamond shaped cells, contains walls which are inclined relative to an applied uniaxial tensile load, these walls tend to expand both in the direction of the load and in the perpendicular direction, producing an apparent negative Poisson’s ratio at local cell level. Moreover, we show that this (negative) Poisson ratio decreases as the magnitude of the tensile load increases. For these structures, Poisson’s ratios greater than 0.5 are obtained in uniaxial compression. Similar effects in structures with linearly elastic cell walls do not occur.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: constitutive behaviour, cellular structures, elastic material, large strain, finite elements 1
Publisher: Royal Society
ISSN: 1364-5021
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 16 June 2014
Last Modified: 28 Jun 2019 13:12
URI: http://orca.cf.ac.uk/id/eprint/60652

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