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Debonding of cellular structures with fibre-reinforced cell walls under shear deformation

Mihai, Loredana Angela, Safar, Alexander and Wyatt, Hayley Louise 2018. Debonding of cellular structures with fibre-reinforced cell walls under shear deformation. Journal of Engineering Mathematics 109 (1) , pp. 3-19. 10.1007/s10665-016-9894-2

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Abstract

Many natural structures are cellular solids at millimetre scale and fibre-reinforced composites at micrometer scale. For these structures, mechanical properties are associated with cell strength, and phenomena such as cells separation through debonding of the middle lamella in cell walls is key in explaining some important characteristics or behaviour. To explore such phenomena, we model cellular structures with nonlinear hyperelastic cell walls under large shear deformations, and incorporate cell wall material anisotropy and unilateral contact between neighbouring cells in our models. Analytically, we show that, for two cuboid walls in unilateral contact and subject to generalised shear, gaps can appear at the interface between the deforming walls. Numerically, when finite element models of periodic structures with hexagonal cells are sheared, significant cell separation is captured diagonally across the structure. Our analysis further reveals that separation is less likely between cells with high internal cell pressure (e.g. in fresh and growing fruit and vegetables) than between cells where the internal pressure is low (e.g. in cooked or ageing plants).

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: cellular solids; unilateral contact; hyperelastic materials; large strain deformation; finite element method; fruit softening.
Publisher: Springer Verlag
ISSN: 0022-0833
Date of First Compliant Deposit: 21 December 2016
Date of Acceptance: 22 December 2016
Last Modified: 13 Mar 2018 10:54
URI: http://orca.cf.ac.uk/id/eprint/97023

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