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Optimising material density of cellular bodies in high elastic deformations

Wyatt, Hayley Louise, Alayyash, Khulud and Mihai, Loredana Angela ORCID: 2016. Optimising material density of cellular bodies in high elastic deformations. Presented at: 24th International Congress of Theoretical and Applied Mechanics, Montreal, Canada, 21-25 August 2016.

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For cellular bodies with uniform cell size, wall thickness, and shape, an important question is whether the same volume of material has the same effect when arranged as many small cells or as fewer large cells. Numerically, we assess the independent impact of cell size and number of cells on the mechanical behaviour of finite element models of periodic, honeycomb-like structures of neo-Hookean or Mooney-Rivlin material, and obtain that the mean non-linear elastic modulus and Poisson 's ratio in the cell walls increase as the number of cells increases while the total volume of solid material remains fixed. This is due to the enhanced elasticity of the cell walls when the material is distributed more uniformly throughout the structure. The results presented here provide valuable information in understanding the behaviour of cellular structures of non-linear elastic material and can be used to optimise their design for various applications

Item Type: Conference or Workshop Item (Paper)
Date Type: Completion
Status: Unpublished
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Funders: Engineering and Physical Sciences Research Council of Great Britain
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Date of First Compliant Deposit: 11 September 2016
Last Modified: 01 Nov 2022 11:17

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