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The optimal density of cellular solids in axial tension

Mihai, Loredana Angela ORCID:, Alayyash, Khulud and Wyatt, Hayley Louise 2017. The optimal density of cellular solids in axial tension. Computer Methods in Biomechanics and Biomedical Engineering 20 (7) , pp. 701-713. 10.1080/10255842.2017.1292352

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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. To answer this question, for finite element models of periodic structures of Mooney-type material with different structural geometry and subject to large strain deformations, we identify a nonlinear elastic modulus as the ratio between the mean effective stress and the mean effective strain in the solid cell walls, and show that this modulus increases when the thickness of the walls increases, as well as when the number of cells increases while the volume of solid material remains fixed. Since, under the specified conditions, this nonlinear elastic modulus increases also as the corresponding mean stress increases, either the mean modulus or the mean stress can be employed as indicator when the optimum wall thickness or number of cells is sought.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Cellular solids, nonlinear hyperelastic material, large strain deformation, micro-structural behaviour, material density, optimisation
Publisher: Taylor & Francis
ISSN: 1025-5842
Date of First Compliant Deposit: 3 February 2017
Date of Acceptance: 3 February 2017
Last Modified: 09 Nov 2023 17:42

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