Abstract
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: |
20 Jan 2021 11:47 |
URI: |
http://orca.cf.ac.uk/id/eprint/98051 |
Citation Data
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