The University of Southampton
University of Southampton Institutional Repository

The effective Poisson ratio of random cellular matter having bending dominated architecture

Record type: Article

We argue that the effective Poisson ratio of cellular and porous solids is independent of the material of the solid phase, if the mechanism of the cell wall deformation is dominated by beam bending —thus rendering it to be a purely kinematic quantity. Introducing a kinematic simplification and requiring statistical isotropy, we prove a result of remarkable generality that the effective Poisson ratio of irregular planar structures equals 1 for all bending dominated random architectures. We then explore a deeper connection of this behavior with area-preserving deformation of planar closed elastic cells. We show that thin sheets and films made of such microstructured material afford physical realizations of the two-dimensional analogue of incompressible matter.We term such non-stretchable sheet material as well as deformations as isoektasic.

PDF Bhas_09a.pdf - Accepted Manuscript
Download (534kB)

Citation

Bhaskar, A. (2009) The effective Poisson ratio of random cellular matter having bending dominated architecture EPL (Europhysics Letters), 87, pp. 1-6. (doi:10.1209/0295-5075/87/18004).

More information

Submitted date: 10 February 2009
Published date: 17 July 2009

Identifiers

Local EPrints ID: 71619
URI: http://eprints.soton.ac.uk/id/eprint/71619
PURE UUID: 15c2bfa4-48ad-46fa-8aa9-cab58232b5a4

Catalogue record

Date deposited: 16 Dec 2009
Last modified: 18 Jul 2017 23:59

Export record

Altmetrics


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×