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


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).

Download

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

Description/Abstract

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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1209/0295-5075/87/18004
Subjects:
ePrint ID: 71619
Date :
Date Event
10 February 2009Submitted
17 July 2009Published
Date Deposited: 16 Dec 2009
Last Modified: 18 Apr 2017 21:02
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/71619

Actions (login required)

View Item View Item