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A microstructure-based hyperelastic model for open-cell solids

Mihai, Loredana Angela, Wyatt, Hayley and Goriely, Alain 2017. A microstructure-based hyperelastic model for open-cell solids. Siam Journal on Applied Mathematics 77 (4) , pp. 1397-1416. 10.1137/16M1098899

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Abstract

Mesoscopic continuum hyperelastic models for open-cell solids subject to large elastic deformations are derived from the architecture of the cellular body and the microscopic responses of the cell walls. These models are valid for general structures, with randomly oriented cell walls, made from an arbitrary isotropic nonlinear hyperelastic material, and subject to finite triaxial stretches. Their analyses provide global descriptors of the cellular structure, such as nonlinear stretch and shear moduli, and Poisson's ratio. Comparisons with numerical simulations show that the mesoscopic models capture well the mechanical responses under large strain deformations of three-dimensional periodic structures and of two-dimensional honeycombs made from a neo-Hookean material.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: cellular solids; microstructural behaviour; constitutive modelling; open cells; hyperelastic material; large strain deformation.
Publisher: Society for Industrial and Applied Mathematics
ISSN: 0036-1399
Date of First Compliant Deposit: 6 June 2017
Date of Acceptance: 6 June 2017
Last Modified: 24 Jun 2019 16:13
URI: http://orca.cf.ac.uk/id/eprint/101227

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