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Microstructure-based hyperelastic models for closed-cell solids

Mihai, Loredana Angela, Wyatt, Hayley Louise and Goriely, Alain 2017. Microstructure-based hyperelastic models for closed-cell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473 (2200) , 20170036. 10.1098/rspa.2017.0036

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Abstract

For cellular bodies involving large elastic deformations, mesoscopic continuum models that take into account the interplay between the geometry and the microstructural responses of the constituents are developed, analysed and compared with finite-element simulations of cellular structures with different architecture. For these models, constitutive restrictions for the physical plausibility of the material responses are established, and global descriptors such as nonlinear elastic and shear moduli and Poisson’s ratio are obtained from the material characteristics of the constituents. Numerical results show that these models capture well the mechanical responses of finite-element simulations for three-dimensional periodic structures of neo-Hookean material with closed cells under large tension. In particular, the mesoscopic models predict the macroscopic stiffening of the structure when the stiffness of the cell-core increases.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: cellular solids; microstructural behaviour; constitutive responses; hyperelastic model; large strain deformation; finite element simulation
Publisher: Royal Society
ISSN: 1364-5021
Funders: Engineering and Physical Sciences Research Council
Date of First Compliant Deposit: 7 March 2017
Date of Acceptance: 7 March 2017
Last Modified: 08 Nov 2017 00:36
URI: http://orca.cf.ac.uk/id/eprint/98826

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