Baker M

Beatty MF

De Belie N

Fisher DV

Gibson LJ

Harker FR

Hill R

Lozano JE

Mihai LA

Niklas KJ

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.</jats:p

L. Angela Mihai

Hayley Wyatt

Alain Goriely

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Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Microstructure-based hyperelastic models for closed-cell solids

Microstructure-based hyperelastic models for closed-cell solids

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