Author
Mihai, L
Wyatt, H
Goriely, A
Journal title
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
DOI
10.1098/rspa.2017.0036
Issue
2200
Volume
473
Last updated
2024-03-27T01:32:19.027+00:00
Page
1-17
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 to 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.
Symplectic ID
685153
Favourite
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Publication type
Journal Article
Publication date
05 Apr 2017
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