ArticleProceedings. Mathematical, physical, and engineering sciences2017
Microstructure-based hyperelastic models for closed-cell solids.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Transport-related effects on intrinsic and synaptic properties of human cortical neurons: A comparative study.The Journal of physiology · 2026Article
- Nonlinear scaling effects in the stiffness of soft cellular structures.Royal Society open science · 2019Article
- The equivalent medium of cellular substrate under large stretching, with applications to stretchable electronics.Journal of the mechanics and physics of solids · 2018Article
- How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity.Proceedings. Mathematical, physical, and engineering sciences · 2017Review
- Microstructure-based hyperelastic models for closed-cell solids.Proceedings. Mathematical, physical, and engineering sciences · 2017Article
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3 authors.
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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.
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