# Analytic analysis of auxetic metamaterials through analogy with rigid link systems

 Authors: Daniel Rayneau-Kirkhope, Chengzhao Zhang, Louis Theran, and Marcelo A. Dias Journal: Proceedings of the Royal Society A, 4742210, 2018. Full text: arXiv • DOI

Recent progress in advanced additive manufacturing techniques has stimulated the growth of the field of mechanical metamaterials. One area particular interest in this subject is the creation of auxetic material properties through elastic instability. This paper focuses on a novel methodology in the analysis of auxetic metamaterials through analogy with rigid link lattice systems. Our analytic methodology gives extremely good agreement with finite element simulations for both the onset of elastic instability and post-buckling behaviour including Poisson’s ratio. The insight into the relationships between mechanisms within lattices and their mechanical behaviour has the potential to guide the rational design of lattice based metamaterials.

  @Article{ Rayneau-Kirkhope_Zhang_Theran_Dias_Analytic2018,
author = "Daniel Rayneau-Kirkhope and Chengzhao Zhang and Louis Theran and Marcelo A. Dias",
title = "Analytic analysis of auxetic metamaterials through analogy with rigid link systems",
year = "2018",
journal = "Proceedings of the Royal Society A",
volume = "474",
number = "2210",
pages = "",
doi = "10.1098/rspa.2017.0753"
}