Auxetic two-dimensional lattices with Poisson's ratio arbitrarily close to −1

  title={Auxetic two-dimensional lattices with Poisson's ratio arbitrarily close to −1},
  author={L. Cabras and Michele Brun},
  journal={Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
  • L. Cabras, M. Brun
  • Published 21 July 2014
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
In this paper, we propose a class of lattice structures with macroscopic Poisson's ratio arbitrarily close to the stability limit −1. We tested experimentally the effective Poisson's ratio of the microstructured medium; the uniaxial test was performed on a thermoplastic lattice produced with a three-dimensional printing technology. A theoretical analysis of the effective properties was performed, and the expression of the macroscopic constitutive properties is given in full analytical form as a… 
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