caa a22 4500 46322891X CHVBK 20180405153235.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s10853-007-1583-0 doi (NATIONALLICENCE)springer-10.1007/s10853-007-1583-0 Interlocking hexagons model for auxetic behaviour [Elektronische Daten] [N. Ravirala, A. Alderson, K. Alderson] A 2D ‘Rough Particle' model consisting of interlocking hexagons is reported. Analytical expressions for the in-plane Poisson's ratios and Young's moduli due to particle translation along the geometrically matched male and female interlocks are derived for the model. The dependency of the mechanical properties on each of the model (geometrical and stiffness) parameters is provided, and it is shown that the assembly of interlocking hexagons deforming by particle translation along the interlocks displays auxetic (negative Poisson's ratio) behaviour. The model predictions are compared with experimental mechanical properties for auxetic polypropylene (PP) films and fibres. The model predicts the experimental Poisson's ratio values very well (model: νxy = −1.30, νyx = −0.77; experiment (PP films): ν|| = −1.12, $$\nu_{\bot} = -0.77$$ ). The model generally overestimates the Young's moduli of the films, but is in reasonable agreement with the axial Young's modulus of the fibres. Springer Science+Business Media, LLC, 2007 Ravirala N. Centre for Materials Research and Innovation, The University of Bolton, Deane Rd, BL3 5AB, Bolton, UK aut Alderson A. Centre for Materials Research and Innovation, The University of Bolton, Deane Rd, BL3 5AB, Bolton, UK aut Alderson K. Centre for Materials Research and Innovation, The University of Bolton, Deane Rd, BL3 5AB, Bolton, UK aut Journal of Materials Science Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 42/17(2007-09-01), 7433-7445 0022-2461 42:17<7433 2007 42 10853 https://doi.org/10.1007/s10853-007-1583-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10853-007-1583-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ravirala N. Centre for Materials Research and Innovation, The University of Bolton, Deane Rd, BL3 5AB, Bolton, UK aut NATIONALLICENCE 700 1- Alderson A. Centre for Materials Research and Innovation, The University of Bolton, Deane Rd, BL3 5AB, Bolton, UK aut NATIONALLICENCE 700 1- Alderson K. Centre for Materials Research and Innovation, The University of Bolton, Deane Rd, BL3 5AB, Bolton, UK aut NATIONALLICENCE 773 0- Journal of Materials Science Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 42/17(2007-09-01), 7433-7445 0022-2461 42:17<7433 2007 42 10853 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer