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Materials 2017, 10(12), 1386;

Computational Modelling of Structures with Non-Intuitive Behaviour

Institute of Applied Mechanics, Poznan University of Technology ul. Jana Pawła II 24, 60-965 Poznan, Poland
Institute of Molecular Physics, Polish Academy of Sciences M. Smoluchowskiego 17, 60-179 Poznan, Poland
Author to whom correspondence should be addressed.
Received: 30 October 2017 / Revised: 22 November 2017 / Accepted: 1 December 2017 / Published: 4 December 2017
(This article belongs to the Special Issue Auxetic Materials 2017-2018)
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This paper presents a finite-element analysis of honeycomb and re-entrant honeycomb structures made of a two-phase composite material which is optimized with respect to selected parameters. It is shown that some distributions of each phase in the composite material result in the counter-intuitive mechanical behaviour of the structures. In particular, negative values of effective Poisson’s ratio, i.e., effective auxeticity, can be obtained for a hexagonal honeycomb, whereas re-entrant geometry can be characterized by positive values. Topology optimization by means of the method of moving asymptotes (MMA) and solid isotropic material with penalization (SIMP) was used to determine the materials’ distributions. View Full-Text
Keywords: auxetic; negative Poisson’s ratio; honeycomb; re-entrant honeycomb; topology optimization; anomalous properties; computer simulations auxetic; negative Poisson’s ratio; honeycomb; re-entrant honeycomb; topology optimization; anomalous properties; computer simulations

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Strek, T.; Jopek, H.; Idczak, E.; Wojciechowski, K.W. Computational Modelling of Structures with Non-Intuitive Behaviour. Materials 2017, 10, 1386.

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