Strek Tomasz, Jopek Hubert, Idczak Eligiusz, Wojciechowski Krzysztof W
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.
Materials (Basel). 2017 Dec 4;10(12):1386. doi: 10.3390/ma10121386.
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.
本文对由两相复合材料制成的蜂窝结构和凹腔蜂窝结构进行了有限元分析，该复合材料针对选定参数进行了优化。结果表明，复合材料中各相的某些分布会导致结构出现与直觉相悖的力学行为。特别是，对于六边形蜂窝结构，可以获得有效泊松比的负值，即有效负泊松比效应，而凹腔几何结构的有效泊松比可能为正值。采用移动渐近线法（MMA）和带惩罚项的固体各向同性材料模型（SIMP）进行拓扑优化，以确定材料的分布。
