Planar auxeticity from elliptic inclusions

被引:94
作者
Pozniak, Artur A. [1 ]
Wojciechowski, Krzysztof W. [2 ]
Grima, Joseph N. [3 ,4 ]
Mizzi, Luke [4 ]
机构
[1] Poznan Univ Tech, Dept Tech Phys, Piotrowo 3, PL-60965 Poznan, Poland
[2] Polish Acad Sci, Inst Mol Phys, M Smoluchowskiego 17, PL-60179 Poznan, Poland
[3] Univ Malta, Fac Sci, Dept Chem, Msida 2080, Msd, Malta
[4] Univ Malta, Fac Sci, Metamat Unit, Msida 2080, Msd, Malta
关键词
Mechanical properties; Smart materials; Finite element analysis (FEA); Negative Poisson's ratio; EFFECTIVE ELASTIC PROPERTIES; POISSONS RATIO; MECHANICAL-PROPERTIES; COMPOSITES; BEHAVIOR; METAMATERIALS; SHAPE; SIZE;
D O I
10.1016/j.compositesb.2016.03.003
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Composites with elliptic inclusions of long semi-axis a and short semi-axis b are studied by the Finite Element method. The centres of ellipses form a square lattice of the unit lattice constant. The neighbouring ellipses are perpendicular to each other and their axes are parallel to the lattice axes. The influence of geometry and material characteristics on the effective mechanical properties of these anisotropic composites is investigated for deformations applied along lattice axes. It is found that for anisotropic inclusions of low Young's modulus, when a + b -> 1 the effective Poisson's ratio tends to -1, while the effective Young's modulus takes very low values. In this case the structure performs the rotating rigid body mechanism. In the limit of large values of Young's modulus of inclusions, both effective Poisson's ratio and effective Young's modulus saturate to values which do not depend on Poisson's ratio of inclusions but depend on geometry of the composite and the matrix Poisson's ratio. For highly anisotropic inclusions of very large Young's modulus, the effective Poisson's ratio of the composite can be negative for nonauxetic both matrix and inclusions. This is a very simple example of an auxetic structure being not only entirely continuous, but with very high Young's modulus. A severe qualitative change in the composite behaviour is observed as a/b reaches the limit of 1, i.e. inclusions are isotropic. The observed changes in both Poisson's ratio and Young's modulus are complex functions of parameters defining the composite. The latter allows one to tailor a material of practically arbitrary elastic parameters. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:379 / 388
页数:10
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