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A class of auxetic three-dimensional lattices |
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| Institution: | 1. College of Energy and Electrical Engineering, Hohai University, No. 8 Fochengxi Road, Nanjing 211100, PR China;2. School of Civil Engineering and Architecture, Wuyi University, No. 22 Dongcheng village, Jiangmen 529020, PR China;3. College of Aeronautics and Astronautics, Nanjing University of Aeronautics and Astronautics, No. 29 Yudao Street, Nanjing 210016, PR China |
| Abstract: | We propose a class of auxetic three-dimensional lattice structures. The elastic microstructure can be designed to have an omnidirectional Poisson's ratio arbitrarily close to the stability limit of −1. The cubic behaviour of the periodic system has been fully characterized; the minimum and maximum Poisson's ratio and the associated principal directions are given as a function of the microstructural parameters.The initial microstructure is then modified into a body-centred cubic system that can achieve Poisson's ratio lower than −1 and that can also behave as an isotropic three-dimensional auxetic structure. |
| Keywords: | Auxetic structure Microstructured medium Negative Poisson's ratio Elasticity Metamaterials |
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