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Design Method of Lightweight Metamaterials with Arbitrary Poisson’s Ratio

State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
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Materials 2018, 11(9), 1574; https://doi.org/10.3390/ma11091574
Received: 16 July 2018 / Revised: 23 August 2018 / Accepted: 23 August 2018 / Published: 1 September 2018
A heuristic approach to design lightweight metamaterials with novel configurations and arbitrary Poisson’s ratio is studied by using the functional element topology optimization (FETO) method. Mathematical model of the optimization problem is established, where the minimization of the mass is set as the objective, then a series of metamaterials with Poisson’s ratio ranging from −1.0 to +1.0 are designed by solving this model. The deformation resistance and vibration reduction performance of the novel metamaterials and conventional honeycomb are compared by numerical simulations. Specific stiffness analysis shows that the novel metamaterials are 5.6 to 21.0 times more resistant to deformation than that of the honeycomb, and frequency response shows about 60% improvement in vibration reduction performance. Finally, the lightweight effects of the novel metamaterials on deformation resistance and vibration reduction performance are analyzed, and further analysis reflects that the lightweight effects increase with the increase of the absolute value of the Poisson’s ratio. View Full-Text
Keywords: lightweight; metamaterials; functional element; topology optimization; deformation resistance; vibration reduction lightweight; metamaterials; functional element; topology optimization; deformation resistance; vibration reduction
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Qin, H.; Yang, D.; Ren, C. Design Method of Lightweight Metamaterials with Arbitrary Poisson’s Ratio. Materials 2018, 11, 1574.

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