header

Multifunctional Elastic Metasurface Design with Topology Optimization

34 Pages Posted: 30 Oct 2019 Publication Status: Accepted

See all articles by Junjie Rong

Junjie Rong

Hong Kong University of Science & Technology (HKUST) - Department of Mechanical and Aerospace Engineering

Wenjing Ye

Hong Kong University of Science & Technology (HKUST) - Department of Mechanical and Aerospace Engineering

Abstract

Metasurfaces have emerged as promising materials for wave manipulation due to their compact form. While various innovative designs have been proposed and impressive wave-shaping capabilities have been demonstrated, the practical applications of these materials require additional features and functionalities such as high-energy transmission and robust manipulation, which are difficult to realize based on physics-driven design approaches. In this work, we propose a systematic design method based on topology optimization for the design of elastic metasurfaces with multiple objectives/requirements. Theoretical analyses were conducted to identify the conditions for achieving high transmission and robust manipulation. Based on the analyses, a topology optimization formulation is proposed for achieving specific phase delays and high transmission within a given frequency band. Genetic algorithm is adopted to solve the optimization problem, with special treatments on the structural connectivity. Both locally resonant and non-resonant structures can be obtained from this method, and there is no need to pre-determine the type of structures to be designed. Depending on the design emphasis and the working frequency range, the proposed design method can automatically determine the best type of structures that meet the design requirements. With this method, metasurfaces for anomalous refraction of longitudinal waves were designed. Nearly full transmission with robust performance has been confirmed by numerical simulations. To demonstrate the generality of the proposed method, a multi-functional metasurface for simultaneously control of longitudinal and shear waves has also been designed, which is the first realization of such functionality.

Keywords: Topology optimization, Elastic metasurface, Robust design, Genetic algorithm, Mixed type elastic wave manipulation

Suggested Citation

Rong, Junjie and Ye, Wenjing, Multifunctional Elastic Metasurface Design with Topology Optimization (October 23, 2019). Available at SSRN: https://ssrn.com/abstract=3474535 or http://dx.doi.org/10.2139/ssrn.3474535

Junjie Rong

Hong Kong University of Science & Technology (HKUST) - Department of Mechanical and Aerospace Engineering

Hong Kong

Wenjing Ye (Contact Author)

Hong Kong University of Science & Technology (HKUST) - Department of Mechanical and Aerospace Engineering ( email )

Hong Kong

Here is the Coronavirus
related research on SSRN

Paper statistics

Abstract Views
250
Downloads
53
PlumX Metrics