Dispersion of elastic waves in a micropolar metamaterial plate with periodical arranged resonators |
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| Institution: | 1. School of Civil and Transportation Engineering, Hebei University of Technology, 5340 Xiping Road, Beichen District, Tianjin 300401, China;2. Department of Applied Mechanics, University of Science and Technology Beijing, 30 Xueyuan Road, Haidian District, Beijing 100083, China;1. Faculty of Civil Engineering, HCMC University of Technology and Education, Vietnam;2. Institute of Theoretical and Applied Research, Duy Tan University, Hanoi 100000, Vietnam;3. Faculty of Civil Engineering, Duy Tan University, Danang 550000, Vietnam;4. Graduate University of Science and Technology, VAST, Vietnam;5. Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, Vietnam;6. School of Mechanical Engineering, Changwon National University, South Korea;7. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan;1. Department of Mathematics, Pachhunga University College, Aizawl 796 001, Mizoram, India;2. Department of Mathematics & Computer Science, Mizoram University, Aizawl 796 004, Mizoram, India;1. School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, Gansu, P.R. China;2. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi''an Jiaotong University, Xi''an 710049, Shaanxi, P.R. China;3. School of Science, Lanzhou University of Technology, Lanzhou 730050, Gansu, P.R. China;1. Department of Geotechnical Engineering, Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, College of Civil Engineering, Tongji University, 1239 Siping Road, Shanghai 200092, PR China;1. Wuyi University, Department of Mathematics and Computer, Fujian 354300, China;2. School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China;3. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang 330063, China;4. Changzhou Institute of Technology, Changzhou 213032, China |
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| Abstract: | The wave propagation in a micropolar elastic metamaterial is investigated in this paper. The elastic metamaterial is composed of the micropolar elastic host material and the periodically arranged local resonators. Compared with the classical elastic metamaterial, the micropolar elastic metamaterial has more material parameters that can be elaborately designed to manipulate the elastic wave propagation. By introducing additional displacement fields, a multi-displacement continuum model of the micropolar elastic metamaterial is presented to characterize the resonance behavior of the resonators and the microstructure effects of the unit cell. According to this continuum model, two independent wave systems exist: one is a longitudinal system and the other is a shear and rotation coupled transversal system. The dispersive curves and band gaps of the longitudinal and transversal systems are numerically discussed and the influences of the resonators are mainly considered. |
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