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Reflection and transmission of elastic waves in non-local band-gap metamaterials: A comprehensive study via the relaxed micromorphic model
Institution:1. Laboratoire de Génie Civil et Ingénierie Environnementale, SMS-ID, Université de Lyon-INSA, Bâtiment Coulomb, 69621 Villeurbanne Cedex, France;2. Head of Lehrstuhl für Nichtlineare Analysis und Modellierung, Fakultät für Mathematik, Universität Duisburg-Essen, Thea-Leymann Str. 9, 45127 Essen, Germany;3. Lehrstuhl für Nichtlineare Analysis und Modellierung, Fakultät für Mathematik, Universität Duisburg-Essen, Thea-Leymann Str. 9, 45127 Essen, Germany;4. Alexandru Ioan Cuza University of Iaşi, Department of Mathematics, Blvd. Carol I, no. 11, 700506 Iasi, Romania;5. Laboratoire Modélisation Multi-Echelle, MSME UMR 8208 CNRS, Université Paris-Est, 61 Avenue du General de Gaulle, Creteil Cedex 94010, France;6. Institut Universitaire de France, 1, rue Descartes, 75231 Paris cedex 05, France;1. Department of Polymer Engineering and Color Technology, Amirkabir University of Technology, Tehran, Iran;2. Department of Mechanical Engineering, College of Engineering, Kyung Hee University, Yongin 446-701, Republic of Korea;1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China;2. Institute of Computing and Data Sciences, Chongqing University, Chongqing 400044, China;1. School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;4. College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, 450002, China
Abstract:
Keywords:Micromorphic elasticity  Dynamic problem  Wave propagation  Band-gap phenomena  Interface  Reflection  Transmission
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