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Green’s function for torsional waves in a cylindrically monoclinic material
Affiliation:1. Department of Mechanical Engineering, Yamagata University, Yonezawa, Yamagata 992-8510, Japan;2. Department of Mathematics and Computer Science, Adelphi University, Garden City, NY 11530, USA;1. Division of Technology for Energy Systems and Renewable Energy, Bavarian Center for Applied Energy Research, 85748 Garching, Germany;2. Institute for Energy Systems, Faculty of Mechanical Engineering, Technical University Munich, 85748 Garching, Germany;3. School of Power and Mechanical Engineering, Wuhan University, 430072 Wuhan, China;4. School of Civil Engineering, Hunan University of Technology, 412007 Zhuzhou, China;1. Building Works Design Group, Hyundai E&C Co. Ltd., Seoul 110-920, Republic of Korea;2. Department of Architecture, Inha University, Incheon 402-751, Republic of Korea;3. Department of Civil and Environmental Engineering, KAIST, Daejeon 305-701, Republic of Korea;1. Graduate School of Environmental Studies, Nagoya University, Furocho, Chikusa, Nagoya, Aichi 464-8601, Japan;2. Nagoya University/National Institute for Environmental Studies (NIES), 16-2 Onogawa, Tsukuba, Ibaraki 305-8506, Japan;1. Danfoss A/S, Refrigeration and Air Conditioning, Nordborgvej 81, Nordborg, Denmark;2. Royal Institute of Technology, Department of Energy Technology, Division of Applied Thermodynamics and Refrigeration, Stockholm, Sweden
Abstract:Two exact Green’s functions for impulsive and time-harmonic torsional waves in a monoclinic material are presented. The impulsive Green’s function is expressed in the closed form of simple algebraic functions and its wave front shape is a torus with inclined elliptic cross section. The time-harmonic Green’s function is also obtained exactly, but in the form of definite integral. Time development of the wave front for the impulsive wave and amplitude contours for the time-harmonic wave are illustrated.
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