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Three-dimensional quasi-static Green's function for an infinite transversely isotropic pyroelectric material under a step point heat source
Affiliation:1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;2. Department of Engineering Mechanics, Hunan University, Changsha 410082, PR China;1. Materials Mechanics Laboratory, Graduate Institute of Ferrous Technology (GIFT), Pohang University of Science and Technology (POSTECH), San 31 Hyoja-dong, Nam-gu, Pohang, Gyeongbuk 790-784, Republic of Korea;2. Dept. of Materials Science and Engineering, Korea University, Anam-dong, Seongbuk-gu, Seoul, Korea;3. School of Mechanical Engineering, Pusan National University, 2 Busandaehak-ro 63 Beon-gil, Geumjeong-gu, Busan 609-735, Republic of Koreaa;1. Laboratoire de Mécanique de Lille, UMR CNRS 8107, Université de Lille 1, 59650 Villeneuve d’Ascq, France;2. Laboratoire Modélisation et Simulation Multi-Echelle, UMR CNRS 8208, Université Paris-Est, 77454 Marne-la-Valle, France;1. Center of Advanced Systems and Technologies (CAST), School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. Center of Excellence in Design, Robotics and Automation (CEDRA), Mechanical Engineering Department, Sharif University of Technology, Tehran, Iran;1. Mechanical and Aerospace Engineering, University of California, Davis, CA 95616, USA;2. Mechanical and Aerospace Engineering, Embry-Riddle Aeronautical University, Prescott, AZ 86301, USA;1. Laboratoire des Sciences des Matériaux Inorganiques et Leurs Applications, Faculté des Sciences Semlalia, Université Cadi Ayyad, Marrakech, Morocco;2. Unité de Dynamique et Structure des Matériaux Moléculaires, Université du Littoral- Côte d’Opale, Calais, France;1. College of Chemistry & Chemical Engineering, Guangxi University, Nanning 530004, China;2. Key Lab of Advanced Materials of Tropical Island Resources, Ministry of Education, College of Materials & Chemical Engineering, Hainan University, Haikou 570228, China
Abstract:Based on the three-dimensional quasi-static general solution of the transversely isotropic pyroelectric material, the Green's function for an infinite transversely isotropic pyroelectric material under a step point heat source is presented in this paper. Firstly, a suitable function with an undetermined constant is constructed. Secondly, the Green's function can be obtained by substituting this function into the general solution. The undetermined constant can be determined by the heat conservation equation. Finally, the numerical results are shown in form of contours at the different times.
Keywords:Pyroelectric material  Quasi-static  Green's function  Step point heat source
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