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The elliptical Hertzian contact of transversely isotropic magnetoelectroelastic bodies
Institution:1. Department of Engineering Mechanics, Hunan University, Changsha 410082, PR China;2. Department of Building and Construction, City University of Hong Kong, Hong Kong, Hong Kong;3. Department of Civil Engineering, Zhejiang University, Hangzhou 310027, PR China;1. School of Mechanical and Aerospace Engineering, Nanyang Technological University of Singapore, 50 Nanyang Avenue, Singapore 639798, Singapore;2. Infineon Technologies Pte Ltd, 8 Kallang Sector, Singapore 349282, Singapore;1. LaMIPI, Higher School of Technical Education of Rabat (ENSET), Mohammed V University in Rabat, Rabat, Morocco;2. Department of Mechanical Engineering, Faculty of Engineering, Kind Abdulaziz University, Jeddah, Saudi Arabia;3. MMC, Department of Mathematics, Faculty of Sciences and Techniques of Tangier, Abdelmalek Essaadi University, BP 416 Tangier, Morocco;1. School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China;2. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology and School of Mechanical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China;3. School of Civil and Mechanical Engineering, Curtin University, Perth, Western Australia 6845, Australia
Abstract:First, the general solution for transversely isotropic magnetoelectroelastic media is given concisely in form of five harmonic functions. Second, the extended Boussinesq and Cerruti solutions for the magnetoelectroelastic half-space are obtained in terms of elementary functions by utilizing this general solution. Third, the coupled fields for elliptical Hertzian contact of magnetoelectroelastic bodies are solved in smooth and frictional cases. At last, the graphic results are presented.
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