3D coupled field in a transversely isotropic magneto-electro-elastic half space punched by an elliptic indenter |
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| Institution: | 1. College of Aerospace Engineering, Chongqing University, Chongqing, 400030, China;2. Institut für Mechanik, Technische Universität Berlin, 10623 Berlin, Germany;3. Department of Mechanical Engineering, Northwestern University, Evanston, IL, 60208, USA;1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;3. Institute of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, D-67653 Kaiserslautern, Germany;4. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, PR China;1. Institut für Mechanik, Technische Universität Berlin, 10623 Berlin, Germany;2. Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, Universidad Nacional Autónoma de México, Apartado Postal 20-126, Alcaldía Alvaro Obregón 01000, CDMX, México;1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;2. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;3. Institute of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, D-67653 Kaiserslautern, Germany;4. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, PR China;5. State Key Laboratory of Mechanical and Control of Mechanical structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, PR China;1. School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China;2. Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin 150080, China |
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| Abstract: | The present paper is concerned with three-dimensional (3D) coupled field in a transversely isotropic magneto-electro-elastic half space punched by a rigid flat-ended elliptic indenter. Closed form solutions and corresponding numerical results are presented in this work, in a systematic manner. The material in question is transversely isotropic with the axis of symmetry normal to the surface of the half space. The indenter is assumed to be either electrically and magnetically conducting or insulating. Corresponding boundary integral equations (BIEs), to indenter with different magneto-electric properties, are solved by virtue of the method of generalized potential theory. For all four physical cases, corresponding coupled magneto-electro-elastic fields in the half space are obtained. The present analytical solutions indicate that the indentation forces and stiffness may be written as intrinsic combinations of a physical factor and a geometrical factor. The present study is an extension of the previous work on circular punch, and may find applications in guiding future indentation experiments. |
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| Keywords: | Magneto-electro-elastic medium Indentation Elliptical indenter Potential theory method |
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