On a bounded elliptic elastic inclusion in plane magnetoelasticity |
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| Institution: | 1. School of Civil Engineering, Central South University, Changsha, Hunan 410083, PR China;2. Center for Built Infrastructure Research, School of Civil and Environmental Engineering, University of Technology Sydney, NSW 2007, Australia;3. Department of Civil, Construction and Environmental Engineering, Iowa State University, Ames, IA 50011, USA;4. Department of Civil Engineering, Monash University, Clayton, VIC 3800, Australia;1. Univ.Lille, CNRS, ULCO, UMR8187, Laboratoire d’Océanologie et de Géosciences F-62930 Wimereux, France;2. NormandieUniv., UNICAEN, Laboratoire Morphodynamique Continentale et Côtière, UMR6143M2C, 24 rue des Tilleuls, F-14000 Caen, France;3. Normandie univ., UNICAEN, Laboratoire des Sciences Appliquées de Cherbourg, EA 4253 and Conservatoire National des Arts et Métiers, INTECHMER, 50100 Cherbourg, France;4. CNRS,Univ. Lille, ULCO, UMR8187, Laboratoire d’Océanologie et de Géosciences F-62930 Wimereux, France;5. Department of Marine Resource and Energy, Tokyo University of Marine Science and Technology, 4-5-7 Konan, Minato-ku, Tokyo 108-8477, Japan;6. Department of Zoology and Entomology, Rhodes University, Grahamstown 6140, South Africa;1. Yinshanbeilu Grassland Eco-hydrology National Observation and Research Station, China Institute of Water Resources and Hydropower Research, Beijing, China;2. Institute of Water Resources for Pastoral Area Ministry of Water Resources, Hohhot, Inner Mongolia, China;3. Key Laboratory of Ecology and Resources Use of the Mongolian Plateau of Ministry of Education, Hohhot, Inner Mongolia, China;4. School of Ecology and Environment, Inner Mongolia University, Hohhot, China |
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| Abstract: | The problem of an elliptic inclusion embedded in an infinite matrix subjected to a uniform magnetic induction is considered in this paper. Basing upon the two-dimensional magnetoelastic formulation, the technique of conformal mapping, and the method of analytical continuation, a general solution of magnetic field quantities and the magnetoelastic stresses are obtained for both the matrix and the inclusion. Comparison is made with several special cases of which the analytical solutions can be found in the literature, which shows that the solutions presented here are general and exact. Moreover, the magnetoelastic stresses at the interface between the inclusion and the matrix are presented with figures. |
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