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Analysis of a screw dislocation inside an elliptical inhomogeneity in piezoelectric solids
Institution:1. Engineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 Kings College Road, Toronto, Ontario, Canada M5S 3G8;1. Aino Institute of Regeneration and Rehabilitation, Aino University, 4-5-4 Higashiohda, Ibaraki, Osaka 567-0012, Japan;2. Department of Pharmacology, Faculty of Medicine, Osaka Medical College, 2-7 Daigaku-machi, Takatsuki, Osaka 569-8686, Japan;1. Department of Mathematics, Wenzhou University, Wenzhou 325035, PR China;2. Univ Lyon, Université Lyon 1, UMR 5208 du CNRS, Institut Camille Jordan, 43, blvd du 11 novembre 1918, F-69622 Villeurbanne Cedex, France;1. College of Science, China University of Petroleum (East China), Qingdao 266580, China;2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;3. School of Mathematical Sciences, Anhui University, Hefei 230601, China;1. Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia;2. Faculty of Special Technology, University of Trencin, 91150 Trencin Slovakia
Abstract:This paper formulates and examines the electro-elastic coupling effects resulting from the presence of a screw dislocation inside an elliptical piezoelectric inhomogeneity embedded in an infinite piezoelectric matrix. The general solution to this problem is obtained by conformal mapping and Laurent series expansion of the corresponding complex potentials. The appropriate expressions of the field potentials and the field components are given explicitly in both the inhomogeneity and the surrounding matrix using a perturbation technique. The internal energy and the force on the dislocation are computed and several specific examples are provided to illustrate the validity and versatility of the developed formulations.
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