A dislocation interacts with a finite crack in piezoelectric media |
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| Affiliation: | 1. State Key Laboratory of Powder Metallurgy, Central South University, Changsha, Hunan 410083, China;2. School of Civil Engineering, Central South University, Changsha, Hunan 410083, China;1. Department of Mechanics, College of Science, Inner Mongolia University of Technology, Hohhot 010051, PR China;2. Department of Civil Engineering, University of Siegen, 57068 Siegen, Germany;1. Piezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University, Ningbo, 315211, PR China;2. Institute for Infrastructure Engineering, Western Sydney University, Penrith, NSW 2751, Australia;1. ArGEnCo Department, MSM team, University of Liège, Liège, 4000, Belgium;2. Groupe de Physique des Matériaux, INSA Rouen, Université de Rouen, UMR CNRS 6634, Saint-Etienne du Rouvray 76800, France;3. Laboratoire de Cristallographie et Science des Matériaux, UNICAEN, Caen, 14050, France;4. Research Director of the Fonds de la Recherche Scientifique – FNRS, Belgium |
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| Abstract: | Analytical solutions for the generalized two-dimensional problem of a dislocation interacting with a finite crack in piezoelectric media are formulated via Stroh formalism. Two kinds of electrically boundary conditions along the crack surface, namely, electrically impermeable and electrically permeable are studied in the analysis. Based on the complex variable method and the perturbation technique, the closed form solutions are obtained. The field intensity factors at the crack tip and the image forces on the dislocation due to the crack are computed and discussed. |
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