Edge dislocation interacting with an interfacial crack along a circular inhomogeneity |
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| Institution: | 1. Department of Engineering Mechanics, Hunan University, Changsha 410082, PR China;2. Solid Mechanics Research Center, Beijing University of Aeronautics and Astronautics, Beijing 100083, PR China;1. Department of Astronautic Science and Mechanics, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, China;2. Department of Mathematics, Harbin Institute of Technology, 92 West Dazhi Street, Harbin 150001, China;1. School of Mechanical and Power Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China;2. Department of Mechanical Engineering, University of Alberta, 10-203 Donadeo Innovation Centre for Engineering, Edmonton, Alberta T6G 1H9, Canada;1. College of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China;2. Department of Electronic and Electrical Engineering, The University of Sheffield, Sheffield S1 3JD, UK;3. State Key Laboratory of Transient Optics and Photonics, XIOPM, Chinese Academy of Sciences, Xi’an 710119, Shannxi, China;1. School of Materials Science and Engineering, Beijing Institute of Technology, Beijing 100081, China;2. Institute for Problems of Metals Superplasticity, Russian Academy of Sciences, Khalturina 39, Ufa 450001, Russia;3. Research Laboratory for Mechanics of New Nanomaterials, St. Petersburg State Polytechnical University, Polytechnicheskaya 29, St. Petersburg 195251, Russia;4. Institute of Physics of Advanced Materials, Ufa State Aviation Technical University, 12K. Marx Street, Ufa 450000, Russia;5. Materials Research Group, Faculty of Engineering and the Environment, University of Southampton, Southampton SO17 1BJ, UK |
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| Abstract: | The elastic interaction of an edge dislocation, which is located either outside or inside a circular inhomogeneity, with an interfacial crack is dealt with. Using Riemann–Schwarz’s symmetry principle integrated with the analysis of singularity of the complex potentials, the closed form solutions for the elastic fields in the matrix and inhomogeneity regions are derived explicitly. The image force on the dislocation is then determined by using the Peach–Keohler formula. The influence of the crack geometry and material mismatch on the dislocation force is evaluated and discussed when the dislocation is located in the matrix. It is shown that the interfacial crack has significant effect on the equilibrium position of the edge dislocation near a circular interface. The results also reveal a strong dependency of the dislocation force on the mismatch of the shear moduli and Poisson’s ratios between the matrix and inhomogeneity. |
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