Interaction of an edge dislocation with a coated elliptic inclusion |
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Authors: | Fu Mo Chen Ching Kong Chao Chin Kun Chen |
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Affiliation: | 1. Department of Mechanical Engineering, Nan-Kai University of Technology, 568 Chung Cheng Road, Tsao Tun, Taiwan;2. Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei, Taiwan;3. Institute of Nuclear Energy Research Atomic Energy Council, 3-21 No. 1000, Wenhua Rd., Jiaan Village, Longtan Township, Taoyuan Country 32546, Taiwan |
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Abstract: | This paper presents an analytical solution for plane elasticity problems of an elliptically cylindrical layered media subject to an arbitrary edge dislocation. Based on the technique of conformal mapping and the method of analytical continuation in conjunction with the alternating technique, the general expressions of the displacements and stresses, where an edge dislocation is located in matrix, coating layer and inclusion are obtained. The numerical results of image forces exerted on a generalized edge dislocation are carried out by using the generalized Peach–Koehler equation. As a numerical illustration, both the image forces and equilibrium positions are presented for different material combinations and relative thickness of a coating layer. The result shows that the thickness and the shear modulus of the coating layer have a strong influence on the stability of dislocation. |
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