Interaction of an edge dislocation with a coated elliptic inclusion

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:48

Article

Chen, Fu Mo²  Chao, Ching Kong¹  Chen, Chin Kun³ 

[1] Natl Taiwan Univ Sci & Technol, Dept Mech Engn, Taipei, Taiwan

[2] Nan Kai Univ Technol, Dept Mech Engn, Tsao Tun, Taiwan

[3] Inst Nucl Energy Res Atom Energy Council, Longtan Township 32546, Taoyuan Country, Taiwan

关键词: Conformal mapping;    Edge dislocation;    Image force;    Alternating technique;    Analytical continuation;   

DOI  :  10.1016/j.ijsolstr.2011.01.027

来源: Elsevier

【 摘 要 】

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. (C) 2011 Elsevier Ltd. All rights reserved.

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