A Screw Dislocation Interacting with a Lip-Shaped Crack Bonded by a Strained Reinforcement Layer under Remote Longitudinal Shear Load

Author:

Yu Min1,Liu You Wen2

Affiliation:

1. Central South University of Forestry and Technology

2. Hunan University

Abstract

The interaction between a screw dislocation and a reinforced lip-shaped crack embedded in an infinite matrix subjected to a remote longitudinal shear load is investigated in this paper. By combining the sectionally holomorphic function theory, Cauchy singular integral, singularity analysis of complex functions and Riemann boundary problem, the problem is reduced to solve an elementary complex potentials equation. The general expressions of complex function in the matrix and the reinforcement layer are derived explicitly in series form for the case when the screw dislocation is located in the matrix. The image force acting on the screw dislocation and the stress intensity factor are also calculated. Some numerical results are provided to discuss the effects of dislocation position, material parameters, geometric configurations and eigenstrain on the image force.

Publisher

Trans Tech Publications, Ltd.

Subject

General Engineering

Reference9 articles.

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2. E. Smith: Vol. 6(1) (1968), pp.129-143.

3. E. Smith: International Journal of Engineering and Science Vol. 6(1) (1968), pp.145-152.

4. C. Xie, Y. W. Liu, Q. H. Fang, et al.: Theoretical Applied Fracture Mechanics Vol. 51(2) (2009), p.139–143.

5. Y. W. Liu, C. Xie, C. Z. Jiang, Q. H. Fang: Applied Mathematics and Mechanics Vol. 31 (2010), pp.1125-1140.

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