The interaction between a screw dislocation and a rigid wedge inhomogeneity with an elastic circular inhomogeneity at the tip |
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Authors: | Hao-Peng Song Cun-Fa Gao |
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Institution: | (1) Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC |
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Abstract: | The interaction between a screw dislocation and an elastic semi-cylindrical inhomogeneity abutting on a rigid half-plane is
investigated. Utilizing the image dislocations method, the closed form solutions of the stress fields in the matrix and the
inhomogeneity region are derived. The image force acting on the dislocation is also calculated. The results were used to study
the interaction between a screw dislocation and a rigid wedge inhomogeneity with an elastic circular inhomogeneity at the
tip by means of conformal mapping. The results show that an unstable equilibrium point of the dislocation near the semi-cylindrical
inhomogeneity is found when the inhomogeneity is softer than the matrix. Moreover, the force on the dislocation is strongly
affected by the position of the dislocation and the shear modulus of the semi-circular inhomogeneity. Positive screw dislocations
can reduce the SIF of the rigid wedge inhomogeneity (shielding effect) only when it located in the lower half-plane. The shielding
effect increases with the increase of the shear modulu of both the matrix and the inhomogeneity and increases with the increase
of the wedge angle. The shielding effect (or anti-shielding effect) reaches the maximum when the dislocation tends to the
wedge inhomogeneity interface. |
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Keywords: | |
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