In this paper, the Eshelby theory of static dislocation in infinite anisotropic medium is extended, and combining the integration method with Green tensor function, to treat a dislocation moving uniformly near free surface. We take the system of γ-Fe/free space as an example to perform numerical calculation, the result shows the influence of dislocation motion on its elastic fields. As the velocity of dislocation v→0, the result coincide with that of static disloca-tion. On field point more close to the surface, the influence of the surface becomes more significant. The calculated "image force" acting on the dislocation shows that the action of the surface is attractive in nature. The simple theory and method suggested in this paper can be applied to calculate the elastic field of and "image force" on moving dislocation in any anisotropic medium, and would be significant in investigation of mechanical properties of the me dium.
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