In a rotationally inhomogeneous medium the elastic constants show an angular dependence Cijkl (ω) around an axis. Grain boundaries, bicrystals, wedges and wedge cracks are special cases of a rotationally inhomogeneous medium. The displacement field u and the vector Airy stress function Ø for a dislocation with Burgers vector b and a line force of strength f acting along the central axis of such a medium are derived in terms of the integral theory of elasticity.
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H. O. K. Kirchner (1987) studied this question.
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