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The aim of this paper is to provide new results and insights for a screwdislocation in functionally graded media within the gauge theory ofdislocations. We present the equations of motion for dislocations ininhomogeneous media. We specify the equations of motion for a screw dislocationin a functionally graded material. The material properties are assumed to varyexponentially along the x and y-directions. In the present work we give theanalytical gauge field theoretic solution to the problem of a screw dislocationin inhomogeneous media. Using the dislocation gauge approach, rigorousanalytical expressions for the elastic distortions, the force stresses, thedislocation density and the pseudomoment stresses are obtained depending on themoduli of gradation and an effective intrinsic length scale characteristic forthe functionally graded material under consideration.

A screw dislocation in a functionally graded material using the translation gauge theory of dislocations