An approximate solution of the interaction force between an edge dislocation and an inclusion of arbitrary shape was derived, from which a set of succinct formulas for several special inclusion shapes were obtained. As compared with several classical solutions to special inclusion shapes, the present approximate solution has fairly good accuracy.

An Approximate Solution of the Interaction between an Edge Dislocation and an Inclusion of Arbitrary Shape. J.Shi, Z.Li: Mechanics Research Communications, 2006, 33[6], 804-10