It was recalled that the classical elastostatic displacement field had a biharmonic nature which could be conveniently expressed by the Papkovich-Neuber formula. This could be easily transformed into the superposition of 2 distinctive biharmonic components. These in turn could be viewed as being the limits of uniformly moving wave fields which were then coupled together to provide an acceptable resultant field. This approach had been successfully used to reproduce the Easons solution for a uniformly moving point force, and was here used to reproduce the Eshelby solution for a uniformly moving edge dislocation.

The Uniformly Moving Edge Dislocation. M.A.Jaswon, K.E.K.El-Damanawi: Zeitschrift für Angewandte Mathematik und Mechanik, 2001, 81[2], 135-9