It was recalled that the classical electrostatic displacement field had a biharmonic nature which could be described by the Papkovich-Neuber formula. This could be transformed into a superposition of 2 distinctive biharmonic components. These could then be depicted as being the limits of uniformly moving wave fields which could be coupled together to provide a resultant field. The approach was successfully used to recover Easons’ solution for a uniformly moving point force, and Eshelby’s 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