Abstract
The classical elastostatic displacement field has a biharmonic character, conveniently expressed by the Papkovich-Neuber formula. This can be quickly transformed into a Stokes-Helmoltz representation involving the superposition of two distinctive biharmonic vectors. These can be exhibited as the limits of uniformly moving fields, which are then coupled together to provide an acceptable resultant field i.e. it satisfies the Navier-Cauchy equations; it reduces to the static limit for a vanishing velocity; and it can be rearranged into Lame's representation involving the superposition of two distinctive wave vectors. Some well well known results of Eshelby,and of Eason et al, obtained by Fourier transform methods, have been recovered by this approach and some further results achieved.
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