subject to the boundary condition

regularity condition

and the radiation condition for (See Kupradze[51]), where ,

The solution
to this problem has an integral representation
given by

where is the fundamental solution of the equation of elastodynamics in the frequency domain expressed as

and

Using (3.136) and (3.138), one obtains the following hypersingular integral equation given by

where stands for the finite part of a divergent integral and is a traction vector associated with . The hypersingular integral equation (3.140) can be regularised as (See Appendix L.5)

where stands for the Cauchy principal value of a singular integral. We use (3.141) for a direct computation in FM-BIEM.