on both sides of (3.7), one obtains the integral representation for given by

Suppose that is given, one can compute stress fields with (3.10). One can see that the integrals in (3.4), (3.7) and (3.10) contain the product of the single-layer kernel (or the double-layer kernel) and the density function. Namely, if once one implements FM-BIEM for crack problems, one can simultaneously deal with ordinary boundary value problems, displacement fields and stress fields with FM-BIEM. In view of this the analysis of crack problems with FMM is considered to be more versatile than it appears, since techniques proposed in this thesis are not restricted to crack problems. Although we have restricted the discussion to elastostatics, the same is true in other governing equations. This is one of the reasons why we deal with crack problems in this thesis.