  In $\R^d$, for any dimension $d\geq 1$, expansions of self-intersection local
times of fractional Brownian motions with arbitrary Hurst coefficients in
$(0,1)$ are presented. The expansions are in terms of Wick powers of white
noises (corresponding to multiple Wiener integrals), being well-defined in the
sense of generalized white noise functionals.
