Efficient boundary element formulations are presented for the analysis of anisotropic media due to common loadings such as inertial and centrifugal forces, and known temperature. The study is made comprehensive by considering both two- and three-dimensional behaviors. The anisotropy considered is of the most general form, viz. monoclinic for plane stress/strain behavior and the one with 21 independent elastic constants for the general three-dimensional case. While closed-form implicit fundamental solutions are employed for two-dimensional analysis, those for three-dimensional analysis are numerically computed. The body forces are accounted for via particular integrals so that only boundary discretization is necessary.