The following quantities have been calculated for anisotropic overlayers of
cubic crystals: (i) a set of useful stiffness constant transformation rela
tions together with error probes i.e. equations for checking the correctnes
s of the transformed quantities when reduced to isotropic medium, (ii) the
transformed stiffness constants, (iii) Hookian relation and strain energy d
ensity for fee {111} ultra-thin overlayer. A direct application of the calc
ulated quantities to Si {111} overlayer is also discussed.