  In this paper, we have formulated a phase-field model based on the
grand-potential functional for the simulation of precipitate growth in the
presence of coherency stresses. In particular, we study the development of
dendrite-like patterns arising out of diffusive instabilities during the growth
of a precipitate in a supersaturated matrix. Here, we characterize the role of
elastic energy anisotropy and its strength on the selection of a dendrite tip
radius and velocity. We find that there is no selection of a unique tip shape
as observed in the case of solidification, and the selection constant
$\sigma^{*}=2d_0D/R_{tip}^{2}V_{tip}$ increases linearly with simulation time
for all the simulation conditions (where $R_{tip}$ and $V_{tip}$ are the tip
radius and velocity). Therefore, structures derived in solid-state in the
presence of elastic anisotropy may only be referred to as dendrite-like.
