  We study the asymptotic behaviour of the discrete elastic energies in
presence of the prestrain metric $G$, assigned on the continuum reference
configuration $\Omega$. When the mesh size of the discrete lattice in $\Omega$
goes to zero, we obtain the variational bounds on the limiting (in the sense of
$\Gamma$-limit) energy. In case of the nearest-neighbour and
next-to-nearest-neibghour interactions, we derive a precise asymptotic formula,
and compare it with the non-Euclidean model energy relative to $G$.
