  We study an atomistic model that describes the microscopic formation of
material voids inside elastically stressed solids under an additional curvature
regularization at the discrete level. Using a discrete-to-continuum analysis,
by means of a recent geometric rigidity result in variable domains [27] and
{\Gamma}-convergence tools, we rigorously derive effective linearized continuum
models for elastically stressed solids with material voids in three-dimensional
elasticity.
