  We consider a free-boundary and free-discontinuity energy connecting phase
separation and fracture in an elastic material. The energy excludes the
contribution of phase boundaries in the cracked region, providing a heuristic
approximation of the interfacial energy in the current material configuration.
Our primary result shows that the sharp energy may be recovered via
Gamma-convergence from a modified Cahn-Hilliard energy coupled with an
Ambrosio-Tortorelli-type approximation of the (linear) elastic and fracture
energy.
