  Bond-based peridynamics is a nonlocal continuum model in Solid Mechanics in
which the energy of a deformation is calculated through a double integral
involving pairs of points in the reference and deformed configurations. It is
known how to calculate the {\Gamma}-limit of this model when the horizon
(maximum interaction distance between the particles) tends to zero, and the
limit turns out to be a (local) vector variational problem defined in a Sobolev
space, of the type appearing in (classical) hyperelasticity. In this paper, we
impose frame-indifference and isotropy in the model and find that very few
hyperelastic functionals are {\Gamma}-limits of the bond-based peridynamics
model. In particular, Mooney-Rivlin materials are not recoverable through this
limit procedure.
