  We perform an analysis of the size effect for quasistatic growth of fractures
in linearly isotropic elastic bodies under antiplanar shear. In the framework
of the variational model proposed by G.A. Francfort and J.-J. Marigo in [14],
we prove that if the size of the body tends to infinity, and even if the
surface energy is of cohesive form, under suitable boundary displacements the
fracture propagates following the Griffith's functional.

Analysis of PDEs