Type-II superconductors, even without bulk pinning and in the absence of a macroscopic BeanLivingston surface barrier for vortex penetration, can exhibit barriers for flux penetration. We investigated some new edge barriers based on the laminar model, that are governed by the anisotropy ratio, grain coupling strength, and grain size. Expressions describing the pinning potential U p and critical current density J c are derived for magnetic fields near H c1 . It is shown that edge barrier effects play a substantial role in a realistic description of the critical current density for both MgB 2 and high-T c superconductors.