A theoretical description of vortex dynamics in thin flat samples is d
erived and is found to compare favorably with experimental results. In
perpendicular applied magnetic field the vortex penetration is delaye
d significantly due to the presence of a potential barrier of geometri
cal origin. This novel geometrical barrier effect results in hystereti
c magnetization and in the existence of an irreversibility line in the
absence of bulk pinning. Among the unique characteristics of the barr
ier are a vortex concentration in the center of the sample and a zero-
field peak in the magnetization loops.