Total planetesimal accretion rates for three different disks as a function of the core mass. The case without planetesimal fragmentation is shown as dotted lines. For this case, the critical mass is achieved for the three different disks in less than 6 Myr. When planetesimal fragmentation is incorporated the total planetesimal accretion rates significantly drop. Despite the lower values of the core masses, the fragmentation process truncated the embryo growth.