A local fracture energy model originally proposed to explain the influence of fracture process zone (FPZ) on fracture energy of cementitious materials is further developed in this study. By assuming a bilinear distribution for the fracture energy distribution, the ligament-dependent fracture energyGf is obtained. The analytical expression ofGf contains two important prameters: the intrinsic size-independent fracture energyGF and a reference ligament sizeal* which determines the intersection of the two linear fracture energy functions. It is shown that the ligament-dependentGf approaches the size-independentGF asymptotically. As a result,GF can be determined from the ligament-dependentGf results. It is also found that while the reference ligament sizeal* is influenced by the specimen geometry, size and loading conditions, the derived fracture energyGF is virtually constant. The present local fracture energy distribution model is also discussed and compared with the original local fracture energy model.