Accurate fracture prediction is essential in aerospace engineering to ensure structural reliability. Classical finite element methods based on local continuum mechanics present inherent limitations in the presence of cracks. Peridynamics (PD), a non-local continuum formulation, addresses these issues by naturally modelling damage initiation and crack propagation through integral equations. However, the standard mesh-free PD implementation is computationally demanding, which may limit its applicability to large-scale simulations. The Fast Convolution-Based Method (FCBM) improves computational efficiency by exploiting the convolutional structure of PD operators and the Fast Fourier Transform, but may reduce accuracy in fracture simulations due to its node-removal-based crack representation. To overcome this limitation, a hybrid peridynamic framework is considered, combining mesh-free PD and FCBM within the same computational domain. The transition between the two formulations is driven by a local strain energy criterion, ensuring that the mesh-free approach is employed in regions where fracture processes are active. The method is formulated for both Bond-Based and Ordinary State-Based PD and applied to two- and three-dimensional fracture problems. Numerical benchmarks show that the hybrid strategy preserves the mesh-free PD solutions while reducing computational time by up to 80%.