In the absence of specialized treatments, local models based on classical continuum mechanics often yield inaccurate results when applied to problems involving discontinuities, such as crack initiation and propagation. On the other hand, nonlocal models offer a robust alternative to deal with such challenges in fracture mechanics. For example, peridynamics is a nonlocal theory mainly used to model elasticity and fracture, whereas the phase field model employs a nonlocal formulation specifically for modeling fracture. Both these approaches incorporate an intrinsic length scale into the formulation, which serves to prevent stress singularities at crack tips. Additionally, this characteristic length scale enables the modeling of physical phenomena that inherently involve finite-length effects. Despite their advantages, numerical methods based on nonlocal formulations tend to be less computationally efficient than their local counterparts. This minisymposium aims to foster insightful discussions among researchers in mathematics, computational methods, and engineering applications. Its primary objective is to deepen the understanding of the role of nonlocality in fracture mechanics and related fields, emphasizing both its advantages and limitations. By bringing together experts from diverse disciplines, the minisymposium seeks to promote the exchange of ideas, stimulate interdisciplinary collaboration, and lay the groundwork for future research partnerships. Topics of interest include (but are not limited to): 1. Mathematical and numerical analysis of nonlocal models 2. Nucleation and propagation of damage in nonlocal models (impacts, fatigue, etc.) 3. Nonlocal constitutive models of heterogeneous, anisotropic, and/or nonlinear materials 4. Peridynamics: nonlocal elasticity, wave dispersion, material stability, etc. 5. Phase field: variational formulations, stress regularization, phase transformations, etc. 6. Nonlocality in other fields: diffusion, heat transfer, fluid dynamics, etc. 7. Multiphysics nonlocal modeling: stress-corrosion, electro-thermo-mechanics, etc. 8. Multiscale modeling: local/nonlocal and nonlocal/atomistic coupling 9. Contact and interface mechanics with nonlocal models 10. Applications in science and industry: material failure, image processing, etc. 11. Numerical methods, solvers, and machine learning applications for nonlocal models