This colloquium focuses on recent advances in fracture and interface mechanics, with particular emphasis on peridynamics—a nonlocal continuum theory effective in modeling discontinuities. The event aims to foster discussion on crack propagation, interface behavior, and multiscale modeling in complex materials like composites and metamaterials. It encourages comparison between peridynamics and alternative methods such as phase-field, XFEM, and cohesive zone models. Topics include coupled multi-physics phenomena, computational efficiency, and emerging machine learning approaches. By promoting interdisciplinary collaboration, the colloquium seeks to highlight peridynamics as a promising framework for addressing theoretical and applied challenges in materials science and engineering.