YIC2025

Exploring Nonlocal Fracture Features in Peridynamic Materials

  • Damian, Sofia (University of Trento)
  • Cavuoto, Riccardo (University of Naples "Federico II")
  • Pugno, Nicola (University of Trento)
  • Fraldi, Massimiliano (University of Naples "Federico II")
  • Deseri, Luca (University of Trento)

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Fracture phenomena are inherently nonlocal, a fact often accounted for in classical theories through specialized techniques designed to navigate the regularity requirements of classical continuum mechanics (CCM). While some nonlocal models still suffer from similar limitations, strongly nonlocal theories offer a more natural framework for handling discontinuities and damage. Among them, peridynamics (PD) [1] stands out for its ability to model fracture without relying on spatial derivatives or additional failure criteria. A key feature that distinguishes PD from other models is the introduction of a finite interaction length—the horizon—which defines the spatial extent over which material points interact. Within this range, forces are directly exchanged; beyond it, no interaction occurs. This intrinsic length scale not only regularizes the behavior but also enables scale-dependent responses, making PD particularly well-suited to study complex damage processes. Leveraging the microstructural interpretation of bond-based PD—as a dense, statically indeterminate web of interacting trusses—this work investigates a novel class of architected materials under both elastic and post-elastic loading. These materials exhibit unconventional behaviors, such as distal crack nucleation and non-intuitive stress concentrations [2, 3], driven by their intrinsic nonlocal interactions. We systematically explore the influence of external loading conditions, the internal length scale, and the presence of voids to identify the mechanisms by which nonlocality governs damage evolution. This study highlights how tuning nonlocal interactions can lead to unexpected and potentially exploitable mechanical responses in architected continua. REFERENCES [1] Silling S.A., Reformulation of elasticity theory for discontinuities and long-range forces. J. Mech. Phys. Solids (2000) 48(1): 175-209. [2] Cavuoto, R., Cutolo, A., Dayal, K., Deseri, L., Fraldi, M., Distal and nonsymmetrical crack nucleation in delamination of plates via dimensionally-reduced peridynamics. J. Mech. Phys. Solids (2023) 172: 105189 [3] Cavuoto, R., Deseri, L., Fraldi, M., Effects of a nonlocal microstructure on peeling of thin films. Meccanica (2024) 59(8): 1269-1283