In this talk, we explore using nonlocal analysis to model and understand damage processes in materials. Nonlocal models, which account for long-range interactions beyond immediate neighbors, offer an alternative to traditional local approaches in applied mathematics. This talk will be tailored to an interdisciplinary audience and introduce the key nonlocal analysis concepts. We will then discuss the electrochemical and physical motivations for applying nonlocal models to damaged materials systems focusing on the propagation of metal damage due to corrosion. Extending this idea, we will draw parallels between nonlocal meshes conceptualized as collections of nodes and bonds, and neural networks. Discussion of the future direction of these models will be encouraged which may offer new insights into phenomena such as neural signal propagation and the progression of cognitive degenerative diseases.
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