Peridynamic Fracture Across Scales - Large Scale Computations With Fast Methods

Explore peridynamic models for fracture and damage across scales in this comprehensive lecture. Discover how nonlocal modeling and fast convolution-based methods enable accurate predictions of dynamic fracture, corrosion damage, and brittle fragmentation at engineering-relevant scales. Learn about the advantages of embedding microscale information into continuum-level models and the efficiency of FFT algorithms in solving integro-differential equations. Examine applications in various materials, including glass, ceramics, concrete, and metals. Understand how stochastic homogenization in peridynamic models can reduce computational complexity while maintaining accuracy in predicting failure behavior. Gain insights into solving dynamic crack branching problems in 3D macro-scale samples and simulating pitting corrosion in steel bars. Explore the potential of these new models when combined with massively parallel computational frameworks for tackling larger scales and more complex multi-physical behaviors.