Recent Advances in Modeling Crack Propagation within the Multiphase-Field Framework: An Overview and New Applications Across Various Fields

This work presents recent developments in modeling crack propagation within the
multiphase-field framework. We introduce and validate a novel cubic anisotropic crack
resistance formulation for crack propagation in brittle polycrystalline materials,
demonstrating its performance for varying parameters. Furthermore, we showcase two
extensions of our crack model for simulating: I) pressure-induced micro-crack formation in
polycrystalline metals, and II) diffusion-driven chemo-mechanical crack formation in
lithium-ion battery electrode particles. These extensions highlight the versatility of
multiphase-field crack modeling approaches in addressing diverse engineering challenges,
offering new insights into complex fracture phenomena across different disciplines.