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Discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review (2019)
Journal Article
Egger, A., Pillai, U., Agathos, K., Kakouris, E., Chatzi, E., Ashcroft, I. A., & Triantafyllou, S. P. (2019). Discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review. Applied Sciences, 9(12), Article 2436. https://doi.org/10.3390/app9122436

© 2019 by the authors. Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elas... Read More about Discrete and phase field methods for linear elastic fracture mechanics: a comparative study and state-of-the-art review.

Material point method for crack propagation in anisotropic media: a phase field approach (2017)
Journal Article
Kakouris, E., & Triantafyllou, S. (2018). Material point method for crack propagation in anisotropic media: a phase field approach. Archive of Applied Mechanics, 88(1-2), 287-316. https://doi.org/10.1007/s00419-017-1272-7

A novel phase field formulation implemented within a material point method setting is developed to address brittle fracture simulation in anisotropic media. The case of strong anisotropy in the crack surface energy is treated by considering an approp... Read More about Material point method for crack propagation in anisotropic media: a phase field approach.