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Phase-Field Material Point Method for dynamic brittle fracture with isotropic and anisotropic surface energy (2019)
Journal Article
Kakouris, E. G., & Triantafyllou, S. P. (2019). Phase-Field Material Point Method for dynamic brittle fracture with isotropic and anisotropic surface energy. Computer Methods in Applied Mechanics and Engineering, 357, Article 112503. https://doi.org/10.1016/j.cma.2019.06.014

A novel phase field material point method is introduced for robust simulation of dynamic fracture in elastic media considering the most general case of anisotropic surface energy. Anisotropy is explicitly introduced through a properly defined crack d... Read More about Phase-Field Material Point Method for dynamic brittle fracture with isotropic and anisotropic surface energy.

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.

Phase-field material point method for brittle fracture (2017)
Journal Article
Kakouris, E., & Triantafyllou, S. (2017). Phase-field material point method for brittle fracture. International Journal for Numerical Methods in Engineering, 112(12), 1750-1776. https://doi.org/10.1002/nme.5580

The Material Point Method for the analysis of deformable bodies is revisited and originally upgraded to simulate crack propagation in brittle media. In this setting, phase field modelling is introduced to resolve the crack path geometry. Following a... Read More about Phase-field material point method for brittle fracture.