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Phase-Field Material Point Method for dynamic brittle fracture with isotropic and anisotropic surface energy

Kakouris, Emmanouil G.; Triantafyllou, Savvas P.

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Authors

Emmanouil G. Kakouris

Savvas P. Triantafyllou



Abstract

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 density functional. The particular case of impact driven fracture is treated by employing a discrete field approach within the material point method setting. In this, the equations of motion and phase field governing equations are solved independently for each discrete field using a predictor–corrector algorithm. Contact at the interface is resolved through frictional contact conditions. The proposed method is verified using analytical predictions. The influence of surface energy anisotropy and loading conditions on the resulting crack paths is assessed through a set of benchmark problems. Comparisons are made with the standard Phase Field Finite Element Method and experimental observations.

Citation

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

Journal Article Type Article
Acceptance Date Jun 14, 2019
Online Publication Date Aug 8, 2019
Publication Date Dec 1, 2019
Deposit Date Aug 31, 2019
Publicly Available Date Mar 29, 2024
Journal Computer Methods in Applied Mechanics and Engineering
Print ISSN 0045-7825
Electronic ISSN 1879-2138
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 357
Article Number 112503
DOI https://doi.org/10.1016/j.cma.2019.06.014
Keywords Mechanical Engineering; General Physics and Astronomy; Mechanics of Materials; Computational Mechanics; Computer Science Applications
Public URL https://nottingham-repository.worktribe.com/output/2469090
Publisher URL https://www.sciencedirect.com/science/article/pii/S0045782519303573?via%3Dihub

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