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Phase-field material point method for dynamic brittle fracture with isotropic and anisotropic surface energy

Kakouris, Emmanouil G.

Authors

Emmanouil G. Kakouris



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.

Journal Article Type Article
Publication Date Dec 1, 2019
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
Institution 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, doi:10.1016/j.cma.2019.06.014
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
Publisher URL https://www.sciencedirect.com/science/article/pii/S0045782519303573?via%3Dihub

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