Contributions Manon Voisin--Leprince: Contributed to writing scripts, launching simulations, and analyzing results Joaquin Garcia-Suarez: Contributed to helping analyze results Guillaume Anciaux: Contributed to supervising the project Jean-François Molinari: Contributed to supervising the project All authors reviewed the results and contributed to the manuscript Funding sources Grant 200021_197152, entitled Wear across scales by the Swiss National Science Foundation. FEM-DEM coupling applications The data_mode_I folder is composed of: 1- The DEM folder which contains the scripts to generate the DEM samples used in the simulations (Mode_I and Mode_II) 2- The Mode_I folder which is composed of: mode_I: Contains the scripts and data of the section "Mode I crack propagation" presented in the paper post_processing_mode_I: Contains the files to conduct the post processing relative to the section "Mode I crack propagation" Additional README.md files are provided in the subfolders The notebook folder contains scripts to plot the results of the section "Mode I crack propagation". Mode_II complementary dataset The Mode-II part of the study can be found at https://doi.org/10.5281/zenodo.14264611