Crack initiation, propagation and merging in explicit Material Point Method!

Figure 1. Cracked ring expansion and contraction

Tito Adibaskoro with co-workers published a very significant development related to simulating cracks in the Material Point Method (MPM). The paper “Multiple discrete crack initiation and propagation in Material Point Method” is published in the Engineering Fracture Mechanics Journal. The paper describes how to extend the Nairn’s Cracks in MPM (CRAMP) algorithm so the cracks can be initiated in any place of the domain, propagate over a path that is determined during the simulation, as well as merge or split during the propagation.

Figure 2. Cracking of a plate with large deformations and no initial crack

The large displacements, inherent to MPM are fully supported, as well as all the explicit MPM algorithms. The paper focuses on the CPDI version of MPM, but the algorithm can be implemented in any mainstream MPM algorithm. The proposed algorithm is also very efficient, reducing the amount of calculations when compared to the original CRAMP very considerably, due to reducing the required number of background grids. Hence, simulations with many cracks are actually doable in reasonable time!

The paper has linked open source code, so it is very easy to try it yourself!

Figure 3. Multiple cracks propagation and merging

Bibliographic Details

Tito Adibaskoro, Stéphane Bordas, Wojciech T. Sołowski, Simo Hostikka,
Multiple discrete crack initiation and propagation in Material Point Method,
Engineering Fracture Mechanics, Volume 301, 2024, 109918, ISSN 0013-7944,
https://doi.org/10.1016/j.engfracmech.2024.109918.