Strength and fracture of porous, granular and cellular materials by peridynamic simulations
Résumé
Heterogeneous materials are involved in numerous natural phenomena and industrial applications. Therefore, it is crucial to understand how macroscopic mechanical properties of such materials emerge from underlying micro-structure. To address this topic, numerical simulation approaches are valuable tools,especially when discretization scale is smaller than micro-structure scale. In such a way, the influence of structural parameters can be extensively studied.Among available numerical methods, bond-based peridynamics is a non-local approach which relies on breakable elastic bonds between distant material points within a neighborhood of finite size. As peridynamics is a nonlocal approach, the influence of local mesh anisotropy on crack patterns is significantly reduced, compared with local approaches like lattice elements method.In present study, the bond-based peridynamic approach was implemented in 2D and parallelized by message exchange (MPI). The scalability of the calculation tool and the mesh convergence were tested. Finally, three cases are studied:1) the probability of rupture of porous materials; 2) the evolution of the mechanical properties of a cohesive granular medium for different cementitious matrix contents; 3) the evolution of the damage in various phases of a cellular material as a function of cell wall/interface toughness ratio.