“…The second approach relies on a mesoscale description of the material and an explicit description of the heterogeneities in the material. Pioneering works, for example, by Van Mier and co-workers, Herrmann and co-workers or by Zubelewicz and Bazant [18][19][20][21], have been extended to many problems, including dynamic fracturing in impact problems [22], cracking in coupled hydromechanical problems [23], modelling of phase interfaces at crack initiation [24], rock mechanics [25], concrete behaviour under high triaxial loading [26], fracture process of strain-hardening cementitious composites [27], fracture of multiphase particulate materials [28], quasi-static crack propagation [29], structural size effect [30,31] and general failure behaviour of concrete [32,33]. The structural size effect on notched bending beams is properly described using this second approach [30].Grassl and co-workers [34] demonstrated that mesoscale modelling was very efficient at describing not only size effect on the peak load but also the entire load deflection response of bending beams.…”