Over the past 15 years, computational models of fracture have been increasingly utilized and pursued to describe and predict the nucleation and propagation of fracture in solids, hard and soft the same, under realistic quasi-static and dynamic loading conditions. In this context, this Mini-Symposium aims at providing a forum to present the state of the art on computational models of fracture in hard ― such as ceramics, glasses, and metals ― and soft solids ― such as elastomers, hydrogels, and biological tissues ― as well as one to present and discuss open problems in the field. Contributions focusing on computational, theoretical, and/or experimental aspects are all welcome.