In this work, we propose to succinctly review, in non technical terms, the current mathematical state of brittle fracture first put forth by A. Griffith his seminal work (Philos Trans R Soc Lond CCXXI-A:163–198, 1920), then re-interpreted under label “variational fracture” Francfort and Marigo (J. Mech Phys Solids 46(8):1319–1342, 1998). subsequent works. We will only address sharp theory limit...