Discrete fractal fracture mechanics

摘要: Abstract A modification of the classical theory brittle fracture solids is offered by relating discrete nature crack propagation to fractal geometry crack. The new model incorporates all previously considered theories processes, in particular Griffith [Griffith AA. phenomenon rupture and flow solids. Philos Trans Roy Soc Lond 1921;A221:163–398] theory, its contemporary extension known as LEFM most recently developed Quantized Fracture Mechanics (QFM) Pugno Ruoff [Pugno N, RS. mechanics. Mag 2004;84(27):2829–45]. Using an equivalent smooth blunt for a given crack, we find that assuming radius curvature material property, roughens while propagating. In other words, dimension at tip monotonically increasing function nominal length, i.e., presence Mirror–Mist–Hackle analytically demonstrated.