Discrete element modeling of brittle crack roughness in three dimensions

摘要: Crack morphology obtained in the fracture of materials with a disordered micro-structure is studied using numerical simulations. Physical properties are embedded on regular three dimensional lattice as discrete stochastic elements which conform to laws linear elasticity. In this model, also known beam lattice, these analogous beams that relative displacements between neighbouring nodes induce axial, bending and shearing forces, real elastic solid. The nature enters via introduction random breaking thresholds individual elements. Using exponent characterizing scaling system size crack roughness perpendicular plane reported. Two different types disorder have been used generate thresholds, i.e., distributions tail towards strong or weak At disorders self-affine regime seems lie beyond sizes presently included. stronger appears, for we obtain exponents consistent 0.6 both disorder. latter result fair agreement experimental value reported large length scales, 0.50.